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988,920

988,920 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.).

988,920 (nine hundred eighty-eight thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 41 × 67. Its proper divisors sum to 2,352,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF16F8.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
29,889
Square (n²)
977,962,766,400
Cube (n³)
967,126,938,948,288,000
Divisor count
96
σ(n) — sum of divisors
3,341,520
φ(n) — Euler's totient
253,440
Sum of prime factors
125

Primality

Prime factorization: 2 3 × 3 2 × 5 × 41 × 67

Nearest primes: 988,909 (−11) · 988,937 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 30 · 36 · 40 · 41 · 45 · 60 · 67 · 72 · 82 · 90 · 120 · 123 · 134 · 164 · 180 · 201 · 205 · 246 · 268 · 328 · 335 · 360 · 369 · 402 · 410 · 492 · 536 · 603 · 615 · 670 · 738 · 804 · 820 · 984 · 1005 · 1206 · 1230 · 1340 · 1476 · 1608 · 1640 · 1845 · 2010 · 2412 · 2460 · 2680 · 2747 · 2952 · 3015 · 3690 · 4020 · 4824 · 4920 · 5494 · 6030 · 7380 · 8040 · 8241 · 10988 · 12060 · 13735 · 14760 · 16482 · 21976 · 24120 · 24723 · 27470 · 32964 · 41205 · 49446 · 54940 · 65928 · 82410 · 98892 · 109880 · 123615 · 164820 · 197784 · 247230 · 329640 · 494460 (half) · 988920
Aliquot sum (sum of proper divisors): 2,352,600
Factor pairs (a × b = 988,920)
1 × 988920
2 × 494460
3 × 329640
4 × 247230
5 × 197784
6 × 164820
8 × 123615
9 × 109880
10 × 98892
12 × 82410
15 × 65928
18 × 54940
20 × 49446
24 × 41205
30 × 32964
36 × 27470
40 × 24723
41 × 24120
45 × 21976
60 × 16482
67 × 14760
72 × 13735
82 × 12060
90 × 10988
120 × 8241
123 × 8040
134 × 7380
164 × 6030
180 × 5494
201 × 4920
205 × 4824
246 × 4020
268 × 3690
328 × 3015
335 × 2952
360 × 2747
369 × 2680
402 × 2460
410 × 2412
492 × 2010
536 × 1845
603 × 1640
615 × 1608
670 × 1476
738 × 1340
804 × 1230
820 × 1206
984 × 1005
First multiples
988,920 · 1,977,840 (double) · 2,966,760 · 3,955,680 · 4,944,600 · 5,933,520 · 6,922,440 · 7,911,360 · 8,900,280 · 9,889,200

Sums & aliquot sequence

As consecutive integers: 329,639 + 329,640 + 329,641 197,782 + 197,783 + 197,784 + 197,785 + 197,786 109,876 + 109,877 + … + 109,884 65,921 + 65,922 + … + 65,935
Aliquot sequence: 988,920 2,352,600 5,554,260 11,611,980 24,764,724 41,662,476 70,018,548 96,301,452 149,811,828 209,735,052 308,434,404 417,617,916 556,823,916 1,136,616,084 1,811,985,516 3,190,741,668 5,386,947,452 — unresolved within range

Continued fraction of √n

√988,920 = [994; (2, 4, 99, 4, 2, 1988)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-eight thousand nine hundred twenty
Ordinal
988920th
Binary
11110001011011111000
Octal
3613370
Hexadecimal
0xF16F8
Base64
Dxb4
One's complement
4,293,978,375 (32-bit)
Scientific notation
9.8892 × 10⁵
As a duration
988,920 s = 11 days, 10 hours, 42 minutes
In other bases
ternary (3) 1212020112200
quaternary (4) 3301123320
quinary (5) 223121140
senary (6) 33110200
septenary (7) 11256102
nonary (9) 1766480
undecimal (11) 615a99
duodecimal (12) 3b8360
tridecimal (13) 28817a
tetradecimal (14) 1ba572
pentadecimal (15) 148030

As an angle

988,920° = 2,747 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ϡπηϡκʹ
Chinese
九十八萬八千九百二十
Chinese (financial)
玖拾捌萬捌仟玖佰貳拾
In other modern scripts
Eastern Arabic ٩٨٨٩٢٠ Devanagari ९८८९२० Bengali ৯৮৮৯২০ Tamil ௯௮௮௯௨௦ Thai ๙๘๘๙๒๐ Tibetan ༩༨༨༩༢༠ Khmer ៩៨៨៩២០ Lao ໙໘໘໙໒໐ Burmese ၉၈၈၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988920, here are decompositions:

  • 11 + 988909 = 988920
  • 19 + 988901 = 988920
  • 43 + 988877 = 988920
  • 59 + 988861 = 988920
  • 61 + 988859 = 988920
  • 71 + 988849 = 988920
  • 83 + 988837 = 988920
  • 131 + 988789 = 988920

Showing the first eight; more decompositions exist.

Hex color
#0F16F8
RGB(15, 22, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.22.248.

Address
0.15.22.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.22.248

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 988,920 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 988920 first appears in π at position 472,217 of the decimal expansion (the 472,217ordinal-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°.