number.wiki
Live analysis

137,092

137,092 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.).

137,092 (one hundred thirty-seven thousand ninety-two) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,273. Written other ways, in hexadecimal, 0x21784.

Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
290,731
Square (n²)
18,794,216,464
Cube (n³)
2,576,536,723,482,688
Divisor count
6
σ(n) — sum of divisors
239,918
φ(n) — Euler's totient
68,544
Sum of prime factors
34,277

Primality

Prime factorization: 2 2 × 34273

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

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34273 · 68546 (half) · 137092
Aliquot sum (sum of proper divisors): 102,826
Factor pairs (a × b = 137,092)
1 × 137092
2 × 68546
4 × 34273
First multiples
137,092 · 274,184 (double) · 411,276 · 548,368 · 685,460 · 822,552 · 959,644 · 1,096,736 · 1,233,828 · 1,370,920

Sums & aliquot sequence

As a sum of two squares: 56² + 366²
As consecutive integers: 17,133 + 17,134 + … + 17,140
Aliquot sequence: 137,092 102,826 51,416 45,004 33,760 46,376 57,304 68,696 64,744 56,666 31,354 16,634 8,320 13,100 15,544 15,056 14,146 — unresolved within range

Continued fraction of √n

√137,092 = [370; (3, 1, 5, 1, 11, 1, 2, 3, 14, 4, 1, 1, 7, 1, 22, 3, 1, 6, 1, 24, 1, 1, 1, 42, …)]

Representations

In words
one hundred thirty-seven thousand ninety-two
Ordinal
137092nd
Binary
100001011110000100
Octal
413604
Hexadecimal
0x21784
Base64
AheE
One's complement
4,294,830,203 (32-bit)
Scientific notation
1.37092 × 10⁵
As a duration
137,092 s = 1 day, 14 hours, 4 minutes, 52 seconds
In other bases
ternary (3) 20222001111
quaternary (4) 201132010
quinary (5) 13341332
senary (6) 2534404
septenary (7) 1110454
nonary (9) 228044
undecimal (11) 93aaa
duodecimal (12) 67404
tridecimal (13) 4a527
tetradecimal (14) 37d64
pentadecimal (15) 2a947

As an angle

137,092° = 380 × 360° + 292°
292° ≈ 5.096 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζϟβʹ
Mayan (base 20)
𝋱·𝋢·𝋮·𝋬
Chinese
一十三萬七千零九十二
Chinese (financial)
壹拾參萬柒仟零玖拾貳
In other modern scripts
Eastern Arabic ١٣٧٠٩٢ Devanagari १३७०९२ Bengali ১৩৭০৯২ Tamil ௧௩௭௦௯௨ Thai ๑๓๗๐๙๒ Tibetan ༡༣༧༠༩༢ Khmer ១៣៧០៩២ Lao ໑໓໗໐໙໒ Burmese ၁၃၇၀၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137092, here are decompositions:

  • 3 + 137089 = 137092
  • 5 + 137087 = 137092
  • 101 + 136991 = 137092
  • 113 + 136979 = 137092
  • 149 + 136943 = 137092
  • 233 + 136859 = 137092
  • 251 + 136841 = 137092
  • 281 + 136811 = 137092

Showing the first eight; more decompositions exist.

Unicode codepoint
𡞄
CJK Unified Ideograph-21784
U+21784
Other letter (Lo)

UTF-8 encoding: F0 A1 9E 84 (4 bytes).

Hex color
#021784
RGB(2, 23, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.132.

Address
0.2.23.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.132

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 137,092 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 137092 first appears in π at position 16,051 of the decimal expansion (the 16,051ordinal-suffix:st 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