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137,222

137,222 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.).

137,222 (one hundred thirty-seven thousand two hundred twenty-two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 68,611. Written other ways, in hexadecimal, 0x21806.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Self Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
168
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
222,731
Square (n²)
18,829,877,284
Cube (n³)
2,583,873,420,665,048
Divisor count
4
σ(n) — sum of divisors
205,836
φ(n) — Euler's totient
68,610
Sum of prime factors
68,613

Primality

Prime factorization: 2 × 68611

Nearest primes: 137,219 (−3) · 137,239 (+17)

Divisors & multiples

All divisors (4)
1 · 2 · 68611 (half) · 137222
Aliquot sum (sum of proper divisors): 68,614
Factor pairs (a × b = 137,222)
1 × 137222
2 × 68611
First multiples
137,222 · 274,444 (double) · 411,666 · 548,888 · 686,110 · 823,332 · 960,554 · 1,097,776 · 1,234,998 · 1,372,220

Sums & aliquot sequence

As consecutive integers: 34,304 + 34,305 + 34,306 + 34,307
Aliquot sequence: 137,222 68,614 63,146 31,576 27,644 20,740 26,132 20,908 15,688 15,092 18,508 18,564 37,884 75,012 140,028 233,604 471,100 — unresolved within range

Continued fraction of √n

√137,222 = [370; (2, 3, 2, 1, 18, 1, 4, 43, 2, 1, 1, 1, 3, 1, 4, 3, 2, 3, 1, 2, 2, 2, 7, 6, …)]

Representations

In words
one hundred thirty-seven thousand two hundred twenty-two
Ordinal
137222nd
Binary
100001100000000110
Octal
414006
Hexadecimal
0x21806
Base64
AhgG
One's complement
4,294,830,073 (32-bit)
Scientific notation
1.37222 × 10⁵
As a duration
137,222 s = 1 day, 14 hours, 7 minutes, 2 seconds
In other bases
ternary (3) 20222020022
quaternary (4) 201200012
quinary (5) 13342342
senary (6) 2535142
septenary (7) 1111031
nonary (9) 228208
undecimal (11) 94108
duodecimal (12) 674b2
tridecimal (13) 4a5c7
tetradecimal (14) 38018
pentadecimal (15) 2a9d2

As an angle

137,222° = 381 × 360° + 62°
62° ≈ 1.082 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζσκβʹ
Mayan (base 20)
𝋱·𝋣·𝋡·𝋢
Chinese
一十三萬七千二百二十二
Chinese (financial)
壹拾參萬柒仟貳佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٧٢٢٢ Devanagari १३७२२२ Bengali ১৩৭২২২ Tamil ௧௩௭௨௨௨ Thai ๑๓๗๒๒๒ Tibetan ༡༣༧༢༢༢ Khmer ១៣៧២២២ Lao ໑໓໗໒໒໒ Burmese ၁၃၇၂၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137222, here are decompositions:

  • 3 + 137219 = 137222
  • 13 + 137209 = 137222
  • 31 + 137191 = 137222
  • 79 + 137143 = 137222
  • 103 + 137119 = 137222
  • 193 + 137029 = 137222
  • 223 + 136999 = 137222
  • 229 + 136993 = 137222

Showing the first eight; more decompositions exist.

Unicode codepoint
𡠆
CJK Unified Ideograph-21806
U+21806
Other letter (Lo)

UTF-8 encoding: F0 A1 A0 86 (4 bytes).

Hex color
#021806
RGB(2, 24, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.6.

Address
0.2.24.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.6

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 137,222 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 137222 first appears in π at position 577,512 of the decimal expansion (the 577,512ordinal-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.