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137,822

137,822 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.).

137,822 (one hundred thirty-seven thousand eight hundred twenty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 137 × 503. Written other ways, in hexadecimal, 0x21A5E.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
672
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
228,731
Recamán's sequence
a(493,183) = 137,822
Square (n²)
18,994,903,684
Cube (n³)
2,617,915,615,536,248
Divisor count
8
σ(n) — sum of divisors
208,656
φ(n) — Euler's totient
68,272
Sum of prime factors
642

Primality

Prime factorization: 2 × 137 × 503

Nearest primes: 137,803 (−19) · 137,827 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 137 · 274 · 503 · 1006 · 68911 (half) · 137822
Aliquot sum (sum of proper divisors): 70,834
Factor pairs (a × b = 137,822)
1 × 137822
2 × 68911
137 × 1006
274 × 503
First multiples
137,822 · 275,644 (double) · 413,466 · 551,288 · 689,110 · 826,932 · 964,754 · 1,102,576 · 1,240,398 · 1,378,220

Sums & aliquot sequence

As consecutive integers: 34,454 + 34,455 + 34,456 + 34,457 938 + 939 + … + 1,074 23 + 24 + … + 525
Aliquot sequence: 137,822 70,834 36,734 18,370 17,918 11,554 6,266 3,898 1,952 1,954 980 1,414 1,034 694 350 394 200 — unresolved within range

Continued fraction of √n

√137,822 = [371; (4, 9, 1, 11, 1, 2, 6, 1, 6, 2, 19, 1, 1, 1, 1, 33, 6, 1, 3, 1, 1, 2, 3, 67, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred twenty-two
Ordinal
137822nd
Binary
100001101001011110
Octal
415136
Hexadecimal
0x21A5E
Base64
Ahpe
One's complement
4,294,829,473 (32-bit)
Scientific notation
1.37822 × 10⁵
As a duration
137,822 s = 1 day, 14 hours, 17 minutes, 2 seconds
In other bases
ternary (3) 21000001112
quaternary (4) 201221132
quinary (5) 13402242
senary (6) 2542022
septenary (7) 1112546
nonary (9) 230045
undecimal (11) 94603
duodecimal (12) 67912
tridecimal (13) 4a969
tetradecimal (14) 38326
pentadecimal (15) 2ac82

As an angle

137,822° = 382 × 360° + 302°
302° ≈ 5.271 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζωκβʹ
Mayan (base 20)
𝋱·𝋤·𝋫·𝋢
Chinese
一十三萬七千八百二十二
Chinese (financial)
壹拾參萬柒仟捌佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٧٨٢٢ Devanagari १३७८२२ Bengali ১৩৭৮২২ Tamil ௧௩௭௮௨௨ Thai ๑๓๗๘๒๒ Tibetan ༡༣༧༨༢༢ Khmer ១៣៧៨២២ Lao ໑໓໗໘໒໒ Burmese ၁၃၇၈၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137822, here are decompositions:

  • 19 + 137803 = 137822
  • 31 + 137791 = 137822
  • 79 + 137743 = 137822
  • 109 + 137713 = 137822
  • 163 + 137659 = 137822
  • 199 + 137623 = 137822
  • 229 + 137593 = 137822
  • 331 + 137491 = 137822

Showing the first eight; more decompositions exist.

Unicode codepoint
𡩞
CJK Unified Ideograph-21A5E
U+21A5E
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 9E (4 bytes).

Hex color
#021A5E
RGB(2, 26, 94)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.94.

Address
0.2.26.94
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.94

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 137,822 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 137822 first appears in π at position 141,267 of the decimal expansion (the 141,267ordinal-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.