Live analysis

133,002

133,002 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.).

133,002 (one hundred thirty-three thousand two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2 × 3⁴ × 821. Its proper divisors sum to 165,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2078A.

Abundant Number Happy Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

132,990 132,991 132,992 132,993 132,994 132,995 132,996 132,997 132,998 132,999 133,000 133,001 133,002 133,003 133,004 133,005 133,006 133,007 133,008 133,009 133,010 133,011 133,012 133,013 133,014

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 200,331
Square (n²): 17,689,532,004
Cube (n³): 2,352,743,135,596,008
Divisor count: 20
σ(n) — sum of divisors: 298,386
φ(n) — Euler's totient: 44,280
Sum of prime factors: 835

Primality

Prime factorization: 2 × 3 ⁴ × 821

Nearest primes: 132,989 (−13) · 133,013 (+11)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 81 · 162 · 821 · 1642 · 2463 · 4926 · 7389 · 14778 · 22167 · 44334 · 66501 (half) · 133002

Aliquot sum (sum of proper divisors): 165,384

Factor pairs (a × b = 133,002)

1 × 133002

2 × 66501

3 × 44334

6 × 22167

9 × 14778

18 × 7389

27 × 4926

54 × 2463

81 × 1642

162 × 821

First multiples

133,002 · 266,004 (double) · 399,006 · 532,008 · 665,010 · 798,012 · 931,014 · 1,064,016 · 1,197,018 · 1,330,020

Sums & aliquot sequence

As a sum of two squares: 99² + 351²

As consecutive integers: 44,333 + 44,334 + 44,335 33,249 + 33,250 + 33,251 + 33,252 14,774 + 14,775 + … + 14,782 11,078 + 11,079 + … + 11,089

Aliquot sequence: 133,002 → 165,384 → 282,726 → 339,714 → 427,572 → 721,548 → 1,290,924 → 2,056,196 → 1,542,154 → 892,886 → 516,994 → 292,286 → 153,754 → 80,966 → 40,486 → 22,298 → 11,152 — unresolved within range

Continued fraction of √n

√133,002 = [364; (1, 2, 3, 1, 2, 14, 1, 1, 9, 1, 3, 9, 1, 2, 1, 3, 1, 1, 2, 1, 27, 2, 1, 103, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-three thousand two
Ordinal: 133002nd
Binary: 100000011110001010
Octal: 403612
Hexadecimal: 0x2078A
Base64: AgeK
One's complement: 4,294,834,293 (32-bit)
Scientific notation: 1.33002 × 10⁵
As a duration: 133,002 s = 1 day, 12 hours, 56 minutes, 42 seconds

In other bases

ternary (3) 20202110000

quaternary (4) 200132022

quinary (5) 13224002

senary (6) 2503430

septenary (7) 1062522

nonary (9) 222400

undecimal (11) 90a21

duodecimal (12) 64b76

tridecimal (13) 486cc

tetradecimal (14) 36682

pentadecimal (15) 2961c

As an angle

133,002° = 369 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓏺𓏺
Greek (Milesian): ͵ρλγβʹ
Mayan (base 20): 𝋰·𝋬·𝋪·𝋢
Chinese: 一十三萬三千零二
Chinese (financial): 壹拾參萬參仟零貳

In other modern scripts

Eastern Arabic ١٣٣٠٠٢ Devanagari १३३००२ Bengali ১৩৩০০২ Tamil ௧௩௩௦௦௨ Thai ๑๓๓๐๐๒ Tibetan ༡༣༣༠༠༢ Khmer ១៣៣០០២ Lao ໑໓໓໐໐໒ Burmese ၁၃၃၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133002, here are decompositions:

13 + 132989 = 133002
31 + 132971 = 133002
41 + 132961 = 133002
53 + 132949 = 133002
73 + 132929 = 133002
109 + 132893 = 133002
139 + 132863 = 133002
151 + 132851 = 133002

Showing the first eight; more decompositions exist.

Unicode codepoint

𠞊

CJK Unified Ideograph-2078A

U+2078A

Other letter (Lo)

UTF-8 encoding: F0 A0 9E 8A (4 bytes).

Lookup U+2078A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02078A

RGB(2, 7, 138)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.138.

Address: 0.2.7.138
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.7.138

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 133,002 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 US133,002 on Google Patents ↗ Look up on USPTO ↗