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113,933

113,933 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.).

113,933 (one hundred thirteen thousand nine hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BD0D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
243
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
339,311
Recamán's sequence
a(56,653) = 113,933
Square (n²)
12,980,728,489
Cube (n³)
1,478,933,338,937,237
Divisor count
2
σ(n) — sum of divisors
113,934
φ(n) — Euler's totient
113,932

Primality

113,933 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113933
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,933)
1 × 113933
First multiples
113,933 · 227,866 (double) · 341,799 · 455,732 · 569,665 · 683,598 · 797,531 · 911,464 · 1,025,397 · 1,139,330

Sums & aliquot sequence

As a sum of two squares: 98² + 323²
As consecutive integers: 56,966 + 56,967

Continued fraction of √n

√113,933 = [337; (1, 1, 5, 1, 4, 4, 2, 1, 4, 2, 6, 9, 1, 3, 2, 1, 1, 23, 1, 1, 12, 2, 8, 2, …)]

Representations

In words
one hundred thirteen thousand nine hundred thirty-three
Ordinal
113933rd
Binary
11011110100001101
Octal
336415
Hexadecimal
0x1BD0D
Base64
Ab0N
One's complement
4,294,853,362 (32-bit)
Scientific notation
1.13933 × 10⁵
As a duration
113,933 s = 1 day, 7 hours, 38 minutes, 53 seconds
In other bases
ternary (3) 12210021202
quaternary (4) 123310031
quinary (5) 12121213
senary (6) 2235245
septenary (7) 653111
nonary (9) 183252
undecimal (11) 78666
duodecimal (12) 55b25
tridecimal (13) 3cb21
tetradecimal (14) 2d741
pentadecimal (15) 23b58

As an angle

113,933° = 316 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριγϡλγʹ
Mayan (base 20)
𝋮·𝋤·𝋰·𝋭
Chinese
一十一萬三千九百三十三
Chinese (financial)
壹拾壹萬參仟玖佰參拾參
In other modern scripts
Eastern Arabic ١١٣٩٣٣ Devanagari ११३९३३ Bengali ১১৩৯৩৩ Tamil ௧௧௩௯௩௩ Thai ๑๑๓๙๓๓ Tibetan ༡༡༣༩༣༣ Khmer ១១៣៩៣៣ Lao ໑໑໓໙໓໓ Burmese ၁၁၃၉၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01BD0D
RGB(1, 189, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.13.

Address
0.1.189.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.13

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 113,933 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 113933 first appears in π at position 763,450 of the decimal expansion (the 763,450ordinal-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.