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132,047

132,047 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.).

132,047 (one hundred thirty-two thousand forty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x203CF.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
740,231
Recamán's sequence
a(228,278) = 132,047
Square (n²)
17,436,410,209
Cube (n³)
2,302,425,658,867,823
Divisor count
2
σ(n) — sum of divisors
132,048
φ(n) — Euler's totient
132,046

Primality

132,047 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132047
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,047)
1 × 132047
First multiples
132,047 · 264,094 (double) · 396,141 · 528,188 · 660,235 · 792,282 · 924,329 · 1,056,376 · 1,188,423 · 1,320,470

Sums & aliquot sequence

As consecutive integers: 66,023 + 66,024

Continued fraction of √n

√132,047 = [363; (2, 1, 1, 1, 1, 2, 1, 1, 65, 2, 22, 1, 18, 5, 1, 20, 1, 1, 5, 1, 1, 1, 5, 13, …)]

Representations

In words
one hundred thirty-two thousand forty-seven
Ordinal
132047th
Binary
100000001111001111
Octal
401717
Hexadecimal
0x203CF
Base64
AgPP
One's complement
4,294,835,248 (32-bit)
Scientific notation
1.32047 × 10⁵
As a duration
132,047 s = 1 day, 12 hours, 40 minutes, 47 seconds
In other bases
ternary (3) 20201010122
quaternary (4) 200033033
quinary (5) 13211142
senary (6) 2455155
septenary (7) 1056656
nonary (9) 221118
undecimal (11) 90233
duodecimal (12) 644bb
tridecimal (13) 48146
tetradecimal (14) 3619d
pentadecimal (15) 291d2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβμζʹ
Mayan (base 20)
𝋰·𝋪·𝋢·𝋧
Chinese
一十三萬二千零四十七
Chinese (financial)
壹拾參萬貳仟零肆拾柒
In other modern scripts
Eastern Arabic ١٣٢٠٤٧ Devanagari १३२०४७ Bengali ১৩২০৪৭ Tamil ௧௩௨௦௪௭ Thai ๑๓๒๐๔๗ Tibetan ༡༣༢༠༤༧ Khmer ១៣២០៤៧ Lao ໑໓໒໐໔໗ Burmese ၁၃၂၀၄၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 132049.

Unicode codepoint
𠏏
CJK Unified Ideograph-203Cf
U+203CF
Other letter (Lo)

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

Hex color
#0203CF
RGB(2, 3, 207)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.207.

Address
0.2.3.207
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.207

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 132,047 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 132047 first appears in π at position 736,044 of the decimal expansion (the 736,044ordinal-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

  • 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.