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132,342

132,342 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.).

132,342 (one hundred thirty-two thousand three hundred forty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 23 × 137. Its proper divisors sum to 185,610, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x204F6.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
144
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
243,231
Recamán's sequence
a(227,688) = 132,342
Square (n²)
17,514,404,964
Cube (n³)
2,317,891,381,745,688
Divisor count
32
σ(n) — sum of divisors
317,952
φ(n) — Euler's totient
35,904
Sum of prime factors
172

Primality

Prime factorization: 2 × 3 × 7 × 23 × 137

Nearest primes: 132,331 (−11) · 132,347 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 23 · 42 · 46 · 69 · 137 · 138 · 161 · 274 · 322 · 411 · 483 · 822 · 959 · 966 · 1918 · 2877 · 3151 · 5754 · 6302 · 9453 · 18906 · 22057 · 44114 · 66171 (half) · 132342
Aliquot sum (sum of proper divisors): 185,610
Factor pairs (a × b = 132,342)
1 × 132342
2 × 66171
3 × 44114
6 × 22057
7 × 18906
14 × 9453
21 × 6302
23 × 5754
42 × 3151
46 × 2877
69 × 1918
137 × 966
138 × 959
161 × 822
274 × 483
322 × 411
First multiples
132,342 · 264,684 (double) · 397,026 · 529,368 · 661,710 · 794,052 · 926,394 · 1,058,736 · 1,191,078 · 1,323,420

Sums & aliquot sequence

As consecutive integers: 44,113 + 44,114 + 44,115 33,084 + 33,085 + 33,086 + 33,087 18,903 + 18,904 + … + 18,909 11,023 + 11,024 + … + 11,034
Aliquot sequence: 132,342 185,610 280,950 416,178 652,494 729,474 729,486 1,017,714 1,047,246 1,057,458 1,057,470 1,512,930 2,426,910 3,397,746 4,015,662 5,564,370 9,698,478 — unresolved within range

Continued fraction of √n

√132,342 = [363; (1, 3, 1, 2, 1, 1, 1, 5, 2, 1, 1, 1, 3, 1, 18, 2, 1, 3, 10, 3, 1, 2, 18, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand three hundred forty-two
Ordinal
132342nd
Binary
100000010011110110
Octal
402366
Hexadecimal
0x204F6
Base64
AgT2
One's complement
4,294,834,953 (32-bit)
Scientific notation
1.32342 × 10⁵
As a duration
132,342 s = 1 day, 12 hours, 45 minutes, 42 seconds
In other bases
ternary (3) 20201112120
quaternary (4) 200103312
quinary (5) 13213332
senary (6) 2500410
septenary (7) 1060560
nonary (9) 221476
undecimal (11) 90481
duodecimal (12) 64706
tridecimal (13) 48312
tetradecimal (14) 36330
pentadecimal (15) 2932c

As an angle

132,342° = 367 × 360° + 222°
222° ≈ 3.875 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβτμβʹ
Mayan (base 20)
𝋰·𝋪·𝋱·𝋢
Chinese
一十三萬二千三百四十二
Chinese (financial)
壹拾參萬貳仟參佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٢٣٤٢ Devanagari १३२३४२ Bengali ১৩২৩৪২ Tamil ௧௩௨௩௪௨ Thai ๑๓๒๓๔๒ Tibetan ༡༣༢༣༤༢ Khmer ១៣២៣៤២ Lao ໑໓໒໓໔໒ Burmese ၁၃၂၃၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132342, here are decompositions:

  • 11 + 132331 = 132342
  • 13 + 132329 = 132342
  • 29 + 132313 = 132342
  • 43 + 132299 = 132342
  • 59 + 132283 = 132342
  • 79 + 132263 = 132342
  • 101 + 132241 = 132342
  • 109 + 132233 = 132342

Showing the first eight; more decompositions exist.

Unicode codepoint
𠓶
CJK Unified Ideograph-204F6
U+204F6
Other letter (Lo)

UTF-8 encoding: F0 A0 93 B6 (4 bytes).

Hex color
#0204F6
RGB(2, 4, 246)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.246.

Address
0.2.4.246
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.246

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 132,342 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 132342 first appears in π at position 343,207 of the decimal expansion (the 343,207ordinal-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°.