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137,999

137,999 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.).

137,999 (one hundred thirty-seven thousand nine hundred ninety-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21B0F.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
38
Digit product
15,309
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
999,731
Recamán's sequence
a(492,829) = 137,999
Square (n²)
19,043,724,001
Cube (n³)
2,628,014,868,413,999
Divisor count
2
σ(n) — sum of divisors
138,000
φ(n) — Euler's totient
137,998

Primality

137,999 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137999
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,999)
1 × 137999
First multiples
137,999 · 275,998 (double) · 413,997 · 551,996 · 689,995 · 827,994 · 965,993 · 1,103,992 · 1,241,991 · 1,379,990

Sums & aliquot sequence

As consecutive integers: 68,999 + 69,000

Continued fraction of √n

√137,999 = [371; (2, 13, 1, 1, 12, 1, 105, 4, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 2, 14, 1, 2, 1, 10, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred ninety-nine
Ordinal
137999th
Binary
100001101100001111
Octal
415417
Hexadecimal
0x21B0F
Base64
AhsP
One's complement
4,294,829,296 (32-bit)
Scientific notation
1.37999 × 10⁵
As a duration
137,999 s = 1 day, 14 hours, 19 minutes, 59 seconds
In other bases
ternary (3) 21000022002
quaternary (4) 201230033
quinary (5) 13403444
senary (6) 2542515
septenary (7) 1113221
nonary (9) 230262
undecimal (11) 94754
duodecimal (12) 67a3b
tridecimal (13) 4aa74
tetradecimal (14) 38411
pentadecimal (15) 2ad4e

As an angle

137,999° = 383 × 360° + 119°
119° ≈ 2.077 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡϟθʹ
Mayan (base 20)
𝋱·𝋤·𝋳·𝋳
Chinese
一十三萬七千九百九十九
Chinese (financial)
壹拾參萬柒仟玖佰玖拾玖
In other modern scripts
Eastern Arabic ١٣٧٩٩٩ Devanagari १३७९९९ Bengali ১৩৭৯৯৯ Tamil ௧௩௭௯௯௯ Thai ๑๓๗๙๙๙ Tibetan ༡༣༧༩༩༩ Khmer ១៣៧៩៩៩ Lao ໑໓໗໙໙໙ Burmese ၁၃၇၉၉၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137993.

Unicode codepoint
𡬏
CJK Unified Ideograph-21B0F
U+21B0F
Other letter (Lo)

UTF-8 encoding: F0 A1 AC 8F (4 bytes).

Hex color
#021B0F
RGB(2, 27, 15)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.15.

Address
0.2.27.15
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.15

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 137,999 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.