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132,717

132,717 is a composite number, odd.

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.).

132,717 (one hundred thirty-two thousand seven hundred seventeen) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3 × 13 × 41 × 83. Written other ways, in hexadecimal, 0x2066D.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
21
Digit product
294
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
717,231
Square (n²)
17,613,802,089
Cube (n³)
2,337,650,971,845,813
Divisor count
16
σ(n) — sum of divisors
197,568
φ(n) — Euler's totient
78,720
Sum of prime factors
140

Primality

Prime factorization: 3 × 13 × 41 × 83

Nearest primes: 132,709 (−8) · 132,721 (+4)

Divisors & multiples

All divisors (16)
1 · 3 · 13 · 39 · 41 · 83 · 123 · 249 · 533 · 1079 · 1599 · 3237 · 3403 · 10209 · 44239 · 132717
Aliquot sum (sum of proper divisors): 64,851
Factor pairs (a × b = 132,717)
1 × 132717
3 × 44239
13 × 10209
39 × 3403
41 × 3237
83 × 1599
123 × 1079
249 × 533
First multiples
132,717 · 265,434 (double) · 398,151 · 530,868 · 663,585 · 796,302 · 929,019 · 1,061,736 · 1,194,453 · 1,327,170

Sums & aliquot sequence

As consecutive integers: 66,358 + 66,359 44,238 + 44,239 + 44,240 22,117 + 22,118 + 22,119 + 22,120 + 22,121 + 22,122 10,203 + 10,204 + … + 10,215
Aliquot sequence: 132,717 64,851 21,621 7,211 1 0 — terminates at zero

Continued fraction of √n

√132,717 = [364; (3, 3, 2, 1, 1, 1, 1, 13, 1, 2, 18, 2, 1, 13, 1, 1, 1, 1, 2, 3, 3, 728)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred seventeen
Ordinal
132717th
Binary
100000011001101101
Octal
403155
Hexadecimal
0x2066D
Base64
AgZt
One's complement
4,294,834,578 (32-bit)
Scientific notation
1.32717 × 10⁵
As a duration
132,717 s = 1 day, 12 hours, 51 minutes, 57 seconds
In other bases
ternary (3) 20202001110
quaternary (4) 200121231
quinary (5) 13221332
senary (6) 2502233
septenary (7) 1061634
nonary (9) 222043
undecimal (11) 90792
duodecimal (12) 64979
tridecimal (13) 48540
tetradecimal (14) 3651b
pentadecimal (15) 294cc

As an angle

132,717° = 368 × 360° + 237°
237° ≈ 4.136 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψιζʹ
Mayan (base 20)
𝋰·𝋫·𝋯·𝋱
Chinese
一十三萬二千七百一十七
Chinese (financial)
壹拾參萬貳仟柒佰壹拾柒
In other modern scripts
Eastern Arabic ١٣٢٧١٧ Devanagari १३२७१७ Bengali ১৩২৭১৭ Tamil ௧௩௨௭௧௭ Thai ๑๓๒๗๑๗ Tibetan ༡༣༢༧༡༧ Khmer ១៣២៧១៧ Lao ໑໓໒໗໑໗ Burmese ၁၃၂၇၁၇

Also seen as

Unicode codepoint
𠙭
CJK Unified Ideograph-2066D
U+2066D
Other letter (Lo)

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

Hex color
#02066D
RGB(2, 6, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.109.

Address
0.2.6.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.109

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 132,717 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 132717 first appears in π at position 250,972 of the decimal expansion (the 250,972ordinal-suffix:nd 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°.