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137,387

137,387 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.).

137,387 (one hundred thirty-seven thousand three hundred eighty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x218AB.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number 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
783,731
Recamán's sequence
a(37,578) = 137,387
Square (n²)
18,875,187,769
Cube (n³)
2,593,205,422,019,603
Divisor count
2
σ(n) — sum of divisors
137,388
φ(n) — Euler's totient
137,386

Primality

137,387 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137387
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,387)
1 × 137387
First multiples
137,387 · 274,774 (double) · 412,161 · 549,548 · 686,935 · 824,322 · 961,709 · 1,099,096 · 1,236,483 · 1,373,870

Sums & aliquot sequence

As consecutive integers: 68,693 + 68,694

Continued fraction of √n

√137,387 = [370; (1, 1, 1, 11, 2, 17, 1, 1, 1, 1, 27, 1, 10, 10, 15, 1, 2, 15, 1, 3, 2, 4, 3, 1, …)]

Representations

In words
one hundred thirty-seven thousand three hundred eighty-seven
Ordinal
137387th
Binary
100001100010101011
Octal
414253
Hexadecimal
0x218AB
Base64
Ahir
One's complement
4,294,829,908 (32-bit)
Scientific notation
1.37387 × 10⁵
As a duration
137,387 s = 1 day, 14 hours, 9 minutes, 47 seconds
In other bases
ternary (3) 20222110102
quaternary (4) 201202223
quinary (5) 13344022
senary (6) 2540015
septenary (7) 1111355
nonary (9) 228412
undecimal (11) 94248
duodecimal (12) 6760b
tridecimal (13) 4a6c3
tetradecimal (14) 380d5
pentadecimal (15) 2aa92

As an angle

137,387° = 381 × 360° + 227°
227° ≈ 3.962 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτπζʹ
Mayan (base 20)
𝋱·𝋣·𝋩·𝋧
Chinese
一十三萬七千三百八十七
Chinese (financial)
壹拾參萬柒仟參佰捌拾柒
In other modern scripts
Eastern Arabic ١٣٧٣٨٧ Devanagari १३७३८७ Bengali ১৩৭৩৮৭ Tamil ௧௩௭௩௮௭ Thai ๑๓๗๓๘๗ Tibetan ༡༣༧༣༨༧ Khmer ១៣៧៣៨៧ Lao ໑໓໗໓໘໗ Burmese ၁၃၇၃၈၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 137383, sexy with 137393.

Unicode codepoint
𡢫
CJK Unified Ideograph-218Ab
U+218AB
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 AB (4 bytes).

Hex color
#0218AB
RGB(2, 24, 171)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.171.

Address
0.2.24.171
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.171

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 137,387 and was likely granted around 1872.

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.