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988,720

988,720 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.).

988,720 (nine hundred eighty-eight thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 727. Its proper divisors sum to 1,448,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1630.

Abundant Number Happy Number Harshad / Niven Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
34
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
27,889
Square (n²)
977,567,238,400
Cube (n³)
966,540,279,950,848,000
Divisor count
40
σ(n) — sum of divisors
2,437,344
φ(n) — Euler's totient
371,712
Sum of prime factors
757

Primality

Prime factorization: 2 4 × 5 × 17 × 727

Nearest primes: 988,711 (−9) · 988,727 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 34 · 40 · 68 · 80 · 85 · 136 · 170 · 272 · 340 · 680 · 727 · 1360 · 1454 · 2908 · 3635 · 5816 · 7270 · 11632 · 12359 · 14540 · 24718 · 29080 · 49436 · 58160 · 61795 · 98872 · 123590 · 197744 · 247180 · 494360 (half) · 988720
Aliquot sum (sum of proper divisors): 1,448,624
Factor pairs (a × b = 988,720)
1 × 988720
2 × 494360
4 × 247180
5 × 197744
8 × 123590
10 × 98872
16 × 61795
17 × 58160
20 × 49436
34 × 29080
40 × 24718
68 × 14540
80 × 12359
85 × 11632
136 × 7270
170 × 5816
272 × 3635
340 × 2908
680 × 1454
727 × 1360
First multiples
988,720 · 1,977,440 (double) · 2,966,160 · 3,954,880 · 4,943,600 · 5,932,320 · 6,921,040 · 7,909,760 · 8,898,480 · 9,887,200

Sums & aliquot sequence

As consecutive integers: 197,742 + 197,743 + 197,744 + 197,745 + 197,746 58,152 + 58,153 + … + 58,168 30,882 + 30,883 + … + 30,913 11,590 + 11,591 + … + 11,674
Aliquot sequence: 988,720 1,448,624 1,435,120 1,901,720 2,377,240 3,032,840 3,791,140 4,236,572 3,419,188 2,795,020 3,454,580 4,182,700 4,986,852 7,618,188 10,731,892 9,016,844 6,762,640 — unresolved within range

Continued fraction of √n

√988,720 = [994; (2, 1, 9, 1, 2, 1, 12, 2, 2, 1, 7, 1, 1, 1, 1, 4, 3, 6, 1, 3, 3, 1, 1, 2, …)]

Representations

In words
nine hundred eighty-eight thousand seven hundred twenty
Ordinal
988720th
Binary
11110001011000110000
Octal
3613060
Hexadecimal
0xF1630
Base64
DxYw
One's complement
4,293,978,575 (32-bit)
Scientific notation
9.8872 × 10⁵
As a duration
988,720 s = 11 days, 10 hours, 38 minutes, 40 seconds
In other bases
ternary (3) 1212020021021
quaternary (4) 3301120300
quinary (5) 223114340
senary (6) 33105224
septenary (7) 11255365
nonary (9) 1766237
undecimal (11) 615927
duodecimal (12) 3b8214
tridecimal (13) 288055
tetradecimal (14) 1ba46c
pentadecimal (15) 147e4a

As an angle

988,720° = 2,746 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ϡπηψκʹ
Chinese
九十八萬八千七百二十
Chinese (financial)
玖拾捌萬捌仟柒佰貳拾
In other modern scripts
Eastern Arabic ٩٨٨٧٢٠ Devanagari ९८८७२० Bengali ৯৮৮৭২০ Tamil ௯௮௮௭௨௦ Thai ๙๘๘๗๒๐ Tibetan ༩༨༨༧༢༠ Khmer ៩៨៨៧២០ Lao ໙໘໘໗໒໐ Burmese ၉၈၈၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988720, here are decompositions:

  • 59 + 988661 = 988720
  • 71 + 988649 = 988720
  • 113 + 988607 = 988720
  • 137 + 988583 = 988720
  • 149 + 988571 = 988720
  • 179 + 988541 = 988720
  • 281 + 988439 = 988720
  • 311 + 988409 = 988720

Showing the first eight; more decompositions exist.

Hex color
#0F1630
RGB(15, 22, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.22.48.

Address
0.15.22.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.22.48

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 988,720 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 988720 first appears in π at position 767,104 of the decimal expansion (the 767,104ordinal-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°.