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133,301

133,301 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.).

133,301 (one hundred thirty-three thousand three hundred one) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 7 × 137 × 139. Written other ways, in hexadecimal, 0x208B5.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
103,331
Recamán's sequence
a(35,262) = 133,301
Square (n²)
17,769,156,601
Cube (n³)
2,368,646,344,069,901
Divisor count
8
σ(n) — sum of divisors
154,560
φ(n) — Euler's totient
112,608
Sum of prime factors
283

Primality

Prime factorization: 7 × 137 × 139

Nearest primes: 133,283 (−18) · 133,303 (+2)

Divisors & multiples

All divisors (8)
1 · 7 · 137 · 139 · 959 · 973 · 19043 · 133301
Aliquot sum (sum of proper divisors): 21,259
Factor pairs (a × b = 133,301)
1 × 133301
7 × 19043
137 × 973
139 × 959
First multiples
133,301 · 266,602 (double) · 399,903 · 533,204 · 666,505 · 799,806 · 933,107 · 1,066,408 · 1,199,709 · 1,333,010

Sums & aliquot sequence

As consecutive integers: 66,650 + 66,651 19,040 + 19,041 + … + 19,046 9,515 + 9,516 + … + 9,528 905 + 906 + … + 1,041
Aliquot sequence: 133,301 21,259 3,045 2,715 1,653 747 345 231 153 81 40 50 43 1 0 — terminates at zero

Continued fraction of √n

√133,301 = [365; (9, 1, 1, 1, 1, 5, 2, 3, 9, 1, 2, 2, 38, 182, 1, 1, 9, 9, 2, 1, 1, 1, 4, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred one
Ordinal
133301st
Binary
100000100010110101
Octal
404265
Hexadecimal
0x208B5
Base64
Agi1
One's complement
4,294,833,994 (32-bit)
Scientific notation
1.33301 × 10⁵
As a duration
133,301 s = 1 day, 13 hours, 1 minute, 41 seconds
In other bases
ternary (3) 20202212002
quaternary (4) 200202311
quinary (5) 13231201
senary (6) 2505045
septenary (7) 1063430
nonary (9) 222762
undecimal (11) 91173
duodecimal (12) 65185
tridecimal (13) 4889c
tetradecimal (14) 36817
pentadecimal (15) 2976b

As an angle

133,301° = 370 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλγταʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋡
Chinese
一十三萬三千三百零一
Chinese (financial)
壹拾參萬參仟參佰零壹
In other modern scripts
Eastern Arabic ١٣٣٣٠١ Devanagari १३३३०१ Bengali ১৩৩৩০১ Tamil ௧௩௩௩௦௧ Thai ๑๓๓๓๐๑ Tibetan ༡༣༣༣༠༡ Khmer ១៣៣៣០១ Lao ໑໓໓໓໐໑ Burmese ၁၃၃၃၀၁

Also seen as

Unicode codepoint
𠢵
CJK Unified Ideograph-208B5
U+208B5
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 B5 (4 bytes).

Hex color
#0208B5
RGB(2, 8, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.181.

Address
0.2.8.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.181

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 133,301 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 133301 first appears in π at position 543,712 of the decimal expansion (the 543,712ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.