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137,714

137,714 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.).

137,714 (one hundred thirty-seven thousand seven hundred fourteen) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 37 × 1,861. Written other ways, in hexadecimal, 0x219F2.

Cube-Free Deficient Number Odious Number Recamán's Sequence Self Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
588
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
417,731
Recamán's sequence
a(493,399) = 137,714
Square (n²)
18,965,145,796
Cube (n³)
2,611,766,088,150,344
Divisor count
8
σ(n) — sum of divisors
212,268
φ(n) — Euler's totient
66,960
Sum of prime factors
1,900

Primality

Prime factorization: 2 × 37 × 1861

Nearest primes: 137,713 (−1) · 137,723 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 37 · 74 · 1861 · 3722 · 68857 (half) · 137714
Aliquot sum (sum of proper divisors): 74,554
Factor pairs (a × b = 137,714)
1 × 137714
2 × 68857
37 × 3722
74 × 1861
First multiples
137,714 · 275,428 (double) · 413,142 · 550,856 · 688,570 · 826,284 · 963,998 · 1,101,712 · 1,239,426 · 1,377,140

Sums & aliquot sequence

As a sum of two squares: 55² + 367² = 67² + 365²
As consecutive integers: 34,427 + 34,428 + 34,429 + 34,430 3,704 + 3,705 + … + 3,740 857 + 858 + … + 1,004
Aliquot sequence: 137,714 74,554 37,280 51,172 46,604 36,724 27,550 28,250 25,102 22,130 17,722 8,864 8,650 7,532 7,588 7,644 14,700 — unresolved within range

Continued fraction of √n

√137,714 = [371; (10, 6, 29, 1, 1, 9, 1, 17, 5, 15, 1, 14, 1, 5, 1, 4, 3, 1, 4, 6, 1, 1, 6, 4, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand seven hundred fourteen
Ordinal
137714th
Binary
100001100111110010
Octal
414762
Hexadecimal
0x219F2
Base64
Ahny
One's complement
4,294,829,581 (32-bit)
Scientific notation
1.37714 × 10⁵
As a duration
137,714 s = 1 day, 14 hours, 15 minutes, 14 seconds
In other bases
ternary (3) 20222220112
quaternary (4) 201213302
quinary (5) 13401324
senary (6) 2541322
septenary (7) 1112333
nonary (9) 228815
undecimal (11) 94515
duodecimal (12) 67842
tridecimal (13) 4a8b5
tetradecimal (14) 3828a
pentadecimal (15) 2ac0e

As an angle

137,714° = 382 × 360° + 194°
194° ≈ 3.386 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζψιδʹ
Mayan (base 20)
𝋱·𝋤·𝋥·𝋮
Chinese
一十三萬七千七百一十四
Chinese (financial)
壹拾參萬柒仟柒佰壹拾肆
In other modern scripts
Eastern Arabic ١٣٧٧١٤ Devanagari १३७७१४ Bengali ১৩৭৭১৪ Tamil ௧௩௭௭௧௪ Thai ๑๓๗๗๑๔ Tibetan ༡༣༧༧༡༤ Khmer ១៣៧៧១៤ Lao ໑໓໗໗໑໔ Burmese ၁၃၇၇၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137714, here are decompositions:

  • 7 + 137707 = 137714
  • 61 + 137653 = 137714
  • 127 + 137587 = 137714
  • 223 + 137491 = 137714
  • 271 + 137443 = 137714
  • 277 + 137437 = 137714
  • 331 + 137383 = 137714
  • 373 + 137341 = 137714

Showing the first eight; more decompositions exist.

Unicode codepoint
𡧲
CJK Unified Ideograph-219F2
U+219F2
Other letter (Lo)

UTF-8 encoding: F0 A1 A7 B2 (4 bytes).

Hex color
#0219F2
RGB(2, 25, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.242.

Address
0.2.25.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.242

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 137,714 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 137714 first appears in π at position 111,526 of the decimal expansion (the 111,526ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.