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113,567

113,567 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.).

113,567 (one hundred thirteen thousand five hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BB9F.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
630
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
765,311
Recamán's sequence
a(53,893) = 113,567
Square (n²)
12,897,463,489
Cube (n³)
1,464,726,236,055,263
Divisor count
2
σ(n) — sum of divisors
113,568
φ(n) — Euler's totient
113,566

Primality

113,567 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113567
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,567)
1 × 113567
First multiples
113,567 · 227,134 (double) · 340,701 · 454,268 · 567,835 · 681,402 · 794,969 · 908,536 · 1,022,103 · 1,135,670

Sums & aliquot sequence

As consecutive integers: 56,783 + 56,784

Continued fraction of √n

√113,567 = [336; (1, 335, 1, 672)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand five hundred sixty-seven
Ordinal
113567th
Binary
11011101110011111
Octal
335637
Hexadecimal
0x1BB9F
Base64
Abuf
One's complement
4,294,853,728 (32-bit)
Scientific notation
1.13567 × 10⁵
As a duration
113,567 s = 1 day, 7 hours, 32 minutes, 47 seconds
In other bases
ternary (3) 12202210012
quaternary (4) 123232133
quinary (5) 12113232
senary (6) 2233435
septenary (7) 652046
nonary (9) 182705
undecimal (11) 78363
duodecimal (12) 5587b
tridecimal (13) 3c8cc
tetradecimal (14) 2d55d
pentadecimal (15) 239b2

As an angle

113,567° = 315 × 360° + 167°
167° ≈ 2.915 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγφξζʹ
Mayan (base 20)
𝋮·𝋣·𝋲·𝋧
Chinese
一十一萬三千五百六十七
Chinese (financial)
壹拾壹萬參仟伍佰陸拾柒
In other modern scripts
Eastern Arabic ١١٣٥٦٧ Devanagari ११३५६७ Bengali ১১৩৫৬৭ Tamil ௧௧௩௫௬௭ Thai ๑๑๓๕๖๗ Tibetan ༡༡༣༥༦༧ Khmer ១១៣៥៦៧ Lao ໑໑໓໕໖໗ Burmese ၁၁၃၅၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01BB9F
RGB(1, 187, 159)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.159.

Address
0.1.187.159
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.159

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 113,567 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 113567 first appears in π at position 957,970 of the decimal expansion (the 957,970ordinal-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.