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997,832

997,832 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.).

997,832 (nine hundred ninety-seven thousand eight hundred thirty-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 11 × 17 × 23 × 29. Its proper divisors sum to 1,334,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF39C8.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
38
Digit product
27,216
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
238,799
Square (n²)
995,668,700,224
Cube (n³)
993,510,090,481,914,368
Divisor count
64
σ(n) — sum of divisors
2,332,800
φ(n) — Euler's totient
394,240
Sum of prime factors
86

Primality

Prime factorization: 2 3 × 11 × 17 × 23 × 29

Nearest primes: 997,813 (−19) · 997,877 (+45)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 8 · 11 · 17 · 22 · 23 · 29 · 34 · 44 · 46 · 58 · 68 · 88 · 92 · 116 · 136 · 184 · 187 · 232 · 253 · 319 · 374 · 391 · 493 · 506 · 638 · 667 · 748 · 782 · 986 · 1012 · 1276 · 1334 · 1496 · 1564 · 1972 · 2024 · 2552 · 2668 · 3128 · 3944 · 4301 · 5336 · 5423 · 7337 · 8602 · 10846 · 11339 · 14674 · 17204 · 21692 · 22678 · 29348 · 34408 · 43384 · 45356 · 58696 · 90712 · 124729 · 249458 · 498916 (half) · 997832
Aliquot sum (sum of proper divisors): 1,334,968
Factor pairs (a × b = 997,832)
1 × 997832
2 × 498916
4 × 249458
8 × 124729
11 × 90712
17 × 58696
22 × 45356
23 × 43384
29 × 34408
34 × 29348
44 × 22678
46 × 21692
58 × 17204
68 × 14674
88 × 11339
92 × 10846
116 × 8602
136 × 7337
184 × 5423
187 × 5336
232 × 4301
253 × 3944
319 × 3128
374 × 2668
391 × 2552
493 × 2024
506 × 1972
638 × 1564
667 × 1496
748 × 1334
782 × 1276
986 × 1012
First multiples
997,832 · 1,995,664 (double) · 2,993,496 · 3,991,328 · 4,989,160 · 5,986,992 · 6,984,824 · 7,982,656 · 8,980,488 · 9,978,320

Sums & aliquot sequence

As consecutive integers: 90,707 + 90,708 + … + 90,717 62,357 + 62,358 + … + 62,372 58,688 + 58,689 + … + 58,704 43,373 + 43,374 + … + 43,395
Aliquot sequence: 997,832 1,334,968 1,168,112 1,301,224 1,151,096 1,121,104 1,105,316 844,072 738,578 378,142 202,394 101,200 175,568 164,626 143,534 76,906 38,456 — unresolved within range

Continued fraction of √n

√997,832 = [998; (1, 10, 1, 4, 1, 1, 1, 1, 1, 1, 2, 5, 3, 1, 1, 1, 1, 7, 6, 7, 1, 1, 1, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-seven thousand eight hundred thirty-two
Ordinal
997832nd
Binary
11110011100111001000
Octal
3634710
Hexadecimal
0xF39C8
Base64
DznI
One's complement
4,293,969,463 (32-bit)
Scientific notation
9.97832 × 10⁵
As a duration
997,832 s = 11 days, 13 hours, 10 minutes, 32 seconds
In other bases
ternary (3) 1212200202202
quaternary (4) 3303213020
quinary (5) 223412312
senary (6) 33215332
septenary (7) 11324063
nonary (9) 1780682
undecimal (11) 621760
duodecimal (12) 401548
tridecimal (13) 28c244
tetradecimal (14) 1bd8da
pentadecimal (15) 14a9c2

As an angle

997,832° = 2,771 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ϡϟζωλβʹ
Chinese
九十九萬七千八百三十二
Chinese (financial)
玖拾玖萬柒仟捌佰參拾貳
In other modern scripts
Eastern Arabic ٩٩٧٨٣٢ Devanagari ९९७८३२ Bengali ৯৯৭৮৩২ Tamil ௯௯௭௮௩௨ Thai ๙๙๗๘๓๒ Tibetan ༩༩༧༨༣༢ Khmer ៩៩៧៨៣២ Lao ໙໙໗໘໓໒ Burmese ၉၉၇၈၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997832, here are decompositions:

  • 19 + 997813 = 997832
  • 139 + 997693 = 997832
  • 151 + 997681 = 997832
  • 181 + 997651 = 997832
  • 223 + 997609 = 997832
  • 379 + 997453 = 997832
  • 463 + 997369 = 997832
  • 499 + 997333 = 997832

Showing the first eight; more decompositions exist.

Hex color
#0F39C8
RGB(15, 57, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.57.200.

Address
0.15.57.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.57.200

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 997,832 and was likely granted around 1911.

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

Related reading

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