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988,260

988,260 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.).

988,260 (nine hundred eighty-eight thousand two hundred sixty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 7 × 13 × 181. Its proper divisors sum to 2,436,252, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1464.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Smith Number Tetrahedral Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
62,889
Square (n²)
976,657,827,600
Cube (n³)
965,191,864,703,976,000
Divisor count
96
σ(n) — sum of divisors
3,424,512
φ(n) — Euler's totient
207,360
Sum of prime factors
213

Primality

Prime factorization: 2 2 × 3 × 5 × 7 × 13 × 181

Nearest primes: 988,243 (−17) · 988,271 (+11)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 13 · 14 · 15 · 20 · 21 · 26 · 28 · 30 · 35 · 39 · 42 · 52 · 60 · 65 · 70 · 78 · 84 · 91 · 105 · 130 · 140 · 156 · 181 · 182 · 195 · 210 · 260 · 273 · 362 · 364 · 390 · 420 · 455 · 543 · 546 · 724 · 780 · 905 · 910 · 1086 · 1092 · 1267 · 1365 · 1810 · 1820 · 2172 · 2353 · 2534 · 2715 · 2730 · 3620 · 3801 · 4706 · 5068 · 5430 · 5460 · 6335 · 7059 · 7602 · 9412 · 10860 · 11765 · 12670 · 14118 · 15204 · 16471 · 19005 · 23530 · 25340 · 28236 · 32942 · 35295 · 38010 · 47060 · 49413 · 65884 · 70590 · 76020 · 82355 · 98826 · 141180 · 164710 · 197652 · 247065 · 329420 · 494130 (half) · 988260
Aliquot sum (sum of proper divisors): 2,436,252
Factor pairs (a × b = 988,260)
1 × 988260
2 × 494130
3 × 329420
4 × 247065
5 × 197652
6 × 164710
7 × 141180
10 × 98826
12 × 82355
13 × 76020
14 × 70590
15 × 65884
20 × 49413
21 × 47060
26 × 38010
28 × 35295
30 × 32942
35 × 28236
39 × 25340
42 × 23530
52 × 19005
60 × 16471
65 × 15204
70 × 14118
78 × 12670
84 × 11765
91 × 10860
105 × 9412
130 × 7602
140 × 7059
156 × 6335
181 × 5460
182 × 5430
195 × 5068
210 × 4706
260 × 3801
273 × 3620
362 × 2730
364 × 2715
390 × 2534
420 × 2353
455 × 2172
543 × 1820
546 × 1810
724 × 1365
780 × 1267
905 × 1092
910 × 1086
First multiples
988,260 · 1,976,520 (double) · 2,964,780 · 3,953,040 · 4,941,300 · 5,929,560 · 6,917,820 · 7,906,080 · 8,894,340 · 9,882,600

Sums & aliquot sequence

As consecutive integers: 329,419 + 329,420 + 329,421 197,650 + 197,651 + 197,652 + 197,653 + 197,654 141,177 + 141,178 + … + 141,183 123,529 + 123,530 + … + 123,536
Aliquot sequence: 988,260 2,436,252 4,939,620 11,725,980 25,798,500 79,642,836 185,267,628 416,679,732 815,751,468 1,540,864,612 1,543,940,188 1,545,251,204 1,546,540,156 1,601,774,132 1,676,128,972 1,690,052,308 1,814,408,876 — unresolved within range

Continued fraction of √n

√988,260 = [994; (8, 1, 7, 30, 1, 15, 2, 6, 2, 1, 1, 7, 5, 1, 4, 11, 1, 5, 2, 1, 2, 12, 2, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-eight thousand two hundred sixty
Ordinal
988260th
Binary
11110001010001100100
Octal
3612144
Hexadecimal
0xF1464
Base64
DxRk
One's complement
4,293,979,035 (32-bit)
Scientific notation
9.8826 × 10⁵
As a duration
988,260 s = 11 days, 10 hours, 31 minutes
In other bases
ternary (3) 1212012122020
quaternary (4) 3301101210
quinary (5) 223111020
senary (6) 33103140
septenary (7) 11254140
nonary (9) 1765566
undecimal (11) 615549
duodecimal (12) 3b7ab0
tridecimal (13) 287a90
tetradecimal (14) 1ba220
pentadecimal (15) 147c40

As an angle

988,260° = 2,745 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡπησξʹ
Chinese
九十八萬八千二百六十
Chinese (financial)
玖拾捌萬捌仟貳佰陸拾
In other modern scripts
Eastern Arabic ٩٨٨٢٦٠ Devanagari ९८८२६० Bengali ৯৮৮২৬০ Tamil ௯௮௮௨௬௦ Thai ๙๘๘๒๖๐ Tibetan ༩༨༨༢༦༠ Khmer ៩៨៨២៦០ Lao ໙໘໘໒໖໐ Burmese ၉၈၈၂၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988260, here are decompositions:

  • 17 + 988243 = 988260
  • 23 + 988237 = 988260
  • 29 + 988231 = 988260
  • 41 + 988219 = 988260
  • 43 + 988217 = 988260
  • 47 + 988213 = 988260
  • 61 + 988199 = 988260
  • 103 + 988157 = 988260

Showing the first eight; more decompositions exist.

Hex color
#0F1464
RGB(15, 20, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.100.

Address
0.15.20.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.20.100

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 988,260 and was likely granted around 1911.

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

Position in π

The digit sequence 988260 first appears in π at position 569,186 of the decimal expansion (the 569,186ordinal-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°.