Live analysis

132,002

132,002 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.).

132,002 (one hundred thirty-two thousand two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 13 × 5,077. Written other ways, in hexadecimal, 0x203A2.

Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

131,990 131,991 131,992 131,993 131,994 131,995 131,996 131,997 131,998 131,999 132,000 132,001 132,002 132,003 132,004 132,005 132,006 132,007 132,008 132,009 132,010 132,011 132,012 132,013 132,014

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 18 bits
Reversed: 200,231
Recamán's sequence: a(228,368) = 132,002
Square (n²): 17,424,528,004
Cube (n³): 2,300,072,545,584,008
Divisor count: 8
σ(n) — sum of divisors: 213,276
φ(n) — Euler's totient: 60,912
Sum of prime factors: 5,092

Primality

Prime factorization: 2 × 13 × 5077

Nearest primes: 132,001 (−1) · 132,019 (+17)

Divisors & multiples

All divisors (8)

1 · 2 · 13 · 26 · 5077 · 10154 · 66001 (half) · 132002

Aliquot sum (sum of proper divisors): 81,274

Factor pairs (a × b = 132,002)

1 × 132002

2 × 66001

13 × 10154

26 × 5077

First multiples

132,002 · 264,004 (double) · 396,006 · 528,008 · 660,010 · 792,012 · 924,014 · 1,056,016 · 1,188,018 · 1,320,020

Sums & aliquot sequence

As a sum of two squares: 41² + 361² = 101² + 349²

As consecutive integers: 32,999 + 33,000 + 33,001 + 33,002 10,148 + 10,149 + … + 10,160 2,513 + 2,514 + … + 2,564

Aliquot sequence: 132,002 → 81,274 → 40,640 → 56,896 → 73,152 → 138,176 → 154,432 → 170,688 → 349,504 → 365,760 → 902,208 → 1,568,704 → 1,584,960 → 3,877,056 → 7,534,656 → 14,443,456 → 14,459,712 — unresolved within range

Continued fraction of √n

√132,002 = [363; (3, 8, 1, 1, 8, 3, 726)]

Period length 7 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-two thousand two
Ordinal: 132002nd
Binary: 100000001110100010
Octal: 401642
Hexadecimal: 0x203A2
Base64: AgOi
One's complement: 4,294,835,293 (32-bit)
Scientific notation: 1.32002 × 10⁵
As a duration: 132,002 s = 1 day, 12 hours, 40 minutes, 2 seconds

In other bases

ternary (3) 20201001222

quaternary (4) 200032202

quinary (5) 13211002

senary (6) 2455042

septenary (7) 1056563

nonary (9) 221058

undecimal (11) 901a2

duodecimal (12) 64482

tridecimal (13) 48110

tetradecimal (14) 3616a

pentadecimal (15) 291a2

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓏺𓏺
Greek (Milesian): ͵ρλββʹ
Mayan (base 20): 𝋰·𝋪·𝋠·𝋢
Chinese: 一十三萬二千零二
Chinese (financial): 壹拾參萬貳仟零貳

In other modern scripts

Eastern Arabic ١٣٢٠٠٢ Devanagari १३२००२ Bengali ১৩২০০২ Tamil ௧௩௨௦௦௨ Thai ๑๓๒๐๐๒ Tibetan ༡༣༢༠༠༢ Khmer ១៣២០០២ Lao ໑໓໒໐໐໒ Burmese ၁၃၂၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132002, here are decompositions:

43 + 131959 = 132002
61 + 131941 = 132002
103 + 131899 = 132002
109 + 131893 = 132002
163 + 131839 = 132002
223 + 131779 = 132002
271 + 131731 = 132002
331 + 131671 = 132002

Showing the first eight; more decompositions exist.

Unicode codepoint

𠎢

CJK Unified Ideograph-203A2

U+203A2

Other letter (Lo)

UTF-8 encoding: F0 A0 8E A2 (4 bytes).

Lookup U+203A2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0203A2

RGB(2, 3, 162)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.162.

Address: 0.2.3.162
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.3.162

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 132,002 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 US132,002 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 132002 first appears in π at position 574,616 of the decimal expansion (the 574,616ordinal-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 132002 on Pi Search ↗