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132,104

132,104 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.).

132,104 (one hundred thirty-two thousand one hundred four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 7² × 337. Its proper divisors sum to 156,886, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20408.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
401,231
Recamán's sequence
a(228,164) = 132,104
Square (n²)
17,451,466,816
Cube (n³)
2,305,408,572,260,864
Divisor count
24
σ(n) — sum of divisors
288,990
φ(n) — Euler's totient
56,448
Sum of prime factors
357

Primality

Prime factorization: 2 3 × 7 2 × 337

Nearest primes: 132,103 (−1) · 132,109 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 49 · 56 · 98 · 196 · 337 · 392 · 674 · 1348 · 2359 · 2696 · 4718 · 9436 · 16513 · 18872 · 33026 · 66052 (half) · 132104
Aliquot sum (sum of proper divisors): 156,886
Factor pairs (a × b = 132,104)
1 × 132104
2 × 66052
4 × 33026
7 × 18872
8 × 16513
14 × 9436
28 × 4718
49 × 2696
56 × 2359
98 × 1348
196 × 674
337 × 392
First multiples
132,104 · 264,208 (double) · 396,312 · 528,416 · 660,520 · 792,624 · 924,728 · 1,056,832 · 1,188,936 · 1,321,040

Sums & aliquot sequence

As a sum of two squares: 98² + 350²
As consecutive integers: 18,869 + 18,870 + … + 18,875 8,249 + 8,250 + … + 8,264 2,672 + 2,673 + … + 2,720 1,124 + 1,125 + … + 1,235
Aliquot sequence: 132,104 156,886 83,594 62,440 98,840 156,040 206,840 258,640 364,088 329,272 297,128 303,052 231,188 187,552 181,754 105,286 55,418 — unresolved within range

Continued fraction of √n

√132,104 = [363; (2, 5, 1, 13, 1, 89, 1, 13, 1, 5, 2, 726)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand one hundred four
Ordinal
132104th
Binary
100000010000001000
Octal
402010
Hexadecimal
0x20408
Base64
AgQI
One's complement
4,294,835,191 (32-bit)
Scientific notation
1.32104 × 10⁵
As a duration
132,104 s = 1 day, 12 hours, 41 minutes, 44 seconds
In other bases
ternary (3) 20201012202
quaternary (4) 200100020
quinary (5) 13211404
senary (6) 2455332
septenary (7) 1060100
nonary (9) 221182
undecimal (11) 90285
duodecimal (12) 64548
tridecimal (13) 4818b
tetradecimal (14) 36200
pentadecimal (15) 2921e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβρδʹ
Mayan (base 20)
𝋰·𝋪·𝋥·𝋤
Chinese
一十三萬二千一百零四
Chinese (financial)
壹拾參萬貳仟壹佰零肆
In other modern scripts
Eastern Arabic ١٣٢١٠٤ Devanagari १३२१०४ Bengali ১৩২১০৪ Tamil ௧௩௨௧௦௪ Thai ๑๓๒๑๐๔ Tibetan ༡༣༢༡༠༤ Khmer ១៣២១០៤ Lao ໑໓໒໑໐໔ Burmese ၁၃၂၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132104, here are decompositions:

  • 103 + 132001 = 132104
  • 157 + 131947 = 132104
  • 163 + 131941 = 132104
  • 211 + 131893 = 132104
  • 307 + 131797 = 132104
  • 373 + 131731 = 132104
  • 397 + 131707 = 132104
  • 433 + 131671 = 132104

Showing the first eight; more decompositions exist.

Unicode codepoint
𠐈
CJK Unified Ideograph-20408
U+20408
Other letter (Lo)

UTF-8 encoding: F0 A0 90 88 (4 bytes).

Hex color
#020408
RGB(2, 4, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.8.

Address
0.2.4.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.8

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 132,104 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 132104 first appears in π at position 297,345 of the decimal expansion (the 297,345ordinal-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.