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137,002

137,002 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.).

137,002 (one hundred thirty-seven thousand two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 68,501. Written other ways, in hexadecimal, 0x2172A.

Cube-Free Deficient Number Evil Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
200,731
Square (n²)
18,769,548,004
Cube (n³)
2,571,465,615,644,008
Divisor count
4
σ(n) — sum of divisors
205,506
φ(n) — Euler's totient
68,500
Sum of prime factors
68,503

Primality

Prime factorization: 2 × 68501

Nearest primes: 136,999 (−3) · 137,029 (+27)

Divisors & multiples

All divisors (4)
1 · 2 · 68501 (half) · 137002
Aliquot sum (sum of proper divisors): 68,504
Factor pairs (a × b = 137,002)
1 × 137002
2 × 68501
First multiples
137,002 · 274,004 (double) · 411,006 · 548,008 · 685,010 · 822,012 · 959,014 · 1,096,016 · 1,233,018 · 1,370,020

Sums & aliquot sequence

As a sum of two squares: 29² + 369²
As consecutive integers: 34,249 + 34,250 + 34,251 + 34,252
Aliquot sequence: 137,002 68,504 59,956 53,136 104,406 104,418 121,860 248,328 424,422 614,538 717,000 1,529,400 3,213,600 8,160,672 15,081,792 29,857,920 65,320,320 — unresolved within range

Continued fraction of √n

√137,002 = [370; (7, 3, 1, 9, 4, 12, 1, 1, 12, 4, 9, 1, 3, 7, 740)]

Period length 15 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand two
Ordinal
137002nd
Binary
100001011100101010
Octal
413452
Hexadecimal
0x2172A
Base64
Ahcq
One's complement
4,294,830,293 (32-bit)
Scientific notation
1.37002 × 10⁵
As a duration
137,002 s = 1 day, 14 hours, 3 minutes, 22 seconds
In other bases
ternary (3) 20221221011
quaternary (4) 201130222
quinary (5) 13341002
senary (6) 2534134
septenary (7) 1110265
nonary (9) 227834
undecimal (11) 93a28
duodecimal (12) 6734a
tridecimal (13) 4a488
tetradecimal (14) 37cdc
pentadecimal (15) 2a8d7

As an angle

137,002° = 380 × 360° + 202°
202° ≈ 3.526 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺
Greek (Milesian)
͵ρλζβʹ
Mayan (base 20)
𝋱·𝋢·𝋪·𝋢
Chinese
一十三萬七千零二
Chinese (financial)
壹拾參萬柒仟零貳
In other modern scripts
Eastern Arabic ١٣٧٠٠٢ Devanagari १३७००२ Bengali ১৩৭০০২ Tamil ௧௩௭௦௦௨ Thai ๑๓๗๐๐๒ Tibetan ༡༣༧༠༠༢ Khmer ១៣៧០០២ Lao ໑໓໗໐໐໒ Burmese ၁၃၇၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137002, here are decompositions:

  • 3 + 136999 = 137002
  • 11 + 136991 = 137002
  • 23 + 136979 = 137002
  • 29 + 136973 = 137002
  • 53 + 136949 = 137002
  • 59 + 136943 = 137002
  • 113 + 136889 = 137002
  • 191 + 136811 = 137002

Showing the first eight; more decompositions exist.

Unicode codepoint
𡜪
CJK Unified Ideograph-2172A
U+2172A
Other letter (Lo)

UTF-8 encoding: F0 A1 9C AA (4 bytes).

Hex color
#02172A
RGB(2, 23, 42)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.42.

Address
0.2.23.42
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.42

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 137,002 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