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137,716

137,716 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.).

137,716 (one hundred thirty-seven thousand seven hundred sixteen) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,429. Written other ways, in hexadecimal, 0x219F4.

Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
882
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
617,731
Recamán's sequence
a(493,395) = 137,716
Square (n²)
18,965,696,656
Cube (n³)
2,611,879,880,677,696
Divisor count
6
σ(n) — sum of divisors
241,010
φ(n) — Euler's totient
68,856
Sum of prime factors
34,433

Primality

Prime factorization: 2 2 × 34429

Nearest primes: 137,713 (−3) · 137,723 (+7)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34429 · 68858 (half) · 137716
Aliquot sum (sum of proper divisors): 103,294
Factor pairs (a × b = 137,716)
1 × 137716
2 × 68858
4 × 34429
First multiples
137,716 · 275,432 (double) · 413,148 · 550,864 · 688,580 · 826,296 · 964,012 · 1,101,728 · 1,239,444 · 1,377,160

Sums & aliquot sequence

As a sum of two squares: 204² + 310²
As consecutive integers: 17,211 + 17,212 + … + 17,218
Aliquot sequence: 137,716 103,294 51,650 44,512 50,744 44,416 44,324 44,380 62,468 69,244 69,300 201,516 336,084 560,364 962,220 2,263,380 5,429,676 — unresolved within range

Continued fraction of √n

√137,716 = [371; (9, 1, 8, 2, 49, 148, 2, 2, 1, 1, 1, 2, 1, 2, 247, 29, 1, 2, 6, 16, 2, 1, 48, 1, …)]

Representations

In words
one hundred thirty-seven thousand seven hundred sixteen
Ordinal
137716th
Binary
100001100111110100
Octal
414764
Hexadecimal
0x219F4
Base64
Ahn0
One's complement
4,294,829,579 (32-bit)
Scientific notation
1.37716 × 10⁵
As a duration
137,716 s = 1 day, 14 hours, 15 minutes, 16 seconds
In other bases
ternary (3) 20222220121
quaternary (4) 201213310
quinary (5) 13401331
senary (6) 2541324
septenary (7) 1112335
nonary (9) 228817
undecimal (11) 94517
duodecimal (12) 67844
tridecimal (13) 4a8b7
tetradecimal (14) 3828c
pentadecimal (15) 2ac11

As an angle

137,716° = 382 × 360° + 196°
196° ≈ 3.421 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζψιϛʹ
Mayan (base 20)
𝋱·𝋤·𝋥·𝋰
Chinese
一十三萬七千七百一十六
Chinese (financial)
壹拾參萬柒仟柒佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٧٧١٦ Devanagari १३७७१६ Bengali ১৩৭৭১৬ Tamil ௧௩௭௭௧௬ Thai ๑๓๗๗๑๖ Tibetan ༡༣༧༧༡༦ Khmer ១៣៧៧១៦ Lao ໑໓໗໗໑໖ Burmese ၁၃၇၇၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137716, here are decompositions:

  • 3 + 137713 = 137716
  • 17 + 137699 = 137716
  • 83 + 137633 = 137716
  • 149 + 137567 = 137716
  • 179 + 137537 = 137716
  • 197 + 137519 = 137716
  • 233 + 137483 = 137716
  • 239 + 137477 = 137716

Showing the first eight; more decompositions exist.

Unicode codepoint
𡧴
CJK Unified Ideograph-219F4
U+219F4
Other letter (Lo)

UTF-8 encoding: F0 A1 A7 B4 (4 bytes).

Hex color
#0219F4
RGB(2, 25, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.244.

Address
0.2.25.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.244

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 137,716 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