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980,424

980,424 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.).

980,424 (nine hundred eighty thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2³ × 3⁴ × 17 × 89. Its proper divisors sum to 1,959,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEF5C8.

Abundant Number Evil Number Harshad / Niven 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
424,089
Square (n²)
961,231,219,776
Cube (n³)
942,414,157,417,665,024
Divisor count
80
σ(n) — sum of divisors
2,940,300
φ(n) — Euler's totient
304,128
Sum of prime factors
124

Primality

Prime factorization: 2 3 × 3 4 × 17 × 89

Nearest primes: 980,423 (−1) · 980,431 (+7)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 17 · 18 · 24 · 27 · 34 · 36 · 51 · 54 · 68 · 72 · 81 · 89 · 102 · 108 · 136 · 153 · 162 · 178 · 204 · 216 · 267 · 306 · 324 · 356 · 408 · 459 · 534 · 612 · 648 · 712 · 801 · 918 · 1068 · 1224 · 1377 · 1513 · 1602 · 1836 · 2136 · 2403 · 2754 · 3026 · 3204 · 3672 · 4539 · 4806 · 5508 · 6052 · 6408 · 7209 · 9078 · 9612 · 11016 · 12104 · 13617 · 14418 · 18156 · 19224 · 27234 · 28836 · 36312 · 40851 · 54468 · 57672 · 81702 · 108936 · 122553 · 163404 · 245106 · 326808 · 490212 (half) · 980424
Aliquot sum (sum of proper divisors): 1,959,876
Factor pairs (a × b = 980,424)
1 × 980424
2 × 490212
3 × 326808
4 × 245106
6 × 163404
8 × 122553
9 × 108936
12 × 81702
17 × 57672
18 × 54468
24 × 40851
27 × 36312
34 × 28836
36 × 27234
51 × 19224
54 × 18156
68 × 14418
72 × 13617
81 × 12104
89 × 11016
102 × 9612
108 × 9078
136 × 7209
153 × 6408
162 × 6052
178 × 5508
204 × 4806
216 × 4539
267 × 3672
306 × 3204
324 × 3026
356 × 2754
408 × 2403
459 × 2136
534 × 1836
612 × 1602
648 × 1513
712 × 1377
801 × 1224
918 × 1068
First multiples
980,424 · 1,960,848 (double) · 2,941,272 · 3,921,696 · 4,902,120 · 5,882,544 · 6,862,968 · 7,843,392 · 8,823,816 · 9,804,240

Sums & aliquot sequence

As a sum of two squares: 18² + 990² = 450² + 882²
As consecutive integers: 326,807 + 326,808 + 326,809 108,932 + 108,933 + … + 108,940 61,269 + 61,270 + … + 61,284 57,664 + 57,665 + … + 57,680
Aliquot sequence: 980,424 1,959,876 3,406,716 5,270,316 7,094,484 11,259,852 15,078,180 30,668,892 43,360,308 66,245,006 33,215,434 24,916,520 32,516,800 47,498,788 35,624,098 18,456,110 14,764,906 — unresolved within range

Continued fraction of √n

√980,424 = [990; (6, 8, 1, 23, 1, 1, 3, 1, 5, 2, 1, 219, 2, 1, 5, 2, 4, 24, 4, 2, 5, 1, 2, 219, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty thousand four hundred twenty-four
Ordinal
980424th
Binary
11101111010111001000
Octal
3572710
Hexadecimal
0xEF5C8
Base64
DvXI
One's complement
4,293,986,871 (32-bit)
Scientific notation
9.80424 × 10⁵
As a duration
980,424 s = 11 days, 8 hours, 20 minutes, 24 seconds
In other bases
ternary (3) 1211210220000
quaternary (4) 3233113020
quinary (5) 222333144
senary (6) 33003000
septenary (7) 11222244
nonary (9) 1753800
undecimal (11) 60a675
duodecimal (12) 3b3460
tridecimal (13) 284343
tetradecimal (14) 1b7424
pentadecimal (15) 145769

As an angle

980,424° = 2,723 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡπυκδʹ
Chinese
九十八萬零四百二十四
Chinese (financial)
玖拾捌萬零肆佰貳拾肆
In other modern scripts
Eastern Arabic ٩٨٠٤٢٤ Devanagari ९८०४२४ Bengali ৯৮০৪২৪ Tamil ௯௮௦௪௨௪ Thai ๙๘๐๔๒๔ Tibetan ༩༨༠༤༢༤ Khmer ៩៨០៤២៤ Lao ໙໘໐໔໒໔ Burmese ၉၈၀၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 980424, here are decompositions:

  • 7 + 980417 = 980424
  • 23 + 980401 = 980424
  • 31 + 980393 = 980424
  • 47 + 980377 = 980424
  • 61 + 980363 = 980424
  • 97 + 980327 = 980424
  • 103 + 980321 = 980424
  • 131 + 980293 = 980424

Showing the first eight; more decompositions exist.

Hex color
#0EF5C8
RGB(14, 245, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.245.200.

Address
0.14.245.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.245.200

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 980,424 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 980424 first appears in π at position 242,328 of the decimal expansion (the 242,328ordinal-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°.