number.wiki
Live analysis

137,326

137,326 is a composite number, even.

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.).

137,326 (one hundred thirty-seven thousand three hundred twenty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 17 × 577. Written other ways, in hexadecimal, 0x2186E.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
756
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
623,731
Recamán's sequence
a(37,456) = 137,326
Square (n²)
18,858,430,276
Cube (n³)
2,589,752,796,081,976
Divisor count
16
σ(n) — sum of divisors
249,696
φ(n) — Euler's totient
55,296
Sum of prime factors
603

Primality

Prime factorization: 2 × 7 × 17 × 577

Nearest primes: 137,321 (−5) · 137,339 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 17 · 34 · 119 · 238 · 577 · 1154 · 4039 · 8078 · 9809 · 19618 · 68663 (half) · 137326
Aliquot sum (sum of proper divisors): 112,370
Factor pairs (a × b = 137,326)
1 × 137326
2 × 68663
7 × 19618
14 × 9809
17 × 8078
34 × 4039
119 × 1154
238 × 577
First multiples
137,326 · 274,652 (double) · 411,978 · 549,304 · 686,630 · 823,956 · 961,282 · 1,098,608 · 1,235,934 · 1,373,260

Sums & aliquot sequence

As consecutive integers: 34,330 + 34,331 + 34,332 + 34,333 19,615 + 19,616 + … + 19,621 8,070 + 8,071 + … + 8,086 4,891 + 4,892 + … + 4,918
Aliquot sequence: 137,326 112,370 102,118 51,062 33,526 16,766 8,938 4,922 2,854 1,430 1,594 800 1,153 1 0 — terminates at zero

Continued fraction of √n

√137,326 = [370; (1, 1, 2, 1, 4, 1, 1, 1, 10, 10, 2, 40, 1, 2, 3, 6, 1, 28, 1, 3, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand three hundred twenty-six
Ordinal
137326th
Binary
100001100001101110
Octal
414156
Hexadecimal
0x2186E
Base64
Ahhu
One's complement
4,294,829,969 (32-bit)
Scientific notation
1.37326 × 10⁵
As a duration
137,326 s = 1 day, 14 hours, 8 minutes, 46 seconds
In other bases
ternary (3) 20222101011
quaternary (4) 201201232
quinary (5) 13343301
senary (6) 2535434
septenary (7) 1111240
nonary (9) 228334
undecimal (11) 941a2
duodecimal (12) 6757a
tridecimal (13) 4a677
tetradecimal (14) 38090
pentadecimal (15) 2aa51

As an angle

137,326° = 381 × 360° + 166°
166° ≈ 2.897 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτκϛʹ
Mayan (base 20)
𝋱·𝋣·𝋦·𝋦
Chinese
一十三萬七千三百二十六
Chinese (financial)
壹拾參萬柒仟參佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٧٣٢٦ Devanagari १३७३२६ Bengali ১৩৭৩২৬ Tamil ௧௩௭௩௨௬ Thai ๑๓๗๓๒๖ Tibetan ༡༣༧༣༢༦ Khmer ១៣៧៣២៦ Lao ໑໓໗໓໒໖ Burmese ၁၃၇၃၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137326, here are decompositions:

  • 5 + 137321 = 137326
  • 23 + 137303 = 137326
  • 47 + 137279 = 137326
  • 53 + 137273 = 137326
  • 107 + 137219 = 137326
  • 149 + 137177 = 137326
  • 173 + 137153 = 137326
  • 179 + 137147 = 137326

Showing the first eight; more decompositions exist.

Unicode codepoint
𡡮
CJK Unified Ideograph-2186E
U+2186E
Other letter (Lo)

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

Hex color
#02186E
RGB(2, 24, 110)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.110.

Address
0.2.24.110
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.110

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 137,326 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