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137,314

137,314 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.).

137,314 (one hundred thirty-seven thousand three hundred fourteen) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 71 × 967. Written other ways, in hexadecimal, 0x21862.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
252
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
413,731
Recamán's sequence
a(37,432) = 137,314
Square (n²)
18,855,134,596
Cube (n³)
2,589,073,951,915,144
Divisor count
8
σ(n) — sum of divisors
209,088
φ(n) — Euler's totient
67,620
Sum of prime factors
1,040

Primality

Prime factorization: 2 × 71 × 967

Nearest primes: 137,303 (−11) · 137,321 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 71 · 142 · 967 · 1934 · 68657 (half) · 137314
Aliquot sum (sum of proper divisors): 71,774
Factor pairs (a × b = 137,314)
1 × 137314
2 × 68657
71 × 1934
142 × 967
First multiples
137,314 · 274,628 (double) · 411,942 · 549,256 · 686,570 · 823,884 · 961,198 · 1,098,512 · 1,235,826 · 1,373,140

Sums & aliquot sequence

As consecutive integers: 34,327 + 34,328 + 34,329 + 34,330 1,899 + 1,900 + … + 1,969 342 + 343 + … + 625
Aliquot sequence: 137,314 71,774 42,274 23,966 13,618 8,702 5,098 2,552 2,848 2,822 1,714 860 988 972 1,576 1,394 874 — unresolved within range

Continued fraction of √n

√137,314 = [370; (1, 1, 3, 1, 2, 1, 3, 3, 5, 1, 1, 2, 1, 3, 1, 7, 1, 2, 1, 2, 2, 6, 1, 3, …)]

Representations

In words
one hundred thirty-seven thousand three hundred fourteen
Ordinal
137314th
Binary
100001100001100010
Octal
414142
Hexadecimal
0x21862
Base64
Ahhi
One's complement
4,294,829,981 (32-bit)
Scientific notation
1.37314 × 10⁵
As a duration
137,314 s = 1 day, 14 hours, 8 minutes, 34 seconds
In other bases
ternary (3) 20222100201
quaternary (4) 201201202
quinary (5) 13343224
senary (6) 2535414
septenary (7) 1111222
nonary (9) 228321
undecimal (11) 94191
duodecimal (12) 6756a
tridecimal (13) 4a668
tetradecimal (14) 38082
pentadecimal (15) 2aa44

As an angle

137,314° = 381 × 360° + 154°
154° ≈ 2.688 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτιδʹ
Mayan (base 20)
𝋱·𝋣·𝋥·𝋮
Chinese
一十三萬七千三百一十四
Chinese (financial)
壹拾參萬柒仟參佰壹拾肆
In other modern scripts
Eastern Arabic ١٣٧٣١٤ Devanagari १३७३१४ Bengali ১৩৭৩১৪ Tamil ௧௩௭௩௧௪ Thai ๑๓๗๓๑๔ Tibetan ༡༣༧༣༡༤ Khmer ១៣៧៣១៤ Lao ໑໓໗໓໑໔ Burmese ၁၃၇၃၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137314, here are decompositions:

  • 11 + 137303 = 137314
  • 41 + 137273 = 137314
  • 113 + 137201 = 137314
  • 131 + 137183 = 137314
  • 137 + 137177 = 137314
  • 167 + 137147 = 137314
  • 197 + 137117 = 137314
  • 227 + 137087 = 137314

Showing the first eight; more decompositions exist.

Unicode codepoint
𡡢
CJK Unified Ideograph-21862
U+21862
Other letter (Lo)

UTF-8 encoding: F0 A1 A1 A2 (4 bytes).

Hex color
#021862
RGB(2, 24, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.98.

Address
0.2.24.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.98

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 137,314 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 137314 first appears in π at position 900,355 of the decimal expansion (the 900,355ordinal-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