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113,497

113,497 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.).

113,497 (one hundred thirteen thousand four hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BB59.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
756
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
794,311
Recamán's sequence
a(53,753) = 113,497
Square (n²)
12,881,569,009
Cube (n³)
1,462,019,437,814,473
Divisor count
2
σ(n) — sum of divisors
113,498
φ(n) — Euler's totient
113,496

Primality

113,497 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113497
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,497)
1 × 113497
First multiples
113,497 · 226,994 (double) · 340,491 · 453,988 · 567,485 · 680,982 · 794,479 · 907,976 · 1,021,473 · 1,134,970

Sums & aliquot sequence

As a sum of two squares: 219² + 256²
As consecutive integers: 56,748 + 56,749

Continued fraction of √n

√113,497 = [336; (1, 8, 2, 1, 3, 1, 1, 3, 1, 2, 1, 2, 1, 2, 5, 1, 4, 2, 2, 1, 1, 1, 223, 1, …)]

Representations

In words
one hundred thirteen thousand four hundred ninety-seven
Ordinal
113497th
Binary
11011101101011001
Octal
335531
Hexadecimal
0x1BB59
Base64
AbtZ
One's complement
4,294,853,798 (32-bit)
Scientific notation
1.13497 × 10⁵
As a duration
113,497 s = 1 day, 7 hours, 31 minutes, 37 seconds
In other bases
ternary (3) 12202200121
quaternary (4) 123231121
quinary (5) 12112442
senary (6) 2233241
septenary (7) 651616
nonary (9) 182617
undecimal (11) 782aa
duodecimal (12) 55821
tridecimal (13) 3c877
tetradecimal (14) 2d50d
pentadecimal (15) 23967

As an angle

113,497° = 315 × 360° + 97°
97° ≈ 1.693 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγυϟζʹ
Mayan (base 20)
𝋮·𝋣·𝋮·𝋱
Chinese
一十一萬三千四百九十七
Chinese (financial)
壹拾壹萬參仟肆佰玖拾柒
In other modern scripts
Eastern Arabic ١١٣٤٩٧ Devanagari ११३४९७ Bengali ১১৩৪৯৭ Tamil ௧௧௩௪௯௭ Thai ๑๑๓๔๙๗ Tibetan ༡༡༣༤༩༧ Khmer ១១៣៤៩៧ Lao ໑໑໓໔໙໗ Burmese ၁၁၃၄၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 113501.

Hex color
#01BB59
RGB(1, 187, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.89.

Address
0.1.187.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.89

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 113,497 and was likely granted around 1871.

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

Position in π

The digit sequence 113497 first appears in π at position 363,742 of the decimal expansion (the 363,742ordinal-suffix:nd 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.

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.