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113,777

113,777 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.).

113,777 (one hundred thirteen thousand seven hundred seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BC71.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,029
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
777,311
Recamán's sequence
a(56,345) = 113,777
Square (n²)
12,945,205,729
Cube (n³)
1,472,866,672,228,433
Divisor count
2
σ(n) — sum of divisors
113,778
φ(n) — Euler's totient
113,776

Primality

113,777 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113777
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,777)
1 × 113777
First multiples
113,777 · 227,554 (double) · 341,331 · 455,108 · 568,885 · 682,662 · 796,439 · 910,216 · 1,023,993 · 1,137,770

Sums & aliquot sequence

As a sum of two squares: 236² + 241²
As consecutive integers: 56,888 + 56,889

Continued fraction of √n

√113,777 = [337; (3, 4, 7, 2, 3, 2, 1, 2, 1, 3, 1, 83, 1, 1, 5, 1, 60, 2, 13, 1, 6, 42, 51, 1, …)]

Representations

In words
one hundred thirteen thousand seven hundred seventy-seven
Ordinal
113777th
Binary
11011110001110001
Octal
336161
Hexadecimal
0x1BC71
Base64
Abxx
One's complement
4,294,853,518 (32-bit)
Scientific notation
1.13777 × 10⁵
As a duration
113,777 s = 1 day, 7 hours, 36 minutes, 17 seconds
In other bases
ternary (3) 12210001222
quaternary (4) 123301301
quinary (5) 12120102
senary (6) 2234425
septenary (7) 652466
nonary (9) 183058
undecimal (11) 78534
duodecimal (12) 55a15
tridecimal (13) 3ca31
tetradecimal (14) 2d66d
pentadecimal (15) 23aa2

As an angle

113,777° = 316 × 360° + 17°
17° ≈ 0.297 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγψοζʹ
Mayan (base 20)
𝋮·𝋤·𝋨·𝋱
Chinese
一十一萬三千七百七十七
Chinese (financial)
壹拾壹萬參仟柒佰柒拾柒
In other modern scripts
Eastern Arabic ١١٣٧٧٧ Devanagari ११३७७७ Bengali ১১৩৭৭৭ Tamil ௧௧௩௭௭௭ Thai ๑๑๓๗๗๗ Tibetan ༡༡༣༧༧༧ Khmer ១១៣៧៧៧ Lao ໑໑໓໗໗໗ Burmese ၁၁၃၇၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113779.

Unicode codepoint
𛱱
Duployan Affix Mid Horizontal Secant
U+1BC71
Other letter (Lo)

UTF-8 encoding: F0 9B B1 B1 (4 bytes).

Hex color
#01BC71
RGB(1, 188, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.113.

Address
0.1.188.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.113

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 113,777 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.