Live analysis

132,006

132,006 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.).

132,006 (one hundred thirty-two thousand six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3 × 7² × 449. Its proper divisors sum to 175,794, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x203A6.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

131,994 131,995 131,996 131,997 131,998 131,999 132,000 132,001 132,002 132,003 132,004 132,005 132,006 132,007 132,008 132,009 132,010 132,011 132,012 132,013 132,014 132,015 132,016 132,017 132,018

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 600,231
Recamán's sequence: a(228,360) = 132,006
Square (n²): 17,425,584,036
Cube (n³): 2,300,281,646,256,216
Divisor count: 24
σ(n) — sum of divisors: 307,800
φ(n) — Euler's totient: 37,632
Sum of prime factors: 468

Primality

Prime factorization: 2 × 3 × 7 ² × 449

Nearest primes: 132,001 (−5) · 132,019 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 49 · 98 · 147 · 294 · 449 · 898 · 1347 · 2694 · 3143 · 6286 · 9429 · 18858 · 22001 · 44002 · 66003 (half) · 132006

Aliquot sum (sum of proper divisors): 175,794

Factor pairs (a × b = 132,006)

1 × 132006

2 × 66003

3 × 44002

6 × 22001

7 × 18858

14 × 9429

21 × 6286

42 × 3143

49 × 2694

98 × 1347

147 × 898

294 × 449

First multiples

132,006 · 264,012 (double) · 396,018 · 528,024 · 660,030 · 792,036 · 924,042 · 1,056,048 · 1,188,054 · 1,320,060

Sums & aliquot sequence

As consecutive integers: 44,001 + 44,002 + 44,003 33,000 + 33,001 + 33,002 + 33,003 18,855 + 18,856 + … + 18,861 10,995 + 10,996 + … + 11,006

Aliquot sequence: 132,006 → 175,794 → 181,038 → 246,354 → 272,526 → 283,458 → 404,286 → 423,618 → 488,958 → 496,002 → 572,478 → 572,490 → 916,218 → 1,278,342 → 1,811,514 → 1,951,206 → 1,951,218 — unresolved within range

Continued fraction of √n

√132,006 = [363; (3, 15, 2, 6, 2, 1, 2, 3, 1, 1, 6, 1, 5, 1, 2, 8, 1, 28, 5, 1, 3, 1, 1, 14, …)]

Representations

In words: one hundred thirty-two thousand six
Ordinal: 132006th
Binary: 100000001110100110
Octal: 401646
Hexadecimal: 0x203A6
Base64: AgOm
One's complement: 4,294,835,289 (32-bit)
Scientific notation: 1.32006 × 10⁵
As a duration: 132,006 s = 1 day, 12 hours, 40 minutes, 6 seconds

In other bases

ternary (3) 20201002010

quaternary (4) 200032212

quinary (5) 13211011

senary (6) 2455050

septenary (7) 1056600

nonary (9) 221063

undecimal (11) 901a6

duodecimal (12) 64486

tridecimal (13) 48114

tetradecimal (14) 36170

pentadecimal (15) 291a6

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλβϛʹ
Mayan (base 20): 𝋰·𝋪·𝋠·𝋦
Chinese: 一十三萬二千零六
Chinese (financial): 壹拾參萬貳仟零陸

In other modern scripts

Eastern Arabic ١٣٢٠٠٦ Devanagari १३२००६ Bengali ১৩২০০৬ Tamil ௧௩௨௦௦௬ Thai ๑๓๒๐๐๖ Tibetan ༡༣༢༠༠༦ Khmer ១៣២០០៦ Lao ໑໓໒໐໐໖ Burmese ၁၃၂၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132006, here are decompositions:

5 + 132001 = 132006
37 + 131969 = 132006
47 + 131959 = 132006
59 + 131947 = 132006
67 + 131939 = 132006
73 + 131933 = 132006
79 + 131927 = 132006
97 + 131909 = 132006

Showing the first eight; more decompositions exist.

Unicode codepoint

𠎦

CJK Unified Ideograph-203A6

U+203A6

Other letter (Lo)

UTF-8 encoding: F0 A0 8E A6 (4 bytes).

Lookup U+203A6 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0203A6

RGB(2, 3, 166)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.166.

Address: 0.2.3.166
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.3.166

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 132,006 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US132,006 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 132006 first appears in π at position 305,975 of the decimal expansion (the 305,975ordinal-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.

Look up 132006 on Pi Search ↗