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113,437

113,437 is a prime, 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.).

113,437 (one hundred thirteen thousand four hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BB1D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Star Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
252
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
734,311
Recamán's sequence
a(53,505) = 113,437
Square (n²)
12,867,952,969
Cube (n³)
1,459,701,980,944,453
Divisor count
2
σ(n) — sum of divisors
113,438
φ(n) — Euler's totient
113,436

Primality

113,437 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113437
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,437)
1 × 113437
First multiples
113,437 · 226,874 (double) · 340,311 · 453,748 · 567,185 · 680,622 · 794,059 · 907,496 · 1,020,933 · 1,134,370

Sums & aliquot sequence

As a sum of two squares: 134² + 309²
As consecutive integers: 56,718 + 56,719

Continued fraction of √n

√113,437 = [336; (1, 4, 9, 1, 1, 3, 1, 1, 31, 1, 1, 16, 1, 3, 4, 6, 1, 2, 2, 3, 1, 2, 7, 23, …)]

Representations

In words
one hundred thirteen thousand four hundred thirty-seven
Ordinal
113437th
Binary
11011101100011101
Octal
335435
Hexadecimal
0x1BB1D
Base64
Absd
One's complement
4,294,853,858 (32-bit)
Scientific notation
1.13437 × 10⁵
As a duration
113,437 s = 1 day, 7 hours, 30 minutes, 37 seconds
In other bases
ternary (3) 12202121101
quaternary (4) 123230131
quinary (5) 12112222
senary (6) 2233101
septenary (7) 651502
nonary (9) 182541
undecimal (11) 78255
duodecimal (12) 55791
tridecimal (13) 3c82c
tetradecimal (14) 2d4a9
pentadecimal (15) 23927

As an angle

113,437° = 315 × 360° + 37°
37° ≈ 0.646 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγυλζʹ
Mayan (base 20)
𝋮·𝋣·𝋫·𝋱
Chinese
一十一萬三千四百三十七
Chinese (financial)
壹拾壹萬參仟肆佰參拾柒
In other modern scripts
Eastern Arabic ١١٣٤٣٧ Devanagari ११३४३७ Bengali ১১৩৪৩৭ Tamil ௧௧௩௪௩௭ Thai ๑๑๓๔๓๗ Tibetan ༡༡༣༤༣༧ Khmer ១១៣៤៣៧ Lao ໑໑໓໔໓໗ Burmese ၁၁၃၄၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01BB1D
RGB(1, 187, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.29.

Address
0.1.187.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.29

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 113,437 and was likely granted around 1871.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.