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112,952

112,952 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.).

112,952 (one hundred twelve thousand nine hundred fifty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,017. Its proper divisors sum to 129,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B938.

Abundant Number Arithmetic Number Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
180
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
259,211
Square (n²)
12,758,154,304
Cube (n³)
1,441,059,044,945,408
Divisor count
16
σ(n) — sum of divisors
242,160
φ(n) — Euler's totient
48,384
Sum of prime factors
2,030

Primality

Prime factorization: 2 3 × 7 × 2017

Nearest primes: 112,951 (−1) · 112,967 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2017 · 4034 · 8068 · 14119 · 16136 · 28238 · 56476 (half) · 112952
Aliquot sum (sum of proper divisors): 129,208
Factor pairs (a × b = 112,952)
1 × 112952
2 × 56476
4 × 28238
7 × 16136
8 × 14119
14 × 8068
28 × 4034
56 × 2017
First multiples
112,952 · 225,904 (double) · 338,856 · 451,808 · 564,760 · 677,712 · 790,664 · 903,616 · 1,016,568 · 1,129,520

Sums & aliquot sequence

As consecutive integers: 16,133 + 16,134 + … + 16,139 7,052 + 7,053 + … + 7,067 953 + 954 + … + 1,064
Aliquot sequence: 112,952 129,208 121,352 163,768 171,392 199,888 231,074 126,814 65,066 32,536 39,284 44,044 60,228 114,492 208,068 347,004 754,740 — unresolved within range

Continued fraction of √n

√112,952 = [336; (12, 672)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand nine hundred fifty-two
Ordinal
112952nd
Binary
11011100100111000
Octal
334470
Hexadecimal
0x1B938
Base64
Abk4
One's complement
4,294,854,343 (32-bit)
Scientific notation
1.12952 × 10⁵
As a duration
112,952 s = 1 day, 7 hours, 22 minutes, 32 seconds
In other bases
ternary (3) 12201221102
quaternary (4) 123210320
quinary (5) 12103302
senary (6) 2230532
septenary (7) 650210
nonary (9) 181842
undecimal (11) 77954
duodecimal (12) 55448
tridecimal (13) 3c548
tetradecimal (14) 2d240
pentadecimal (15) 23702

As an angle

112,952° = 313 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριβϡνβʹ
Mayan (base 20)
𝋮·𝋢·𝋧·𝋬
Chinese
一十一萬二千九百五十二
Chinese (financial)
壹拾壹萬貳仟玖佰伍拾貳
In other modern scripts
Eastern Arabic ١١٢٩٥٢ Devanagari ११२९५२ Bengali ১১২৯৫২ Tamil ௧௧௨௯௫௨ Thai ๑๑๒๙๕๒ Tibetan ༡༡༢༩༥༢ Khmer ១១២៩៥២ Lao ໑໑໒໙໕໒ Burmese ၁၁၂၉၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112952, here are decompositions:

  • 13 + 112939 = 112952
  • 31 + 112921 = 112952
  • 43 + 112909 = 112952
  • 109 + 112843 = 112952
  • 181 + 112771 = 112952
  • 193 + 112759 = 112952
  • 211 + 112741 = 112952
  • 331 + 112621 = 112952

Showing the first eight; more decompositions exist.

Hex color
#01B938
RGB(1, 185, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.56.

Address
0.1.185.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.56

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 112,952 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 112952 first appears in π at position 257,062 of the decimal expansion (the 257,062ordinal-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.