Live analysis

113,370

113,370 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.).

113,370 (one hundred thirteen thousand three hundred seventy) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 3,779. Its proper divisors sum to 158,790, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BADA.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

113,358 113,359 113,360 113,361 113,362 113,363 113,364 113,365 113,366 113,367 113,368 113,369 113,370 113,371 113,372 113,373 113,374 113,375 113,376 113,377 113,378 113,379 113,380 113,381 113,382

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 73,311
Recamán's sequence: a(64,419) = 113,370
Square (n²): 12,852,756,900
Cube (n³): 1,457,117,049,753,000
Divisor count: 16
σ(n) — sum of divisors: 272,160
φ(n) — Euler's totient: 30,224
Sum of prime factors: 3,789

Primality

Prime factorization: 2 × 3 × 5 × 3779

Nearest primes: 113,363 (−7) · 113,371 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 3779 · 7558 · 11337 · 18895 · 22674 · 37790 · 56685 (half) · 113370

Aliquot sum (sum of proper divisors): 158,790

Factor pairs (a × b = 113,370)

1 × 113370

2 × 56685

3 × 37790

5 × 22674

6 × 18895

10 × 11337

15 × 7558

30 × 3779

First multiples

113,370 · 226,740 (double) · 340,110 · 453,480 · 566,850 · 680,220 · 793,590 · 906,960 · 1,020,330 · 1,133,700

Sums & aliquot sequence

As consecutive integers: 37,789 + 37,790 + 37,791 28,341 + 28,342 + 28,343 + 28,344 22,672 + 22,673 + 22,674 + 22,675 + 22,676 9,442 + 9,443 + … + 9,453

Aliquot sequence: 113,370 → 158,790 → 232,890 → 406,470 → 627,738 → 627,750 → 1,184,346 → 1,517,574 → 1,708,026 → 1,856,838 → 2,059,962 → 2,059,974 → 3,041,226 → 3,773,736 → 6,709,464 → 11,462,196 → 15,282,956 — unresolved within range

Continued fraction of √n

√113,370 = [336; (1, 2, 2, 1, 1, 2, 6, 1, 2, 2, 1, 3, 1, 16, 2, 11, 1, 3, 7, 3, 4, 1, 2, 2, …)]

Representations

In words: one hundred thirteen thousand three hundred seventy
Ordinal: 113370th
Binary: 11011101011011010
Octal: 335332
Hexadecimal: 0x1BADA
Base64: Abra
One's complement: 4,294,853,925 (32-bit)
Scientific notation: 1.1337 × 10⁵
As a duration: 113,370 s = 1 day, 7 hours, 29 minutes, 30 seconds

In other bases

ternary (3) 12202111220

quaternary (4) 123223122

quinary (5) 12111440

senary (6) 2232510

septenary (7) 651345

nonary (9) 182456

undecimal (11) 781a4

duodecimal (12) 55736

tridecimal (13) 3c7aa

tetradecimal (14) 2d45c

pentadecimal (15) 238d0

As an angle

113,370° = 314 × 360° + 330°

330° ≈ 5.76 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριγτοʹ
Mayan (base 20): 𝋮·𝋣·𝋨·𝋪
Chinese: 一十一萬三千三百七十
Chinese (financial): 壹拾壹萬參仟參佰柒拾

In other modern scripts

Eastern Arabic ١١٣٣٧٠ Devanagari ११३३७० Bengali ১১৩৩৭০ Tamil ௧௧௩௩௭௦ Thai ๑๑๓๓๗๐ Tibetan ༡༡༣༣༧༠ Khmer ១១៣៣៧០ Lao ໑໑໓໓໗໐ Burmese ၁၁၃၃၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113370, here are decompositions:

7 + 113363 = 113370
11 + 113359 = 113370
13 + 113357 = 113370
29 + 113341 = 113370
41 + 113329 = 113370
43 + 113327 = 113370
83 + 113287 = 113370
137 + 113233 = 113370

Showing the first eight; more decompositions exist.

Hex color

#01BADA

RGB(1, 186, 218)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.218.

Address: 0.1.186.218
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.186.218

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 113,370 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 US113,370 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 113370 first appears in π at position 323,671 of the decimal expansion (the 323,671ordinal-suffix:st 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 113370 on Pi Search ↗