number.wiki
Live analysis

132,008

132,008 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.).

132,008 (one hundred thirty-two thousand eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 29 × 569. Written other ways, in hexadecimal, 0x203A8.

Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
800,231
Recamán's sequence
a(228,356) = 132,008
Square (n²)
17,426,112,064
Cube (n³)
2,300,386,201,344,512
Divisor count
16
σ(n) — sum of divisors
256,500
φ(n) — Euler's totient
63,616
Sum of prime factors
604

Primality

Prime factorization: 2 3 × 29 × 569

Nearest primes: 132,001 (−7) · 132,019 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 29 · 58 · 116 · 232 · 569 · 1138 · 2276 · 4552 · 16501 · 33002 · 66004 (half) · 132008
Aliquot sum (sum of proper divisors): 124,492
Factor pairs (a × b = 132,008)
1 × 132008
2 × 66004
4 × 33002
8 × 16501
29 × 4552
58 × 2276
116 × 1138
232 × 569
First multiples
132,008 · 264,016 (double) · 396,024 · 528,032 · 660,040 · 792,048 · 924,056 · 1,056,064 · 1,188,072 · 1,320,080

Sums & aliquot sequence

As a sum of two squares: 62² + 358² = 202² + 302²
As consecutive integers: 8,243 + 8,244 + … + 8,258 4,538 + 4,539 + … + 4,566 53 + 54 + … + 516
Aliquot sequence: 132,008 124,492 93,376 92,044 69,040 91,664 96,940 113,732 85,306 61,358 39,082 19,544 22,456 25,784 27,136 28,106 20,278 — unresolved within range

Continued fraction of √n

√132,008 = [363; (3, 25, 1, 1, 1, 1, 1, 1, 1, 14, 4, 1, 2, 1, 9, 2, 103, 3, 181, 3, 103, 2, 9, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand eight
Ordinal
132008th
Binary
100000001110101000
Octal
401650
Hexadecimal
0x203A8
Base64
AgOo
One's complement
4,294,835,287 (32-bit)
Scientific notation
1.32008 × 10⁵
As a duration
132,008 s = 1 day, 12 hours, 40 minutes, 8 seconds
In other bases
ternary (3) 20201002012
quaternary (4) 200032220
quinary (5) 13211013
senary (6) 2455052
septenary (7) 1056602
nonary (9) 221065
undecimal (11) 901a8
duodecimal (12) 64488
tridecimal (13) 48116
tetradecimal (14) 36172
pentadecimal (15) 291a8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβηʹ
Mayan (base 20)
𝋰·𝋪·𝋠·𝋨
Chinese
一十三萬二千零八
Chinese (financial)
壹拾參萬貳仟零捌
In other modern scripts
Eastern Arabic ١٣٢٠٠٨ Devanagari १३२००८ Bengali ১৩২০০৮ Tamil ௧௩௨௦௦௮ Thai ๑๓๒๐๐๘ Tibetan ༡༣༢༠༠༨ Khmer ១៣២០០៨ Lao ໑໓໒໐໐໘ Burmese ၁၃၂၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132008, here are decompositions:

  • 7 + 132001 = 132008
  • 61 + 131947 = 132008
  • 67 + 131941 = 132008
  • 109 + 131899 = 132008
  • 211 + 131797 = 132008
  • 229 + 131779 = 132008
  • 277 + 131731 = 132008
  • 307 + 131701 = 132008

Showing the first eight; more decompositions exist.

Unicode codepoint
𠎨
CJK Unified Ideograph-203A8
U+203A8
Other letter (Lo)

UTF-8 encoding: F0 A0 8E A8 (4 bytes).

Hex color
#0203A8
RGB(2, 3, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.168.

Address
0.2.3.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.168

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 132,008 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 132008 first appears in π at position 803,536 of the decimal expansion (the 803,536ordinal-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.