number.wiki
Live analysis

136,002

136,002 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.).

136,002 (one hundred thirty-six thousand two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 19 × 1,193. Its proper divisors sum to 150,558, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21342.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
200,631
Square (n²)
18,496,544,004
Cube (n³)
2,515,566,977,632,008
Divisor count
16
σ(n) — sum of divisors
286,560
φ(n) — Euler's totient
42,912
Sum of prime factors
1,217

Primality

Prime factorization: 2 × 3 × 19 × 1193

Nearest primes: 135,979 (−23) · 136,013 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 19 · 38 · 57 · 114 · 1193 · 2386 · 3579 · 7158 · 22667 · 45334 · 68001 (half) · 136002
Aliquot sum (sum of proper divisors): 150,558
Factor pairs (a × b = 136,002)
1 × 136002
2 × 68001
3 × 45334
6 × 22667
19 × 7158
38 × 3579
57 × 2386
114 × 1193
First multiples
136,002 · 272,004 (double) · 408,006 · 544,008 · 680,010 · 816,012 · 952,014 · 1,088,016 · 1,224,018 · 1,360,020

Sums & aliquot sequence

As consecutive integers: 45,333 + 45,334 + 45,335 33,999 + 34,000 + 34,001 + 34,002 11,328 + 11,329 + … + 11,339 7,149 + 7,150 + … + 7,167
Aliquot sequence: 136,002 150,558 163,938 168,702 179,970 314,238 322,818 328,638 328,650 605,814 745,482 745,494 745,506 892,494 1,059,066 1,371,258 2,024,550 — unresolved within range

Continued fraction of √n

√136,002 = [368; (1, 3, 1, 1, 1, 3, 1, 1, 9, 1, 4, 1, 4, 3, 17, 1, 2, 9, 1, 3, 4, 6, 4, 3, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand two
Ordinal
136002nd
Binary
100001001101000010
Octal
411502
Hexadecimal
0x21342
Base64
AhNC
One's complement
4,294,831,293 (32-bit)
Scientific notation
1.36002 × 10⁵
As a duration
136,002 s = 1 day, 13 hours, 46 minutes, 42 seconds
In other bases
ternary (3) 20220120010
quaternary (4) 201031002
quinary (5) 13323002
senary (6) 2525350
septenary (7) 1104336
nonary (9) 226503
undecimal (11) 931a9
duodecimal (12) 66856
tridecimal (13) 49b99
tetradecimal (14) 377c6
pentadecimal (15) 2a46c

As an angle

136,002° = 377 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺
Greek (Milesian)
͵ρλϛβʹ
Mayan (base 20)
𝋱·𝋠·𝋠·𝋢
Chinese
一十三萬六千零二
Chinese (financial)
壹拾參萬陸仟零貳
In other modern scripts
Eastern Arabic ١٣٦٠٠٢ Devanagari १३६००२ Bengali ১৩৬০০২ Tamil ௧௩௬௦௦௨ Thai ๑๓๖๐๐๒ Tibetan ༡༣༦༠༠༢ Khmer ១៣៦០០២ Lao ໑໓໖໐໐໒ Burmese ၁၃၆၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136002, here are decompositions:

  • 23 + 135979 = 136002
  • 73 + 135929 = 136002
  • 89 + 135913 = 136002
  • 103 + 135899 = 136002
  • 109 + 135893 = 136002
  • 151 + 135851 = 136002
  • 173 + 135829 = 136002
  • 271 + 135731 = 136002

Showing the first eight; more decompositions exist.

Unicode codepoint
𡍂
CJK Unified Ideograph-21342
U+21342
Other letter (Lo)

UTF-8 encoding: F0 A1 8D 82 (4 bytes).

Hex color
#021342
RGB(2, 19, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.66.

Address
0.2.19.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.66

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 136,002 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 136002 first appears in π at position 707,982 of the decimal expansion (the 707,982ordinal-suffix:nd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.