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132,314

132,314 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.).

132,314 (one hundred thirty-two thousand three hundred fourteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 13 × 727. Written other ways, in hexadecimal, 0x204DA.

Arithmetic Number Cube-Free Deficient Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
72
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
413,231
Recamán's sequence
a(227,744) = 132,314
Square (n²)
17,506,994,596
Cube (n³)
2,316,420,482,975,144
Divisor count
16
σ(n) — sum of divisors
244,608
φ(n) — Euler's totient
52,272
Sum of prime factors
749

Primality

Prime factorization: 2 × 7 × 13 × 727

Nearest primes: 132,313 (−1) · 132,329 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 13 · 14 · 26 · 91 · 182 · 727 · 1454 · 5089 · 9451 · 10178 · 18902 · 66157 (half) · 132314
Aliquot sum (sum of proper divisors): 112,294
Factor pairs (a × b = 132,314)
1 × 132314
2 × 66157
7 × 18902
13 × 10178
14 × 9451
26 × 5089
91 × 1454
182 × 727
First multiples
132,314 · 264,628 (double) · 396,942 · 529,256 · 661,570 · 793,884 · 926,198 · 1,058,512 · 1,190,826 · 1,323,140

Sums & aliquot sequence

As consecutive integers: 33,077 + 33,078 + 33,079 + 33,080 18,899 + 18,900 + … + 18,905 10,172 + 10,173 + … + 10,184 4,712 + 4,713 + … + 4,739
Aliquot sequence: 132,314 112,294 95,354 72,646 51,914 27,034 19,334 13,834 6,920 8,740 11,420 12,604 10,580 12,646 6,326 3,166 1,586 — unresolved within range

Continued fraction of √n

√132,314 = [363; (1, 2, 1, 726)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand three hundred fourteen
Ordinal
132314th
Binary
100000010011011010
Octal
402332
Hexadecimal
0x204DA
Base64
AgTa
One's complement
4,294,834,981 (32-bit)
Scientific notation
1.32314 × 10⁵
As a duration
132,314 s = 1 day, 12 hours, 45 minutes, 14 seconds
In other bases
ternary (3) 20201111112
quaternary (4) 200103122
quinary (5) 13213224
senary (6) 2500322
septenary (7) 1060520
nonary (9) 221445
undecimal (11) 90456
duodecimal (12) 646a2
tridecimal (13) 482c0
tetradecimal (14) 36310
pentadecimal (15) 2930e

As an angle

132,314° = 367 × 360° + 194°
194° ≈ 3.386 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβτιδʹ
Mayan (base 20)
𝋰·𝋪·𝋯·𝋮
Chinese
一十三萬二千三百一十四
Chinese (financial)
壹拾參萬貳仟參佰壹拾肆
In other modern scripts
Eastern Arabic ١٣٢٣١٤ Devanagari १३२३१४ Bengali ১৩২৩১৪ Tamil ௧௩௨௩௧௪ Thai ๑๓๒๓๑๔ Tibetan ༡༣༢༣༡༤ Khmer ១៣២៣១៤ Lao ໑໓໒໓໑໔ Burmese ၁၃၂၃၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132314, here are decompositions:

  • 31 + 132283 = 132314
  • 67 + 132247 = 132314
  • 73 + 132241 = 132314
  • 157 + 132157 = 132314
  • 163 + 132151 = 132314
  • 211 + 132103 = 132314
  • 313 + 132001 = 132314
  • 367 + 131947 = 132314

Showing the first eight; more decompositions exist.

Unicode codepoint
𠓚
CJK Unified Ideograph-204Da
U+204DA
Other letter (Lo)

UTF-8 encoding: F0 A0 93 9A (4 bytes).

Hex color
#0204DA
RGB(2, 4, 218)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.218.

Address
0.2.4.218
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.218

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 132,314 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 132314 first appears in π at position 29,075 of the decimal expansion (the 29,075ordinal-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.