number.wiki
Live analysis

137,837

137,837 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.).

137,837 (one hundred thirty-seven thousand eight hundred thirty-seven) is an odd 6-digit number. It is a composite number with 12 divisors, and factors as 7² × 29 × 97. Written other ways, in hexadecimal, 0x21A6D.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,528
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
738,731
Recamán's sequence
a(493,153) = 137,837
Square (n²)
18,999,038,569
Cube (n³)
2,618,770,479,235,253
Divisor count
12
σ(n) — sum of divisors
167,580
φ(n) — Euler's totient
112,896
Sum of prime factors
140

Primality

Prime factorization: 7 2 × 29 × 97

Nearest primes: 137,831 (−6) · 137,849 (+12)

Divisors & multiples

All divisors (12)
1 · 7 · 29 · 49 · 97 · 203 · 679 · 1421 · 2813 · 4753 · 19691 · 137837
Aliquot sum (sum of proper divisors): 29,743
Factor pairs (a × b = 137,837)
1 × 137837
7 × 19691
29 × 4753
49 × 2813
97 × 1421
203 × 679
First multiples
137,837 · 275,674 (double) · 413,511 · 551,348 · 689,185 · 827,022 · 964,859 · 1,102,696 · 1,240,533 · 1,378,370

Sums & aliquot sequence

As a sum of two squares: 14² + 371² = 259² + 266²
As consecutive integers: 68,918 + 68,919 19,688 + 19,689 + … + 19,694 9,839 + 9,840 + … + 9,852 4,739 + 4,740 + … + 4,767
Aliquot sequence: 137,837 29,743 4,913 307 1 0 — terminates at zero

Continued fraction of √n

√137,837 = [371; (3, 1, 3, 1, 2, 3, 2, 3, 14, 1, 6, 3, 1, 1, 1, 4, 3, 1, 1, 2, 1, 14, 2, 3, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred thirty-seven
Ordinal
137837th
Binary
100001101001101101
Octal
415155
Hexadecimal
0x21A6D
Base64
Ahpt
One's complement
4,294,829,458 (32-bit)
Scientific notation
1.37837 × 10⁵
As a duration
137,837 s = 1 day, 14 hours, 17 minutes, 17 seconds
In other bases
ternary (3) 21000002002
quaternary (4) 201221231
quinary (5) 13402322
senary (6) 2542045
septenary (7) 1112600
nonary (9) 230062
undecimal (11) 94617
duodecimal (12) 67925
tridecimal (13) 4a97b
tetradecimal (14) 38337
pentadecimal (15) 2ac92

As an angle

137,837° = 382 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωλζʹ
Mayan (base 20)
𝋱·𝋤·𝋫·𝋱
Chinese
一十三萬七千八百三十七
Chinese (financial)
壹拾參萬柒仟捌佰參拾柒
In other modern scripts
Eastern Arabic ١٣٧٨٣٧ Devanagari १३७८३७ Bengali ১৩৭৮৩৭ Tamil ௧௩௭௮௩௭ Thai ๑๓๗๘๓๗ Tibetan ༡༣༧༨༣༧ Khmer ១៣៧៨៣៧ Lao ໑໓໗໘໓໗ Burmese ၁၃၇၈၃၇

Also seen as

Unicode codepoint
𡩭
CJK Unified Ideograph-21A6D
U+21A6D
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 AD (4 bytes).

Hex color
#021A6D
RGB(2, 26, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.109.

Address
0.2.26.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.109

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 137,837 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.