Live analysis

113,372

113,372 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.).

113,372 (one hundred thirteen thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,049. Its proper divisors sum to 113,428, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BADC.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

113,360 113,361 113,362 113,363 113,364 113,365 113,366 113,367 113,368 113,369 113,370 113,371 113,372 113,373 113,374 113,375 113,376 113,377 113,378 113,379 113,380 113,381 113,382 113,383 113,384

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 126
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 273,311
Recamán's sequence: a(55,531) = 113,372
Square (n²): 12,853,210,384
Cube (n³): 1,457,194,167,654,848
Divisor count: 12
σ(n) — sum of divisors: 226,800
φ(n) — Euler's totient: 48,576
Sum of prime factors: 4,060

Primality

Prime factorization: 2 ² × 7 × 4049

Nearest primes: 113,371 (−1) · 113,381 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 4049 · 8098 · 16196 · 28343 · 56686 (half) · 113372

Aliquot sum (sum of proper divisors): 113,428

Factor pairs (a × b = 113,372)

1 × 113372

2 × 56686

4 × 28343

7 × 16196

14 × 8098

28 × 4049

First multiples

113,372 · 226,744 (double) · 340,116 · 453,488 · 566,860 · 680,232 · 793,604 · 906,976 · 1,020,348 · 1,133,720

Sums & aliquot sequence

As consecutive integers: 16,193 + 16,194 + … + 16,199 14,168 + 14,169 + … + 14,175 1,997 + 1,998 + … + 2,052

Aliquot sequence: 113,372 → 113,428 → 113,484 → 196,140 → 432,852 → 721,644 → 1,423,380 → 3,132,780 → 6,893,460 → 17,008,236 → 32,127,396 → 55,869,660 → 164,277,540 → 405,222,300 → 1,060,433,892 → 2,091,223,708 → 2,112,905,284 — unresolved within range

Continued fraction of √n

√113,372 = [336; (1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 3, 2, 1, 2, 1, 3, 1, 3, 1, 3, 5, 5, …)]

Representations

In words: one hundred thirteen thousand three hundred seventy-two
Ordinal: 113372nd
Binary: 11011101011011100
Octal: 335334
Hexadecimal: 0x1BADC
Base64: Abrc
One's complement: 4,294,853,923 (32-bit)
Scientific notation: 1.13372 × 10⁵
As a duration: 113,372 s = 1 day, 7 hours, 29 minutes, 32 seconds

In other bases

ternary (3) 12202111222

quaternary (4) 123223130

quinary (5) 12111442

senary (6) 2232512

septenary (7) 651350

nonary (9) 182458

undecimal (11) 781a6

duodecimal (12) 55738

tridecimal (13) 3c7ac

tetradecimal (14) 2d460

pentadecimal (15) 238d2

As an angle

113,372° = 314 × 360° + 332°

332° ≈ 5.794 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ριγτοβʹ
Mayan (base 20): 𝋮·𝋣·𝋨·𝋬
Chinese: 一十一萬三千三百七十二
Chinese (financial): 壹拾壹萬參仟參佰柒拾貳

In other modern scripts

Eastern Arabic ١١٣٣٧٢ Devanagari ११३३७२ Bengali ১১৩৩৭২ Tamil ௧௧௩௩௭௨ Thai ๑๑๓๓๗๒ Tibetan ༡༡༣༣༧༢ Khmer ១១៣៣៧២ Lao ໑໑໓໓໗໒ Burmese ၁၁၃၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113372, here are decompositions:

13 + 113359 = 113372
31 + 113341 = 113372
43 + 113329 = 113372
139 + 113233 = 113372
163 + 113209 = 113372
199 + 113173 = 113372
211 + 113161 = 113372
223 + 113149 = 113372

Showing the first eight; more decompositions exist.

Hex color

#01BADC

RGB(1, 186, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.220.

Address: 0.1.186.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.186.220

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 113,372 and was likely granted around 1871.

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

Look up US113,372 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 113372 first appears in π at position 735,256 of the decimal expansion (the 735,256ordinal-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.

Look up 113372 on Pi Search ↗