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132,312

132,312 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.).

132,312 (one hundred thirty-two thousand three hundred twelve) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 37 × 149. Its proper divisors sum to 209,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x204D8.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
36
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
213,231
Recamán's sequence
a(227,748) = 132,312
Square (n²)
17,506,465,344
Cube (n³)
2,316,315,442,595,328
Divisor count
32
σ(n) — sum of divisors
342,000
φ(n) — Euler's totient
42,624
Sum of prime factors
195

Primality

Prime factorization: 2 3 × 3 × 37 × 149

Nearest primes: 132,299 (−13) · 132,313 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 37 · 74 · 111 · 148 · 149 · 222 · 296 · 298 · 444 · 447 · 596 · 888 · 894 · 1192 · 1788 · 3576 · 5513 · 11026 · 16539 · 22052 · 33078 · 44104 · 66156 (half) · 132312
Aliquot sum (sum of proper divisors): 209,688
Factor pairs (a × b = 132,312)
1 × 132312
2 × 66156
3 × 44104
4 × 33078
6 × 22052
8 × 16539
12 × 11026
24 × 5513
37 × 3576
74 × 1788
111 × 1192
148 × 894
149 × 888
222 × 596
296 × 447
298 × 444
First multiples
132,312 · 264,624 (double) · 396,936 · 529,248 · 661,560 · 793,872 · 926,184 · 1,058,496 · 1,190,808 · 1,323,120

Sums & aliquot sequence

As consecutive integers: 44,103 + 44,104 + 44,105 8,262 + 8,263 + … + 8,277 3,558 + 3,559 + … + 3,594 2,733 + 2,734 + … + 2,780
Aliquot sequence: 132,312 209,688 314,592 547,248 976,960 1,437,056 1,480,144 1,426,416 2,258,616 3,387,984 5,364,432 9,648,930 13,508,574 15,098,034 19,411,854 28,992,882 28,992,894 — unresolved within range

Continued fraction of √n

√132,312 = [363; (1, 2, 1, 21, 3, 2, 1, 1, 2, 5, 1, 1, 1, 2, 15, 9, 1, 9, 15, 2, 1, 1, 1, 5, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand three hundred twelve
Ordinal
132312th
Binary
100000010011011000
Octal
402330
Hexadecimal
0x204D8
Base64
AgTY
One's complement
4,294,834,983 (32-bit)
Scientific notation
1.32312 × 10⁵
As a duration
132,312 s = 1 day, 12 hours, 45 minutes, 12 seconds
In other bases
ternary (3) 20201111110
quaternary (4) 200103120
quinary (5) 13213222
senary (6) 2500320
septenary (7) 1060515
nonary (9) 221443
undecimal (11) 90454
duodecimal (12) 646a0
tridecimal (13) 482bb
tetradecimal (14) 3630c
pentadecimal (15) 2930c

As an angle

132,312° = 367 × 360° + 192°
192° ≈ 3.351 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλβτιβʹ
Mayan (base 20)
𝋰·𝋪·𝋯·𝋬
Chinese
一十三萬二千三百一十二
Chinese (financial)
壹拾參萬貳仟參佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٢٣١٢ Devanagari १३२३१२ Bengali ১৩২৩১২ Tamil ௧௩௨௩௧௨ Thai ๑๓๒๓๑๒ Tibetan ༡༣༢༣༡༢ Khmer ១៣២៣១២ Lao ໑໓໒໓໑໒ Burmese ၁၃၂၃၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132312, here are decompositions:

  • 13 + 132299 = 132312
  • 29 + 132283 = 132312
  • 71 + 132241 = 132312
  • 79 + 132233 = 132312
  • 83 + 132229 = 132312
  • 113 + 132199 = 132312
  • 139 + 132173 = 132312
  • 199 + 132113 = 132312

Showing the first eight; more decompositions exist.

Unicode codepoint
𠓘
CJK Unified Ideograph-204D8
U+204D8
Other letter (Lo)

UTF-8 encoding: F0 A0 93 98 (4 bytes).

Hex color
#0204D8
RGB(2, 4, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.216.

Address
0.2.4.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.216

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 132,312 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 132312 first appears in π at position 476,984 of the decimal expansion (the 476,984ordinal-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

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