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982,080

982,080 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

982,080 (nine hundred eighty-two thousand eighty) is an even 6-digit number. It is a composite number with 168 divisors, and factors as 2⁶ × 3² × 5 × 11 × 31. Its proper divisors sum to 2,821,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEFC40.

Abundant Number Evil Number Gapful Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
80,289
Square (n²)
964,481,126,400
Cube (n³)
947,197,624,614,912,000
Divisor count
168
σ(n) — sum of divisors
3,803,904
φ(n) — Euler's totient
230,400
Sum of prime factors
65

Primality

Prime factorization: 2 6 × 3 2 × 5 × 11 × 31

Nearest primes: 982,067 (−13) · 982,087 (+7)

Divisors & multiples

All divisors (168)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 16 · 18 · 20 · 22 · 24 · 30 · 31 · 32 · 33 · 36 · 40 · 44 · 45 · 48 · 55 · 60 · 62 · 64 · 66 · 72 · 80 · 88 · 90 · 93 · 96 · 99 · 110 · 120 · 124 · 132 · 144 · 155 · 160 · 165 · 176 · 180 · 186 · 192 · 198 · 220 · 240 · 248 · 264 · 279 · 288 · 310 · 320 · 330 · 341 · 352 · 360 · 372 · 396 · 440 · 465 · 480 · 495 · 496 · 528 · 558 · 576 · 620 · 660 · 682 · 704 · 720 · 744 · 792 · 880 · 930 · 960 · 990 · 992 · 1023 · 1056 · 1116 · 1240 · 1320 · 1364 · 1395 · 1440 · 1488 · 1584 · 1705 · 1760 · 1860 · 1980 · 1984 · 2046 · 2112 · 2232 · 2480 · 2640 · 2728 · 2790 · 2880 · 2976 · 3069 · 3168 · 3410 · 3520 · 3720 · 3960 · 4092 · 4464 · 4960 · 5115 · 5280 · 5456 · 5580 · 5952 · 6138 · 6336 · 6820 · 7440 · 7920 · 8184 · 8928 · 9920 · 10230 · 10560 · 10912 · 11160 · 12276 · 13640 · 14880 · 15345 · 15840 · 16368 · 17856 · 20460 · 21824 · 22320 · 24552 · 27280 · 29760 · 30690 · 31680 · 32736 · 40920 · 44640 · 49104 · 54560 · 61380 · 65472 · 81840 · 89280 · 98208 · 109120 · 122760 · 163680 · 196416 · 245520 · 327360 · 491040 (half) · 982080
Aliquot sum (sum of proper divisors): 2,821,824
Factor pairs (a × b = 982,080)
1 × 982080
2 × 491040
3 × 327360
4 × 245520
5 × 196416
6 × 163680
8 × 122760
9 × 109120
10 × 98208
11 × 89280
12 × 81840
15 × 65472
16 × 61380
18 × 54560
20 × 49104
22 × 44640
24 × 40920
30 × 32736
31 × 31680
32 × 30690
33 × 29760
36 × 27280
40 × 24552
44 × 22320
45 × 21824
48 × 20460
55 × 17856
60 × 16368
62 × 15840
64 × 15345
66 × 14880
72 × 13640
80 × 12276
88 × 11160
90 × 10912
93 × 10560
96 × 10230
99 × 9920
110 × 8928
120 × 8184
124 × 7920
132 × 7440
144 × 6820
155 × 6336
160 × 6138
165 × 5952
176 × 5580
180 × 5456
186 × 5280
192 × 5115
198 × 4960
220 × 4464
240 × 4092
248 × 3960
264 × 3720
279 × 3520
288 × 3410
310 × 3168
320 × 3069
330 × 2976
341 × 2880
352 × 2790
360 × 2728
372 × 2640
396 × 2480
440 × 2232
465 × 2112
480 × 2046
495 × 1984
496 × 1980
528 × 1860
558 × 1760
576 × 1705
620 × 1584
660 × 1488
682 × 1440
704 × 1395
720 × 1364
744 × 1320
792 × 1240
880 × 1116
930 × 1056
960 × 1023
990 × 992
First multiples
982,080 · 1,964,160 (double) · 2,946,240 · 3,928,320 · 4,910,400 · 5,892,480 · 6,874,560 · 7,856,640 · 8,838,720 · 9,820,800

Sums & aliquot sequence

As consecutive integers: 327,359 + 327,360 + 327,361 196,414 + 196,415 + 196,416 + 196,417 + 196,418 109,116 + 109,117 + … + 109,124 89,275 + 89,276 + … + 89,285
Aliquot sequence: 982,080 2,821,824 5,956,416 11,795,136 20,781,888 37,447,104 67,013,952 114,439,584 246,988,896 561,362,592 1,161,978,720 3,047,429,280 7,923,328,224 16,314,370,464 — keeps growing

Continued fraction of √n

√982,080 = [990; (1, 1980)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-two thousand eighty
Ordinal
982080th
Binary
11101111110001000000
Octal
3576100
Hexadecimal
0xEFC40
Base64
DvxA
One's complement
4,293,985,215 (32-bit)
Scientific notation
9.8208 × 10⁵
As a duration
982,080 s = 11 days, 8 hours, 48 minutes
In other bases
ternary (3) 1211220011100
quaternary (4) 3233301000
quinary (5) 222411310
senary (6) 33014400
septenary (7) 11230131
nonary (9) 1756140
undecimal (11) 610940
duodecimal (12) 3b4400
tridecimal (13) 285018
tetradecimal (14) 1b7c88
pentadecimal (15) 145ec0

As an angle

982,080° = 2,728 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡπβπʹ
Chinese
九十八萬二千零八十
Chinese (financial)
玖拾捌萬貳仟零捌拾
In other modern scripts
Eastern Arabic ٩٨٢٠٨٠ Devanagari ९८२०८० Bengali ৯৮২০৮০ Tamil ௯௮௨௦௮௦ Thai ๙๘๒๐๘๐ Tibetan ༩༨༢༠༨༠ Khmer ៩៨២០៨០ Lao ໙໘໒໐໘໐ Burmese ၉၈၂၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 982080, here are decompositions:

  • 13 + 982067 = 982080
  • 17 + 982063 = 982080
  • 19 + 982061 = 982080
  • 23 + 982057 = 982080
  • 59 + 982021 = 982080
  • 97 + 981983 = 982080
  • 101 + 981979 = 982080
  • 131 + 981949 = 982080

Showing the first eight; more decompositions exist.

Hex color
#0EFC40
RGB(14, 252, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.252.64.

Address
0.14.252.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.252.64

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 982,080 and was likely granted around 1910.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 982080 first appears in π at position 647,507 of the decimal expansion (the 647,507ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.