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137,873

137,873 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.).

137,873 (one hundred thirty-seven thousand eight hundred seventy-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21A91.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,528
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
378,731
Recamán's sequence
a(493,081) = 137,873
Square (n²)
19,008,964,129
Cube (n³)
2,620,822,911,357,617
Divisor count
2
σ(n) — sum of divisors
137,874
φ(n) — Euler's totient
137,872

Primality

137,873 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137873
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,873)
1 × 137873
First multiples
137,873 · 275,746 (double) · 413,619 · 551,492 · 689,365 · 827,238 · 965,111 · 1,102,984 · 1,240,857 · 1,378,730

Sums & aliquot sequence

As a sum of two squares: 257² + 268²
As consecutive integers: 68,936 + 68,937

Continued fraction of √n

√137,873 = [371; (3, 5, 105, 1, 9, 5, 2, 14, 1, 2, 2, 1, 38, 2, 1, 1, 2, 22, 1, 4, 1, 1, 1, 2, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred seventy-three
Ordinal
137873rd
Binary
100001101010010001
Octal
415221
Hexadecimal
0x21A91
Base64
AhqR
One's complement
4,294,829,422 (32-bit)
Scientific notation
1.37873 × 10⁵
As a duration
137,873 s = 1 day, 14 hours, 17 minutes, 53 seconds
In other bases
ternary (3) 21000010102
quaternary (4) 201222101
quinary (5) 13402443
senary (6) 2542145
septenary (7) 1112651
nonary (9) 230112
undecimal (11) 9464a
duodecimal (12) 67955
tridecimal (13) 4a9a8
tetradecimal (14) 38361
pentadecimal (15) 2acb8

As an angle

137,873° = 382 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωογʹ
Mayan (base 20)
𝋱·𝋤·𝋭·𝋭
Chinese
一十三萬七千八百七十三
Chinese (financial)
壹拾參萬柒仟捌佰柒拾參
In other modern scripts
Eastern Arabic ١٣٧٨٧٣ Devanagari १३७८७३ Bengali ১৩৭৮৭৩ Tamil ௧௩௭௮௭௩ Thai ๑๓๗๘๗๓ Tibetan ༡༣༧༨༧༣ Khmer ១៣៧៨៧៣ Lao ໑໓໗໘໗໓ Burmese ၁၃၇၈၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 137869.

Unicode codepoint
𡪑
CJK Unified Ideograph-21A91
U+21A91
Other letter (Lo)

UTF-8 encoding: F0 A1 AA 91 (4 bytes).

Hex color
#021A91
RGB(2, 26, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.145.

Address
0.2.26.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.145

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 137,873 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 137873 first appears in π at position 231,140 of the decimal expansion (the 231,140ordinal-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.