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132,707

132,707 is a prime, 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.).

132,707 (one hundred thirty-two thousand seven hundred seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20663.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
707,231
Square (n²)
17,611,147,849
Cube (n³)
2,337,122,597,597,243
Divisor count
2
σ(n) — sum of divisors
132,708
φ(n) — Euler's totient
132,706

Primality

132,707 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132707
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,707)
1 × 132707
First multiples
132,707 · 265,414 (double) · 398,121 · 530,828 · 663,535 · 796,242 · 928,949 · 1,061,656 · 1,194,363 · 1,327,070

Sums & aliquot sequence

As consecutive integers: 66,353 + 66,354

Continued fraction of √n

√132,707 = [364; (3, 2, 4, 1, 1, 1, 363, 1, 1, 1, 4, 2, 3, 728)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred seven
Ordinal
132707th
Binary
100000011001100011
Octal
403143
Hexadecimal
0x20663
Base64
AgZj
One's complement
4,294,834,588 (32-bit)
Scientific notation
1.32707 × 10⁵
As a duration
132,707 s = 1 day, 12 hours, 51 minutes, 47 seconds
In other bases
ternary (3) 20202001002
quaternary (4) 200121203
quinary (5) 13221312
senary (6) 2502215
septenary (7) 1061621
nonary (9) 222032
undecimal (11) 90783
duodecimal (12) 6496b
tridecimal (13) 48533
tetradecimal (14) 36511
pentadecimal (15) 294c2

As an angle

132,707° = 368 × 360° + 227°
227° ≈ 3.962 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψζʹ
Mayan (base 20)
𝋰·𝋫·𝋯·𝋧
Chinese
一十三萬二千七百零七
Chinese (financial)
壹拾參萬貳仟柒佰零柒
In other modern scripts
Eastern Arabic ١٣٢٧٠٧ Devanagari १३२७०७ Bengali ১৩২৭০৭ Tamil ௧௩௨௭௦௭ Thai ๑๓๒๗๐๗ Tibetan ༡༣༢༧༠༧ Khmer ១៣២៧០៧ Lao ໑໓໒໗໐໗ Burmese ၁၃၂၇၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 132709, sexy with 132701.

Unicode codepoint
𠙣
CJK Unified Ideograph-20663
U+20663
Other letter (Lo)

UTF-8 encoding: F0 A0 99 A3 (4 bytes).

Hex color
#020663
RGB(2, 6, 99)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.99.

Address
0.2.6.99
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.99

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 132,707 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 132707 first appears in π at position 701,922 of the decimal expansion (the 701,922ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.