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137,320

137,320 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.).

137,320 (one hundred thirty-seven thousand three hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,433. Its proper divisors sum to 171,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21868.

Abundant Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
23,731
Recamán's sequence
a(37,444) = 137,320
Square (n²)
18,856,782,400
Cube (n³)
2,589,413,359,168,000
Divisor count
16
σ(n) — sum of divisors
309,060
φ(n) — Euler's totient
54,912
Sum of prime factors
3,444

Primality

Prime factorization: 2 3 × 5 × 3433

Nearest primes: 137,303 (−17) · 137,321 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 3433 · 6866 · 13732 · 17165 · 27464 · 34330 · 68660 (half) · 137320
Aliquot sum (sum of proper divisors): 171,740
Factor pairs (a × b = 137,320)
1 × 137320
2 × 68660
4 × 34330
5 × 27464
8 × 17165
10 × 13732
20 × 6866
40 × 3433
First multiples
137,320 · 274,640 (double) · 411,960 · 549,280 · 686,600 · 823,920 · 961,240 · 1,098,560 · 1,235,880 · 1,373,200

Sums & aliquot sequence

As a sum of two squares: 58² + 366² = 258² + 266²
As consecutive integers: 27,462 + 27,463 + 27,464 + 27,465 + 27,466 8,575 + 8,576 + … + 8,590 1,677 + 1,678 + … + 1,756
Aliquot sequence: 137,320 171,740 201,892 172,328 175,852 131,896 115,424 111,880 139,940 153,976 150,224 149,236 111,934 55,970 48,790 60,074 44,920 — unresolved within range

Continued fraction of √n

√137,320 = [370; (1, 1, 3, 4, 2, 6, 1, 2, 9, 30, 1, 3, 2, 2, 1, 1, 7, 4, 1, 1, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand three hundred twenty
Ordinal
137320th
Binary
100001100001101000
Octal
414150
Hexadecimal
0x21868
Base64
Ahho
One's complement
4,294,829,975 (32-bit)
Scientific notation
1.3732 × 10⁵
As a duration
137,320 s = 1 day, 14 hours, 8 minutes, 40 seconds
In other bases
ternary (3) 20222100221
quaternary (4) 201201220
quinary (5) 13343240
senary (6) 2535424
septenary (7) 1111231
nonary (9) 228327
undecimal (11) 94197
duodecimal (12) 67574
tridecimal (13) 4a671
tetradecimal (14) 38088
pentadecimal (15) 2aa4a

As an angle

137,320° = 381 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλζτκʹ
Mayan (base 20)
𝋱·𝋣·𝋦·𝋠
Chinese
一十三萬七千三百二十
Chinese (financial)
壹拾參萬柒仟參佰貳拾
In other modern scripts
Eastern Arabic ١٣٧٣٢٠ Devanagari १३७३२० Bengali ১৩৭৩২০ Tamil ௧௩௭௩௨௦ Thai ๑๓๗๓๒๐ Tibetan ༡༣༧༣༢༠ Khmer ១៣៧៣២០ Lao ໑໓໗໓໒໐ Burmese ၁၃၇၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137320, here are decompositions:

  • 17 + 137303 = 137320
  • 41 + 137279 = 137320
  • 47 + 137273 = 137320
  • 101 + 137219 = 137320
  • 137 + 137183 = 137320
  • 167 + 137153 = 137320
  • 173 + 137147 = 137320
  • 233 + 137087 = 137320

Showing the first eight; more decompositions exist.

Unicode codepoint
𡡨
CJK Unified Ideograph-21868
U+21868
Other letter (Lo)

UTF-8 encoding: F0 A1 A1 A8 (4 bytes).

Hex color
#021868
RGB(2, 24, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.104.

Address
0.2.24.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.104

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 137,320 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