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115,712

115,712 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.).

115,712 (one hundred fifteen thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 22 divisors, and factors as 2¹⁰ × 113. Its proper divisors sum to 117,646, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C400.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
70
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
217,511
Recamán's sequence
a(72,831) = 115,712
Square (n²)
13,389,266,944
Cube (n³)
1,549,298,856,624,128
Divisor count
22
σ(n) — sum of divisors
233,358
φ(n) — Euler's totient
57,344
Sum of prime factors
133

Primality

Prime factorization: 2 10 × 113

Nearest primes: 115,693 (−19) · 115,727 (+15)

Divisors & multiples

All divisors (22)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 113 · 128 · 226 · 256 · 452 · 512 · 904 · 1024 · 1808 · 3616 · 7232 · 14464 · 28928 · 57856 (half) · 115712
Aliquot sum (sum of proper divisors): 117,646
Factor pairs (a × b = 115,712)
1 × 115712
2 × 57856
4 × 28928
8 × 14464
16 × 7232
32 × 3616
64 × 1808
113 × 1024
128 × 904
226 × 512
256 × 452
First multiples
115,712 · 231,424 (double) · 347,136 · 462,848 · 578,560 · 694,272 · 809,984 · 925,696 · 1,041,408 · 1,157,120

Sums & aliquot sequence

As a sum of two squares: 224² + 256²
As consecutive integers: 968 + 969 + … + 1,080
Aliquot sequence: 115,712 117,646 61,994 32,086 17,018 9,094 4,550 5,866 4,214 3,310 2,666 1,558 962 634 320 442 314 — unresolved within range

Continued fraction of √n

√115,712 = [340; (6, 13, 1, 2, 1, 1, 5, 1, 1, 169, 1, 1, 5, 1, 1, 2, 1, 13, 6, 680)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred fifteen thousand seven hundred twelve
Ordinal
115712th
Binary
11100010000000000
Octal
342000
Hexadecimal
0x1C400
Base64
AcQA
One's complement
4,294,851,583 (32-bit)
Scientific notation
1.15712 × 10⁵
As a duration
115,712 s = 1 day, 8 hours, 8 minutes, 32 seconds
In other bases
ternary (3) 12212201122
quaternary (4) 130100000
quinary (5) 12200322
senary (6) 2251412
septenary (7) 661232
nonary (9) 185648
undecimal (11) 79a33
duodecimal (12) 56b68
tridecimal (13) 4088c
tetradecimal (14) 30252
pentadecimal (15) 24442
Palindromic in base 15

As an angle

115,712° = 321 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ριεψιβʹ
Mayan (base 20)
𝋮·𝋩·𝋥·𝋬
Chinese
一十一萬五千七百一十二
Chinese (financial)
壹拾壹萬伍仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ١١٥٧١٢ Devanagari ११५७१२ Bengali ১১৫৭১২ Tamil ௧௧௫௭௧௨ Thai ๑๑๕๗๑๒ Tibetan ༡༡༥༧༡༢ Khmer ១១៥៧១២ Lao ໑໑໕໗໑໒ Burmese ၁၁၅၇၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115712, here are decompositions:

  • 19 + 115693 = 115712
  • 109 + 115603 = 115712
  • 151 + 115561 = 115712
  • 199 + 115513 = 115712
  • 241 + 115471 = 115712
  • 283 + 115429 = 115712
  • 313 + 115399 = 115712
  • 349 + 115363 = 115712

Showing the first eight; more decompositions exist.

Hex color
#01C400
RGB(1, 196, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.196.0.

Address
0.1.196.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.196.0

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 115,712 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 115712 first appears in π at position 538,322 of the decimal expansion (the 538,322ordinal-suffix:nd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.