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118,037

118,037 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.).

118,037 (one hundred eighteen thousand thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1CD15.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
730,811
Square (n²)
13,932,733,369
Cube (n³)
1,644,578,048,676,653
Divisor count
2
σ(n) — sum of divisors
118,038
φ(n) — Euler's totient
118,036

Primality

118,037 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 118037
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 118,037)
1 × 118037
First multiples
118,037 · 236,074 (double) · 354,111 · 472,148 · 590,185 · 708,222 · 826,259 · 944,296 · 1,062,333 · 1,180,370

Sums & aliquot sequence

As a sum of two squares: 146² + 311²
As consecutive integers: 59,018 + 59,019

Continued fraction of √n

√118,037 = [343; (1, 1, 3, 2, 1, 21, 2, 7, 1, 3, 1, 3, 5, 1, 1, 1, 16, 8, 1, 51, 1, 28, 1, 8, …)]

Representations

In words
one hundred eighteen thousand thirty-seven
Ordinal
118037th
Binary
11100110100010101
Octal
346425
Hexadecimal
0x1CD15
Base64
Ac0V
One's complement
4,294,849,258 (32-bit)
Scientific notation
1.18037 × 10⁵
As a duration
118,037 s = 1 day, 8 hours, 47 minutes, 17 seconds
In other bases
ternary (3) 12222220202
quaternary (4) 130310111
quinary (5) 12234122
senary (6) 2310245
septenary (7) 1001063
nonary (9) 188822
undecimal (11) 80757
duodecimal (12) 58385
tridecimal (13) 4195a
tetradecimal (14) 31033
pentadecimal (15) 24e92
Palindromic in base 12

As an angle

118,037° = 327 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριηλζʹ
Mayan (base 20)
𝋮·𝋯·𝋡·𝋱
Chinese
一十一萬八千零三十七
Chinese (financial)
壹拾壹萬捌仟零參拾柒
In other modern scripts
Eastern Arabic ١١٨٠٣٧ Devanagari ११८०३७ Bengali ১১৮০৩৭ Tamil ௧௧௮௦௩௭ Thai ๑๑๘๐๓๗ Tibetan ༡༡༨༠༣༧ Khmer ១១៨០៣៧ Lao ໑໑໘໐໓໗ Burmese ၁၁၈၀၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 118033, sexy with 118043.

Unicode codepoint
𜴕
Block Octant-1345
U+1CD15
Other symbol (So)

UTF-8 encoding: F0 9C B4 95 (4 bytes).

Hex color
#01CD15
RGB(1, 205, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.205.21.

Address
0.1.205.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.205.21

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 118,037 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 118037 first appears in π at position 221,174 of the decimal expansion (the 221,174ordinal-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.