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137,114

137,114 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.).

137,114 (one hundred thirty-seven thousand one hundred fourteen) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 179 × 383. Written other ways, in hexadecimal, 0x2179A.

Arithmetic Number Cube-Free Deficient Number Odious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
84
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
411,731
Square (n²)
18,800,248,996
Cube (n³)
2,577,777,340,837,544
Divisor count
8
σ(n) — sum of divisors
207,360
φ(n) — Euler's totient
67,996
Sum of prime factors
564

Primality

Prime factorization: 2 × 179 × 383

Nearest primes: 137,089 (−25) · 137,117 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 179 · 358 · 383 · 766 · 68557 (half) · 137114
Aliquot sum (sum of proper divisors): 70,246
Factor pairs (a × b = 137,114)
1 × 137114
2 × 68557
179 × 766
358 × 383
First multiples
137,114 · 274,228 (double) · 411,342 · 548,456 · 685,570 · 822,684 · 959,798 · 1,096,912 · 1,234,026 · 1,371,140

Sums & aliquot sequence

As consecutive integers: 34,277 + 34,278 + 34,279 + 34,280 677 + 678 + … + 855 167 + 168 + … + 549
Aliquot sequence: 137,114 70,246 49,562 24,784 23,266 11,636 8,734 5,594 2,800 4,888 5,192 5,608 4,922 2,854 1,430 1,594 800 — unresolved within range

Continued fraction of √n

√137,114 = [370; (3, 2, 5, 1, 1, 1, 3, 1, 3, 1, 2, 11, 28, 2, 1, 1, 8, 1, 3, 2, 5, 1, 4, 1, …)]

Representations

In words
one hundred thirty-seven thousand one hundred fourteen
Ordinal
137114th
Binary
100001011110011010
Octal
413632
Hexadecimal
0x2179A
Base64
Ahea
One's complement
4,294,830,181 (32-bit)
Scientific notation
1.37114 × 10⁵
As a duration
137,114 s = 1 day, 14 hours, 5 minutes, 14 seconds
In other bases
ternary (3) 20222002022
quaternary (4) 201132122
quinary (5) 13341424
senary (6) 2534442
septenary (7) 1110515
nonary (9) 228068
undecimal (11) 9401a
duodecimal (12) 67422
tridecimal (13) 4a543
tetradecimal (14) 37d7c
pentadecimal (15) 2a95e

As an angle

137,114° = 380 × 360° + 314°
314° ≈ 5.48 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζριδʹ
Mayan (base 20)
𝋱·𝋢·𝋯·𝋮
Chinese
一十三萬七千一百一十四
Chinese (financial)
壹拾參萬柒仟壹佰壹拾肆
In other modern scripts
Eastern Arabic ١٣٧١١٤ Devanagari १३७११४ Bengali ১৩৭১১৪ Tamil ௧௩௭௧௧௪ Thai ๑๓๗๑๑๔ Tibetan ༡༣༧༡༡༤ Khmer ១៣៧១១៤ Lao ໑໓໗໑໑໔ Burmese ၁၃၇၁၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137114, here are decompositions:

  • 37 + 137077 = 137114
  • 127 + 136987 = 137114
  • 151 + 136963 = 137114
  • 163 + 136951 = 137114
  • 337 + 136777 = 137114
  • 421 + 136693 = 137114
  • 457 + 136657 = 137114
  • 463 + 136651 = 137114

Showing the first eight; more decompositions exist.

Unicode codepoint
𡞚
CJK Unified Ideograph-2179A
U+2179A
Other letter (Lo)

UTF-8 encoding: F0 A1 9E 9A (4 bytes).

Hex color
#02179A
RGB(2, 23, 154)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.154.

Address
0.2.23.154
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.154

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 137,114 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.