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137,087

137,087 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.).

137,087 (one hundred thirty-seven thousand eighty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2177F.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Safe Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
780,731
Square (n²)
18,792,845,569
Cube (n³)
2,576,254,820,517,503
Divisor count
2
σ(n) — sum of divisors
137,088
φ(n) — Euler's totient
137,086

Primality

137,087 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137087
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,087)
1 × 137087
First multiples
137,087 · 274,174 (double) · 411,261 · 548,348 · 685,435 · 822,522 · 959,609 · 1,096,696 · 1,233,783 · 1,370,870

Sums & aliquot sequence

As consecutive integers: 68,543 + 68,544

Continued fraction of √n

√137,087 = [370; (3, 1, 23, 7, 3, 2, 4, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 67, 43, 1, 1, 5, 6, …)]

Representations

In words
one hundred thirty-seven thousand eighty-seven
Ordinal
137087th
Binary
100001011101111111
Octal
413577
Hexadecimal
0x2177F
Base64
Ahd/
One's complement
4,294,830,208 (32-bit)
Scientific notation
1.37087 × 10⁵
As a duration
137,087 s = 1 day, 14 hours, 4 minutes, 47 seconds
In other bases
ternary (3) 20222001022
quaternary (4) 201131333
quinary (5) 13341322
senary (6) 2534355
septenary (7) 1110446
nonary (9) 228038
undecimal (11) 93aa5
duodecimal (12) 673bb
tridecimal (13) 4a522
tetradecimal (14) 37d5d
pentadecimal (15) 2a942

As an angle

137,087° = 380 × 360° + 287°
287° ≈ 5.009 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζπζʹ
Mayan (base 20)
𝋱·𝋢·𝋮·𝋧
Chinese
一十三萬七千零八十七
Chinese (financial)
壹拾參萬柒仟零捌拾柒
In other modern scripts
Eastern Arabic ١٣٧٠٨٧ Devanagari १३७०८७ Bengali ১৩৭০৮৭ Tamil ௧௩௭௦௮௭ Thai ๑๓๗๐๘๗ Tibetan ༡༣༧༠༨༧ Khmer ១៣៧០៨៧ Lao ໑໓໗໐໘໗ Burmese ၁၃၇၀၈၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 137089.

Unicode codepoint
𡝿
CJK Unified Ideograph-2177F
U+2177F
Other letter (Lo)

UTF-8 encoding: F0 A1 9D BF (4 bytes).

Hex color
#02177F
RGB(2, 23, 127)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.127.

Address
0.2.23.127
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.127

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 137,087 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 137087 first appears in π at position 68,634 of the decimal expansion (the 68,634ordinal-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.