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113,723

113,723 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.).

113,723 (one hundred thirteen thousand seven hundred twenty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BC3B.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
126
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
327,311
Recamán's sequence
a(56,237) = 113,723
Square (n²)
12,932,920,729
Cube (n³)
1,470,770,544,064,067
Divisor count
2
σ(n) — sum of divisors
113,724
φ(n) — Euler's totient
113,722

Primality

113,723 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113723
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,723)
1 × 113723
First multiples
113,723 · 227,446 (double) · 341,169 · 454,892 · 568,615 · 682,338 · 796,061 · 909,784 · 1,023,507 · 1,137,230

Sums & aliquot sequence

As consecutive integers: 56,861 + 56,862

Continued fraction of √n

√113,723 = [337; (4, 2, 1, 1, 1, 4, 2, 2, 8, 7, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 3, 1, …)]

Representations

In words
one hundred thirteen thousand seven hundred twenty-three
Ordinal
113723rd
Binary
11011110000111011
Octal
336073
Hexadecimal
0x1BC3B
Base64
Abw7
One's complement
4,294,853,572 (32-bit)
Scientific notation
1.13723 × 10⁵
As a duration
113,723 s = 1 day, 7 hours, 35 minutes, 23 seconds
In other bases
ternary (3) 12202222222
quaternary (4) 123300323
quinary (5) 12114343
senary (6) 2234255
septenary (7) 652361
nonary (9) 182888
undecimal (11) 78495
duodecimal (12) 5598b
tridecimal (13) 3c9bc
tetradecimal (14) 2d631
pentadecimal (15) 23a68

As an angle

113,723° = 315 × 360° + 323°
323° ≈ 5.637 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριγψκγʹ
Mayan (base 20)
𝋮·𝋤·𝋦·𝋣
Chinese
一十一萬三千七百二十三
Chinese (financial)
壹拾壹萬參仟柒佰貳拾參
In other modern scripts
Eastern Arabic ١١٣٧٢٣ Devanagari ११३७२३ Bengali ১১৩৭২৩ Tamil ௧௧௩௭௨௩ Thai ๑๑๓๗๒๓ Tibetan ༡༡༣༧༢༣ Khmer ១១៣៧២៣ Lao ໑໑໓໗໒໓ Burmese ၁၁၃၇၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 113719.

Unicode codepoint
𛰻
Duployan Letter S N
U+1BC3B
Other letter (Lo)

UTF-8 encoding: F0 9B B0 BB (4 bytes).

Hex color
#01BC3B
RGB(1, 188, 59)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.59.

Address
0.1.188.59
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.59

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 113,723 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 113723 first appears in π at position 684,694 of the decimal expansion (the 684,694ordinal-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.

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.