Live analysis

113,376

113,376 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.).

113,376 (one hundred thirteen thousand three hundred seventy-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 1,181. Its proper divisors sum to 184,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BAE0.

Abundant Number Arithmetic Number Gapful Number Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

113,364 113,365 113,366 113,367 113,368 113,369 113,370 113,371 113,372 113,373 113,374 113,375 113,376 113,377 113,378 113,379 113,380 113,381 113,382 113,383 113,384 113,385 113,386 113,387 113,388

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 378
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 673,311
Recamán's sequence: a(55,543) = 113,376
Square (n²): 12,854,117,376
Cube (n³): 1,457,348,411,621,376
Divisor count: 24
σ(n) — sum of divisors: 297,864
φ(n) — Euler's totient: 37,760
Sum of prime factors: 1,194

Primality

Prime factorization: 2 ⁵ × 3 × 1181

Nearest primes: 113,371 (−5) · 113,381 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 1181 · 2362 · 3543 · 4724 · 7086 · 9448 · 14172 · 18896 · 28344 · 37792 · 56688 (half) · 113376

Aliquot sum (sum of proper divisors): 184,488

Factor pairs (a × b = 113,376)

1 × 113376

2 × 56688

3 × 37792

4 × 28344

6 × 18896

8 × 14172

12 × 9448

16 × 7086

24 × 4724

32 × 3543

48 × 2362

96 × 1181

First multiples

113,376 · 226,752 (double) · 340,128 · 453,504 · 566,880 · 680,256 · 793,632 · 907,008 · 1,020,384 · 1,133,760

Sums & aliquot sequence

As consecutive integers: 37,791 + 37,792 + 37,793 1,740 + 1,741 + … + 1,803 495 + 496 + … + 686

Aliquot sequence: 113,376 → 184,488 → 276,792 → 452,808 → 841,992 → 1,263,048 → 1,894,632 → 2,900,568 → 5,010,792 → 7,577,688 → 11,637,672 → 17,762,328 → 32,131,152 → 57,791,850 → 85,532,310 → 144,527,130 → 265,407,174 — unresolved within range

Continued fraction of √n

√113,376 = [336; (1, 2, 2, 26, 1, 1, 28, 1, 3, 2, 1, 5, 1, 2, 1, 1, 2, 2, 3, 6, 8, 3, 1, 6, …)]

Representations

In words: one hundred thirteen thousand three hundred seventy-six
Ordinal: 113376th
Binary: 11011101011100000
Octal: 335340
Hexadecimal: 0x1BAE0
Base64: Abrg
One's complement: 4,294,853,919 (32-bit)
Scientific notation: 1.13376 × 10⁵
As a duration: 113,376 s = 1 day, 7 hours, 29 minutes, 36 seconds

In other bases

ternary (3) 12202112010

quaternary (4) 123223200

quinary (5) 12112001

senary (6) 2232520

septenary (7) 651354

nonary (9) 182463

undecimal (11) 781aa

duodecimal (12) 55740

tridecimal (13) 3c7b3

tetradecimal (14) 2d464

pentadecimal (15) 238d6

As an angle

113,376° = 314 × 360° + 336°

336° ≈ 5.864 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριγτοϛʹ
Mayan (base 20): 𝋮·𝋣·𝋨·𝋰
Chinese: 一十一萬三千三百七十六
Chinese (financial): 壹拾壹萬參仟參佰柒拾陸

In other modern scripts

Eastern Arabic ١١٣٣٧٦ Devanagari ११३३७६ Bengali ১১৩৩৭৬ Tamil ௧௧௩௩௭௬ Thai ๑๑๓๓๗๖ Tibetan ༡༡༣༣༧༦ Khmer ១១៣៣៧៦ Lao ໑໑໓໓໗໖ Burmese ၁၁၃၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113376, here are decompositions:

5 + 113371 = 113376
13 + 113363 = 113376
17 + 113359 = 113376
19 + 113357 = 113376
47 + 113329 = 113376
89 + 113287 = 113376
97 + 113279 = 113376
149 + 113227 = 113376

Showing the first eight; more decompositions exist.

Hex color

#01BAE0

RGB(1, 186, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.224.

Address: 0.1.186.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.186.224

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 113,376 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 US113,376 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 113376 first appears in π at position 645,509 of the decimal expansion (the 645,509ordinal-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 113376 on Pi Search ↗