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137,319

137,319 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.).

137,319 (one hundred thirty-seven thousand three hundred nineteen) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3 × 7 × 13 × 503. Written other ways, in hexadecimal, 0x21867.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
24
Digit product
567
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
913,731
Recamán's sequence
a(37,442) = 137,319
Square (n²)
18,856,507,761
Cube (n³)
2,589,356,789,232,759
Divisor count
16
σ(n) — sum of divisors
225,792
φ(n) — Euler's totient
72,288
Sum of prime factors
526

Primality

Prime factorization: 3 × 7 × 13 × 503

Nearest primes: 137,303 (−16) · 137,321 (+2)

Divisors & multiples

All divisors (16)
1 · 3 · 7 · 13 · 21 · 39 · 91 · 273 · 503 · 1509 · 3521 · 6539 · 10563 · 19617 · 45773 · 137319
Aliquot sum (sum of proper divisors): 88,473
Factor pairs (a × b = 137,319)
1 × 137319
3 × 45773
7 × 19617
13 × 10563
21 × 6539
39 × 3521
91 × 1509
273 × 503
First multiples
137,319 · 274,638 (double) · 411,957 · 549,276 · 686,595 · 823,914 · 961,233 · 1,098,552 · 1,235,871 · 1,373,190

Sums & aliquot sequence

As consecutive integers: 68,659 + 68,660 45,772 + 45,773 + 45,774 22,884 + 22,885 + 22,886 + 22,887 + 22,888 + 22,889 19,614 + 19,615 + … + 19,620
Aliquot sequence: 137,319 88,473 58,983 19,665 17,775 14,465 4,543 1,217 1 0 — terminates at zero

Continued fraction of √n

√137,319 = [370; (1, 1, 3, 3, 3, 29, 2, 1, 11, 3, 1, 1, 7, 1, 18, 1, 1, 1, 1, 1, 2, 1, 1, 2, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred nineteen
Ordinal
137319th
Binary
100001100001100111
Octal
414147
Hexadecimal
0x21867
Base64
Ahhn
One's complement
4,294,829,976 (32-bit)
Scientific notation
1.37319 × 10⁵
As a duration
137,319 s = 1 day, 14 hours, 8 minutes, 39 seconds
In other bases
ternary (3) 20222100220
quaternary (4) 201201213
quinary (5) 13343234
senary (6) 2535423
septenary (7) 1111230
nonary (9) 228326
undecimal (11) 94196
duodecimal (12) 67573
tridecimal (13) 4a670
tetradecimal (14) 38087
pentadecimal (15) 2aa49

As an angle

137,319° = 381 × 360° + 159°
159° ≈ 2.775 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτιθʹ
Mayan (base 20)
𝋱·𝋣·𝋥·𝋳
Chinese
一十三萬七千三百一十九
Chinese (financial)
壹拾參萬柒仟參佰壹拾玖
In other modern scripts
Eastern Arabic ١٣٧٣١٩ Devanagari १३७३१९ Bengali ১৩৭৩১৯ Tamil ௧௩௭௩௧௯ Thai ๑๓๗๓๑๙ Tibetan ༡༣༧༣༡༩ Khmer ១៣៧៣១៩ Lao ໑໓໗໓໑໙ Burmese ၁၃၇၃၁၉

Also seen as

Unicode codepoint
𡡧
CJK Unified Ideograph-21867
U+21867
Other letter (Lo)

UTF-8 encoding: F0 A1 A1 A7 (4 bytes).

Hex color
#021867
RGB(2, 24, 103)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.103.

Address
0.2.24.103
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.103

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 137,319 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

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