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137,911

137,911 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.).

137,911 (one hundred thirty-seven thousand nine hundred eleven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21AB7.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
189
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
119,731
Recamán's sequence
a(493,005) = 137,911
Square (n²)
19,019,443,921
Cube (n³)
2,622,990,530,589,031
Divisor count
2
σ(n) — sum of divisors
137,912
φ(n) — Euler's totient
137,910

Primality

137,911 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137911
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,911)
1 × 137911
First multiples
137,911 · 275,822 (double) · 413,733 · 551,644 · 689,555 · 827,466 · 965,377 · 1,103,288 · 1,241,199 · 1,379,110

Sums & aliquot sequence

As consecutive integers: 68,955 + 68,956

Continued fraction of √n

√137,911 = [371; (2, 1, 2, 1, 123, 16, 2, 82, 24, 1, 2, 1, 13, 148, 2, 8, 1, 2, 24, 2, 2, 2, 1, 8, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred eleven
Ordinal
137911th
Binary
100001101010110111
Octal
415267
Hexadecimal
0x21AB7
Base64
Ahq3
One's complement
4,294,829,384 (32-bit)
Scientific notation
1.37911 × 10⁵
As a duration
137,911 s = 1 day, 14 hours, 18 minutes, 31 seconds
In other bases
ternary (3) 21000011211
quaternary (4) 201222313
quinary (5) 13403121
senary (6) 2542251
septenary (7) 1113034
nonary (9) 230154
undecimal (11) 94684
duodecimal (12) 67987
tridecimal (13) 4aa07
tetradecimal (14) 3838b
pentadecimal (15) 2ace1

As an angle

137,911° = 383 × 360° + 31°
31° ≈ 0.541 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺
Greek (Milesian)
͵ρλζϡιαʹ
Mayan (base 20)
𝋱·𝋤·𝋯·𝋫
Chinese
一十三萬七千九百一十一
Chinese (financial)
壹拾參萬柒仟玖佰壹拾壹
In other modern scripts
Eastern Arabic ١٣٧٩١١ Devanagari १३७९११ Bengali ১৩৭৯১১ Tamil ௧௩௭௯௧௧ Thai ๑๓๗๙๑๑ Tibetan ༡༣༧༩༡༡ Khmer ១៣៧៩១១ Lao ໑໓໗໙໑໑ Burmese ၁၃၇၉၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 137909.

Unicode codepoint
𡪷
CJK Unified Ideograph-21Ab7
U+21AB7
Other letter (Lo)

UTF-8 encoding: F0 A1 AA B7 (4 bytes).

Hex color
#021AB7
RGB(2, 26, 183)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.183.

Address
0.2.26.183
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.183

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 137,911 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.