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137,991

137,991 is a composite number, 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.).

137,991 (one hundred thirty-seven thousand nine hundred ninety-one) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 3 × 7 × 6,571. Written other ways, in hexadecimal, 0x21B07.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
30
Digit product
1,701
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
199,731
Recamán's sequence
a(492,845) = 137,991
Square (n²)
19,041,516,081
Cube (n³)
2,627,557,845,533,271
Divisor count
8
σ(n) — sum of divisors
210,304
φ(n) — Euler's totient
78,840
Sum of prime factors
6,581

Primality

Prime factorization: 3 × 7 × 6571

Nearest primes: 137,983 (−8) · 137,993 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 7 · 21 · 6571 · 19713 · 45997 · 137991
Aliquot sum (sum of proper divisors): 72,313
Factor pairs (a × b = 137,991)
1 × 137991
3 × 45997
7 × 19713
21 × 6571
First multiples
137,991 · 275,982 (double) · 413,973 · 551,964 · 689,955 · 827,946 · 965,937 · 1,103,928 · 1,241,919 · 1,379,910

Sums & aliquot sequence

As consecutive integers: 68,995 + 68,996 45,996 + 45,997 + 45,998 22,996 + 22,997 + 22,998 + 22,999 + 23,000 + 23,001 19,710 + 19,711 + … + 19,716
Aliquot sequence: 137,991 72,313 1 0 — terminates at zero

Continued fraction of √n

√137,991 = [371; (2, 8, 4, 6, 1, 1, 2, 1, 11, 3, 1, 3, 4, 5, 2, 12, 2, 1, 4, 1, 246, 1, 4, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand nine hundred ninety-one
Ordinal
137991st
Binary
100001101100000111
Octal
415407
Hexadecimal
0x21B07
Base64
AhsH
One's complement
4,294,829,304 (32-bit)
Scientific notation
1.37991 × 10⁵
As a duration
137,991 s = 1 day, 14 hours, 19 minutes, 51 seconds
In other bases
ternary (3) 21000021210
quaternary (4) 201230013
quinary (5) 13403431
senary (6) 2542503
septenary (7) 1113210
nonary (9) 230253
undecimal (11) 94747
duodecimal (12) 67a33
tridecimal (13) 4aa69
tetradecimal (14) 38407
pentadecimal (15) 2ad46

As an angle

137,991° = 383 × 360° + 111°
111° ≈ 1.937 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλζϡϟαʹ
Mayan (base 20)
𝋱·𝋤·𝋳·𝋫
Chinese
一十三萬七千九百九十一
Chinese (financial)
壹拾參萬柒仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ١٣٧٩٩١ Devanagari १३७९९१ Bengali ১৩৭৯৯১ Tamil ௧௩௭௯௯௧ Thai ๑๓๗๙๙๑ Tibetan ༡༣༧༩༩༡ Khmer ១៣៧៩៩១ Lao ໑໓໗໙໙໑ Burmese ၁၃၇၉၉၁

Also seen as

Unicode codepoint
𡬇
CJK Unified Ideograph-21B07
U+21B07
Other letter (Lo)

UTF-8 encoding: F0 A1 AC 87 (4 bytes).

Hex color
#021B07
RGB(2, 27, 7)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.7.

Address
0.2.27.7
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.7

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 137,991 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 137991 first appears in π at position 121,509 of the decimal expansion (the 121,509ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.