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117,552

117,552 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.).

117,552 (one hundred seventeen thousand five hundred fifty-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 31 × 79. Its proper divisors sum to 199,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CB30.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
350
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
255,711
Square (n²)
13,818,472,704
Cube (n³)
1,624,389,103,300,608
Divisor count
40
σ(n) — sum of divisors
317,440
φ(n) — Euler's totient
37,440
Sum of prime factors
121

Primality

Prime factorization: 2 4 × 3 × 31 × 79

Nearest primes: 117,541 (−11) · 117,563 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 31 · 48 · 62 · 79 · 93 · 124 · 158 · 186 · 237 · 248 · 316 · 372 · 474 · 496 · 632 · 744 · 948 · 1264 · 1488 · 1896 · 2449 · 3792 · 4898 · 7347 · 9796 · 14694 · 19592 · 29388 · 39184 · 58776 (half) · 117552
Aliquot sum (sum of proper divisors): 199,888
Factor pairs (a × b = 117,552)
1 × 117552
2 × 58776
3 × 39184
4 × 29388
6 × 19592
8 × 14694
12 × 9796
16 × 7347
24 × 4898
31 × 3792
48 × 2449
62 × 1896
79 × 1488
93 × 1264
124 × 948
158 × 744
186 × 632
237 × 496
248 × 474
316 × 372
First multiples
117,552 · 235,104 (double) · 352,656 · 470,208 · 587,760 · 705,312 · 822,864 · 940,416 · 1,057,968 · 1,175,520

Sums & aliquot sequence

As consecutive integers: 39,183 + 39,184 + 39,185 3,777 + 3,778 + … + 3,807 3,658 + 3,659 + … + 3,689 1,449 + 1,450 + … + 1,527
Aliquot sequence: 117,552 199,888 231,074 126,814 65,066 32,536 39,284 44,044 60,228 114,492 208,068 347,004 754,740 1,866,060 4,607,316 9,020,844 17,040,100 — unresolved within range

Continued fraction of √n

√117,552 = [342; (1, 6, 14, 6, 1, 684)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand five hundred fifty-two
Ordinal
117552nd
Binary
11100101100110000
Octal
345460
Hexadecimal
0x1CB30
Base64
Acsw
One's complement
4,294,849,743 (32-bit)
Scientific notation
1.17552 × 10⁵
As a duration
117,552 s = 1 day, 8 hours, 39 minutes, 12 seconds
In other bases
ternary (3) 12222020210
quaternary (4) 130230300
quinary (5) 12230202
senary (6) 2304120
septenary (7) 666501
nonary (9) 188223
undecimal (11) 80356
duodecimal (12) 58040
tridecimal (13) 41676
tetradecimal (14) 30ba8
pentadecimal (15) 24c6c

As an angle

117,552° = 326 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριζφνβʹ
Mayan (base 20)
𝋮·𝋭·𝋱·𝋬
Chinese
一十一萬七千五百五十二
Chinese (financial)
壹拾壹萬柒仟伍佰伍拾貳
In other modern scripts
Eastern Arabic ١١٧٥٥٢ Devanagari ११७५५२ Bengali ১১৭৫৫২ Tamil ௧௧௭௫௫௨ Thai ๑๑๗๕๕๒ Tibetan ༡༡༧༥༥༢ Khmer ១១៧៥៥២ Lao ໑໑໗໕໕໒ Burmese ၁၁၇၅၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117552, here are decompositions:

  • 11 + 117541 = 117552
  • 13 + 117539 = 117552
  • 23 + 117529 = 117552
  • 41 + 117511 = 117552
  • 53 + 117499 = 117552
  • 109 + 117443 = 117552
  • 139 + 117413 = 117552
  • 163 + 117389 = 117552

Showing the first eight; more decompositions exist.

Hex color
#01CB30
RGB(1, 203, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.48.

Address
0.1.203.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.203.48

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 117,552 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 117552 first appears in π at position 557,911 of the decimal expansion (the 557,911ordinal-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°.