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117,792

117,792 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.).

117,792 (one hundred seventeen thousand seven hundred ninety-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 3² × 409. Its proper divisors sum to 217,998, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CC20.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
882
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
297,711
Square (n²)
13,874,955,264
Cube (n³)
1,634,358,730,457,088
Divisor count
36
σ(n) — sum of divisors
335,790
φ(n) — Euler's totient
39,168
Sum of prime factors
425

Primality

Prime factorization: 2 5 × 3 2 × 409

Nearest primes: 117,787 (−5) · 117,797 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 72 · 96 · 144 · 288 · 409 · 818 · 1227 · 1636 · 2454 · 3272 · 3681 · 4908 · 6544 · 7362 · 9816 · 13088 · 14724 · 19632 · 29448 · 39264 · 58896 (half) · 117792
Aliquot sum (sum of proper divisors): 217,998
Factor pairs (a × b = 117,792)
1 × 117792
2 × 58896
3 × 39264
4 × 29448
6 × 19632
8 × 14724
9 × 13088
12 × 9816
16 × 7362
18 × 6544
24 × 4908
32 × 3681
36 × 3272
48 × 2454
72 × 1636
96 × 1227
144 × 818
288 × 409
First multiples
117,792 · 235,584 (double) · 353,376 · 471,168 · 588,960 · 706,752 · 824,544 · 942,336 · 1,060,128 · 1,177,920

Sums & aliquot sequence

As a sum of two squares: 204² + 276²
As consecutive integers: 39,263 + 39,264 + 39,265 13,084 + 13,085 + … + 13,092 1,809 + 1,810 + … + 1,872 518 + 519 + … + 709
Aliquot sequence: 117,792 217,998 311,922 456,846 527,298 573,438 610,818 743,934 743,946 956,598 1,086,282 1,349,658 1,608,570 2,656,782 3,159,522 3,729,438 4,351,050 — unresolved within range

Continued fraction of √n

√117,792 = [343; (4, 1, 3, 1, 29, 19, 29, 1, 3, 1, 4, 686)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand seven hundred ninety-two
Ordinal
117792nd
Binary
11100110000100000
Octal
346040
Hexadecimal
0x1CC20
Base64
Acwg
One's complement
4,294,849,503 (32-bit)
Scientific notation
1.17792 × 10⁵
As a duration
117,792 s = 1 day, 8 hours, 43 minutes, 12 seconds
In other bases
ternary (3) 12222120200
quaternary (4) 130300200
quinary (5) 12232132
senary (6) 2305200
septenary (7) 1000263
nonary (9) 188520
undecimal (11) 80554
duodecimal (12) 58200
tridecimal (13) 417cc
tetradecimal (14) 30cda
pentadecimal (15) 24d7c

As an angle

117,792° = 327 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριζψϟβʹ
Mayan (base 20)
𝋮·𝋮·𝋩·𝋬
Chinese
一十一萬七千七百九十二
Chinese (financial)
壹拾壹萬柒仟柒佰玖拾貳
In other modern scripts
Eastern Arabic ١١٧٧٩٢ Devanagari ११७७९२ Bengali ১১৭৭৯২ Tamil ௧௧௭௭௯௨ Thai ๑๑๗๗๙๒ Tibetan ༡༡༧༧༩༢ Khmer ១១៧៧៩២ Lao ໑໑໗໗໙໒ Burmese ၁၁၇၇၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117792, here are decompositions:

  • 5 + 117787 = 117792
  • 13 + 117779 = 117792
  • 19 + 117773 = 117792
  • 29 + 117763 = 117792
  • 41 + 117751 = 117792
  • 61 + 117731 = 117792
  • 71 + 117721 = 117792
  • 83 + 117709 = 117792

Showing the first eight; more decompositions exist.

Unicode codepoint
𜰠
Box Drawings Double Diagonal Upper Left To Lower Right
U+1CC20
Other symbol (So)

UTF-8 encoding: F0 9C B0 A0 (4 bytes).

Hex color
#01CC20
RGB(1, 204, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.32.

Address
0.1.204.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.32

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 117,792 and was likely granted around 1871.

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

Position in π

The digit sequence 117792 first appears in π at position 13,757 of the decimal expansion (the 13,757ordinal-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°.