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132,702

132,702 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.).

132,702 (one hundred thirty-two thousand seven hundred two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 17 × 1,301. Its proper divisors sum to 148,530, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2065E.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
207,231
Square (n²)
17,609,820,804
Cube (n³)
2,336,858,440,332,408
Divisor count
16
σ(n) — sum of divisors
281,232
φ(n) — Euler's totient
41,600
Sum of prime factors
1,323

Primality

Prime factorization: 2 × 3 × 17 × 1301

Nearest primes: 132,701 (−1) · 132,707 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 17 · 34 · 51 · 102 · 1301 · 2602 · 3903 · 7806 · 22117 · 44234 · 66351 (half) · 132702
Aliquot sum (sum of proper divisors): 148,530
Factor pairs (a × b = 132,702)
1 × 132702
2 × 66351
3 × 44234
6 × 22117
17 × 7806
34 × 3903
51 × 2602
102 × 1301
First multiples
132,702 · 265,404 (double) · 398,106 · 530,808 · 663,510 · 796,212 · 928,914 · 1,061,616 · 1,194,318 · 1,327,020

Sums & aliquot sequence

As consecutive integers: 44,233 + 44,234 + 44,235 33,174 + 33,175 + 33,176 + 33,177 11,053 + 11,054 + … + 11,064 7,798 + 7,799 + … + 7,814
Aliquot sequence: 132,702 148,530 208,014 219,714 259,806 310,434 330,846 341,538 341,550 729,810 1,387,206 1,721,526 1,734,474 2,300,982 2,347,770 3,286,950 5,350,890 — unresolved within range

Continued fraction of √n

√132,702 = [364; (3, 1, 1, 6, 1, 1, 3, 728)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred two
Ordinal
132702nd
Binary
100000011001011110
Octal
403136
Hexadecimal
0x2065E
Base64
AgZe
One's complement
4,294,834,593 (32-bit)
Scientific notation
1.32702 × 10⁵
As a duration
132,702 s = 1 day, 12 hours, 51 minutes, 42 seconds
In other bases
ternary (3) 20202000220
quaternary (4) 200121132
quinary (5) 13221302
senary (6) 2502210
septenary (7) 1061613
nonary (9) 222026
undecimal (11) 90779
duodecimal (12) 64966
tridecimal (13) 4852b
tetradecimal (14) 3650a
pentadecimal (15) 294bc

As an angle

132,702° = 368 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρλβψβʹ
Mayan (base 20)
𝋰·𝋫·𝋯·𝋢
Chinese
一十三萬二千七百零二
Chinese (financial)
壹拾參萬貳仟柒佰零貳
In other modern scripts
Eastern Arabic ١٣٢٧٠٢ Devanagari १३२७०२ Bengali ১৩২৭০২ Tamil ௧௩௨௭௦௨ Thai ๑๓๒๗๐๒ Tibetan ༡༣༢༧༠༢ Khmer ១៣២៧០២ Lao ໑໓໒໗໐໒ Burmese ၁၃၂၇၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132702, here are decompositions:

  • 5 + 132697 = 132702
  • 13 + 132689 = 132702
  • 23 + 132679 = 132702
  • 41 + 132661 = 132702
  • 71 + 132631 = 132702
  • 79 + 132623 = 132702
  • 83 + 132619 = 132702
  • 113 + 132589 = 132702

Showing the first eight; more decompositions exist.

Unicode codepoint
𠙞
CJK Unified Ideograph-2065E
U+2065E
Other letter (Lo)

UTF-8 encoding: F0 A0 99 9E (4 bytes).

Hex color
#02065E
RGB(2, 6, 94)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.94.

Address
0.2.6.94
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.94

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 132,702 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 132702 first appears in π at position 165,040 of the decimal expansion (the 165,040ordinal-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°.