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113,537

113,537 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.).

113,537 (one hundred thirteen thousand five 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, 0x1BB81.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
315
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
735,311
Recamán's sequence
a(53,833) = 113,537
Square (n²)
12,890,650,369
Cube (n³)
1,463,565,770,945,153
Divisor count
2
σ(n) — sum of divisors
113,538
φ(n) — Euler's totient
113,536

Primality

113,537 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113537
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,537)
1 × 113537
First multiples
113,537 · 227,074 (double) · 340,611 · 454,148 · 567,685 · 681,222 · 794,759 · 908,296 · 1,021,833 · 1,135,370

Sums & aliquot sequence

As a sum of two squares: 161² + 296²
As consecutive integers: 56,768 + 56,769

Continued fraction of √n

√113,537 = [336; (1, 20, 16, 2, 1, 1, 3, 15, 2, 1, 1, 6, 2, 1, 5, 1, 95, 2, 2, 1, 2, 3, 2, 1, …)]

Representations

In words
one hundred thirteen thousand five hundred thirty-seven
Ordinal
113537th
Binary
11011101110000001
Octal
335601
Hexadecimal
0x1BB81
Base64
AbuB
One's complement
4,294,853,758 (32-bit)
Scientific notation
1.13537 × 10⁵
As a duration
113,537 s = 1 day, 7 hours, 32 minutes, 17 seconds
In other bases
ternary (3) 12202202002
quaternary (4) 123232001
quinary (5) 12113122
senary (6) 2233345
septenary (7) 652004
nonary (9) 182662
undecimal (11) 78336
duodecimal (12) 55855
tridecimal (13) 3c8a8
tetradecimal (14) 2d53b
pentadecimal (15) 23992
Palindromic in base 12

As an angle

113,537° = 315 × 360° + 137°
137° ≈ 2.391 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγφλζʹ
Mayan (base 20)
𝋮·𝋣·𝋰·𝋱
Chinese
一十一萬三千五百三十七
Chinese (financial)
壹拾壹萬參仟伍佰參拾柒
In other modern scripts
Eastern Arabic ١١٣٥٣٧ Devanagari ११३५३७ Bengali ১১৩৫৩৭ Tamil ௧௧௩௫௩௭ Thai ๑๑๓๕๓๗ Tibetan ༡༡༣༥༣༧ Khmer ១១៣៥៣៧ Lao ໑໑໓໕໓໗ Burmese ၁၁၃၅၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113539.

Hex color
#01BB81
RGB(1, 187, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.129.

Address
0.1.187.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.129

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 113,537 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.