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133,665

133,665 is a composite number, 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.).

133,665 (one hundred thirty-three thousand six hundred sixty-five) is an odd 6-digit number. It is a composite number with 32 divisors, and factors as 3 × 5 × 7 × 19 × 67. Written other ways, in hexadecimal, 0x20A21.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
24
Digit product
1,620
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
566,331
Square (n²)
17,866,332,225
Cube (n³)
2,388,103,296,854,625
Divisor count
32
σ(n) — sum of divisors
261,120
φ(n) — Euler's totient
57,024
Sum of prime factors
101

Primality

Prime factorization: 3 × 5 × 7 × 19 × 67

Nearest primes: 133,657 (−8) · 133,669 (+4)

Divisors & multiples

All divisors (32)
1 · 3 · 5 · 7 · 15 · 19 · 21 · 35 · 57 · 67 · 95 · 105 · 133 · 201 · 285 · 335 · 399 · 469 · 665 · 1005 · 1273 · 1407 · 1995 · 2345 · 3819 · 6365 · 7035 · 8911 · 19095 · 26733 · 44555 · 133665
Aliquot sum (sum of proper divisors): 127,455
Factor pairs (a × b = 133,665)
1 × 133665
3 × 44555
5 × 26733
7 × 19095
15 × 8911
19 × 7035
21 × 6365
35 × 3819
57 × 2345
67 × 1995
95 × 1407
105 × 1273
133 × 1005
201 × 665
285 × 469
335 × 399
First multiples
133,665 · 267,330 (double) · 400,995 · 534,660 · 668,325 · 801,990 · 935,655 · 1,069,320 · 1,202,985 · 1,336,650

Sums & aliquot sequence

As consecutive integers: 66,832 + 66,833 44,554 + 44,555 + 44,556 26,731 + 26,732 + 26,733 + 26,734 + 26,735 22,275 + 22,276 + 22,277 + 22,278 + 22,279 + 22,280
Aliquot sequence: 133,665 127,455 84,225 55,151 553 87 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√133,665 = [365; (1, 1, 1, 1, 17, 4, 3, 1, 2, 2, 2, 45, 3, 2, 10, 5, 1, 17, 1, 10, 2, 10, 1, 17, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred sixty-five
Ordinal
133665th
Binary
100000101000100001
Octal
405041
Hexadecimal
0x20A21
Base64
Agoh
One's complement
4,294,833,630 (32-bit)
Scientific notation
1.33665 × 10⁵
As a duration
133,665 s = 1 day, 13 hours, 7 minutes, 45 seconds
In other bases
ternary (3) 20210100120
quaternary (4) 200220201
quinary (5) 13234130
senary (6) 2510453
septenary (7) 1064460
nonary (9) 223316
undecimal (11) 91474
duodecimal (12) 65429
tridecimal (13) 48abc
tetradecimal (14) 369d7
pentadecimal (15) 29910

As an angle

133,665° = 371 × 360° + 105°
105° ≈ 1.833 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχξεʹ
Mayan (base 20)
𝋰·𝋮·𝋣·𝋥
Chinese
一十三萬三千六百六十五
Chinese (financial)
壹拾參萬參仟陸佰陸拾伍
In other modern scripts
Eastern Arabic ١٣٣٦٦٥ Devanagari १३३६६५ Bengali ১৩৩৬৬৫ Tamil ௧௩௩௬௬௫ Thai ๑๓๓๖๖๕ Tibetan ༡༣༣༦༦༥ Khmer ១៣៣៦៦៥ Lao ໑໓໓໖໖໕ Burmese ၁၃၃၆၆၅

Also seen as

Unicode codepoint
𠨡
CJK Unified Ideograph-20A21
U+20A21
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 A1 (4 bytes).

Hex color
#020A21
RGB(2, 10, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.33.

Address
0.2.10.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.33

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 133,665 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 133665 first appears in π at position 323,422 of the decimal expansion (the 323,422ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.