Live analysis

113,337

113,337 is a composite number, odd.

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.).

113,337 (one hundred thirteen thousand three hundred thirty-seven) is an odd 6-digit number. It is a composite number with 18 divisors, and factors as 3² × 7² × 257. Written other ways, in hexadecimal, 0x1BAB9.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

113,325 113,326 113,327 113,328 113,329 113,330 113,331 113,332 113,333 113,334 113,335 113,336 113,337 113,338 113,339 113,340 113,341 113,342 113,343 113,344 113,345 113,346 113,347 113,348 113,349

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 18
Digit product: 189
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 733,311
Recamán's sequence: a(245,902) = 113,337
Square (n²): 12,845,275,569
Cube (n³): 1,455,844,997,163,753
Divisor count: 18
σ(n) — sum of divisors: 191,178
φ(n) — Euler's totient: 64,512
Sum of prime factors: 277

Primality

Prime factorization: 3 ² × 7 ² × 257

Nearest primes: 113,329 (−8) · 113,341 (+4)

Divisors & multiples

All divisors (18)

1 · 3 · 7 · 9 · 21 · 49 · 63 · 147 · 257 · 441 · 771 · 1799 · 2313 · 5397 · 12593 · 16191 · 37779 · 113337

Aliquot sum (sum of proper divisors): 77,841

Factor pairs (a × b = 113,337)

1 × 113337

3 × 37779

7 × 16191

9 × 12593

21 × 5397

49 × 2313

63 × 1799

147 × 771

257 × 441

First multiples

113,337 · 226,674 (double) · 340,011 · 453,348 · 566,685 · 680,022 · 793,359 · 906,696 · 1,020,033 · 1,133,370

Sums & aliquot sequence

As a sum of two squares: 21² + 336²

As consecutive integers: 56,668 + 56,669 37,778 + 37,779 + 37,780 18,887 + 18,888 + 18,889 + 18,890 + 18,891 + 18,892 16,188 + 16,189 + … + 16,194

Aliquot sequence: 113,337 → 77,841 → 42,312 → 68,568 → 102,912 → 175,344 → 314,208 → 580,140 → 1,346,148 → 2,118,040 → 2,647,640 → 3,309,640 → 4,222,640 → 5,595,184 → 6,794,400 → 16,641,600 → 37,972,464 — unresolved within range

Continued fraction of √n

√113,337 = [336; (1, 1, 1, 9, 2, 1, 1, 1, 1, 2, 1, 6, 1, 12, 1, 6, 1, 2, 1, 1, 1, 1, 2, 9, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand three hundred thirty-seven
Ordinal: 113337th
Binary: 11011101010111001
Octal: 335271
Hexadecimal: 0x1BAB9
Base64: Abq5
One's complement: 4,294,853,958 (32-bit)
Scientific notation: 1.13337 × 10⁵
As a duration: 113,337 s = 1 day, 7 hours, 28 minutes, 57 seconds

In other bases

ternary (3) 12202110200

quaternary (4) 123222321

quinary (5) 12111322

senary (6) 2232413

septenary (7) 651300

nonary (9) 182420

undecimal (11) 78174

duodecimal (12) 55709

tridecimal (13) 3c783

tetradecimal (14) 2d437

pentadecimal (15) 238ac

Palindromic in base 4

As an angle

113,337° = 314 × 360° + 297°

297° ≈ 5.184 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριγτλζʹ
Mayan (base 20): 𝋮·𝋣·𝋦·𝋱
Chinese: 一十一萬三千三百三十七
Chinese (financial): 壹拾壹萬參仟參佰參拾柒

In other modern scripts

Eastern Arabic ١١٣٣٣٧ Devanagari ११३३३७ Bengali ১১৩৩৩৭ Tamil ௧௧௩௩௩௭ Thai ๑๑๓๓๓๗ Tibetan ༡༡༣༣༣༧ Khmer ១១៣៣៣៧ Lao ໑໑໓໓໓໗ Burmese ၁၁၃၃၃၇

Also seen as

Hex color

#01BAB9

RGB(1, 186, 185)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.185.

Address: 0.1.186.185
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.186.185

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 113,337 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 US113,337 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 113337 first appears in π at position 164,468 of the decimal expansion (the 164,468ordinal-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 113337 on Pi Search ↗