number.wiki
Live analysis

137,122

137,122 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.).

137,122 (one hundred thirty-seven thousand one hundred twenty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 17 × 37 × 109. Written other ways, in hexadecimal, 0x217A2.

Cube-Free Deficient Number Evil Number Happy Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
84
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
221,731
Square (n²)
18,802,442,884
Cube (n³)
2,578,228,573,139,848
Divisor count
16
σ(n) — sum of divisors
225,720
φ(n) — Euler's totient
62,208
Sum of prime factors
165

Primality

Prime factorization: 2 × 17 × 37 × 109

Nearest primes: 137,119 (−3) · 137,131 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 17 · 34 · 37 · 74 · 109 · 218 · 629 · 1258 · 1853 · 3706 · 4033 · 8066 · 68561 (half) · 137122
Aliquot sum (sum of proper divisors): 88,598
Factor pairs (a × b = 137,122)
1 × 137122
2 × 68561
17 × 8066
34 × 4033
37 × 3706
74 × 1853
109 × 1258
218 × 629
First multiples
137,122 · 274,244 (double) · 411,366 · 548,488 · 685,610 · 822,732 · 959,854 · 1,096,976 · 1,234,098 · 1,371,220

Sums & aliquot sequence

As a sum of two squares: 31² + 369² = 149² + 339² = 201² + 311² = 229² + 291²
As consecutive integers: 34,279 + 34,280 + 34,281 + 34,282 8,058 + 8,059 + … + 8,074 3,688 + 3,689 + … + 3,724 1,983 + 1,984 + … + 2,050
Aliquot sequence: 137,122 88,598 48,682 25,370 22,150 19,142 11,314 5,660 6,268 4,708 4,364 3,280 4,532 4,204 3,160 4,040 5,140 — unresolved within range

Continued fraction of √n

√137,122 = [370; (3, 2, 1, 81, 1, 1, 2, 3, 5, 8, 1, 20, 1, 8, 5, 3, 2, 1, 1, 81, 1, 2, 3, 740)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand one hundred twenty-two
Ordinal
137122nd
Binary
100001011110100010
Octal
413642
Hexadecimal
0x217A2
Base64
Ahei
One's complement
4,294,830,173 (32-bit)
Scientific notation
1.37122 × 10⁵
As a duration
137,122 s = 1 day, 14 hours, 5 minutes, 22 seconds
In other bases
ternary (3) 20222002121
quaternary (4) 201132202
quinary (5) 13341442
senary (6) 2534454
septenary (7) 1110526
nonary (9) 228077
undecimal (11) 94027
duodecimal (12) 6742a
tridecimal (13) 4a54b
tetradecimal (14) 37d86
pentadecimal (15) 2a967

As an angle

137,122° = 380 × 360° + 322°
322° ≈ 5.62 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζρκβʹ
Mayan (base 20)
𝋱·𝋢·𝋰·𝋢
Chinese
一十三萬七千一百二十二
Chinese (financial)
壹拾參萬柒仟壹佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٧١٢٢ Devanagari १३७१२२ Bengali ১৩৭১২২ Tamil ௧௩௭௧௨௨ Thai ๑๓๗๑๒๒ Tibetan ༡༣༧༡༢༢ Khmer ១៣៧១២២ Lao ໑໓໗໑໒໒ Burmese ၁၃၇၁၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137122, here are decompositions:

  • 3 + 137119 = 137122
  • 5 + 137117 = 137122
  • 131 + 136991 = 137122
  • 149 + 136973 = 137122
  • 173 + 136949 = 137122
  • 179 + 136943 = 137122
  • 233 + 136889 = 137122
  • 239 + 136883 = 137122

Showing the first eight; more decompositions exist.

Unicode codepoint
𡞢
CJK Unified Ideograph-217A2
U+217A2
Other letter (Lo)

UTF-8 encoding: F0 A1 9E A2 (4 bytes).

Hex color
#0217A2
RGB(2, 23, 162)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.162.

Address
0.2.23.162
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.162

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 137,122 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