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133,391

133,391 is a prime, 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.).

133,391 (one hundred thirty-three thousand three hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2090F.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
243
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
193,331
Recamán's sequence
a(35,442) = 133,391
Square (n²)
17,793,158,881
Cube (n³)
2,373,447,256,295,471
Divisor count
2
σ(n) — sum of divisors
133,392
φ(n) — Euler's totient
133,390

Primality

133,391 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133391
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,391)
1 × 133391
First multiples
133,391 · 266,782 (double) · 400,173 · 533,564 · 666,955 · 800,346 · 933,737 · 1,067,128 · 1,200,519 · 1,333,910

Sums & aliquot sequence

As consecutive integers: 66,695 + 66,696

Continued fraction of √n

√133,391 = [365; (4, 2, 1, 1, 37, 1, 5, 1, 5, 1, 3, 1, 1, 1, 2, 6, 1, 5, 1, 5, 7, 1, 1, 13, …)]

Representations

In words
one hundred thirty-three thousand three hundred ninety-one
Ordinal
133391st
Binary
100000100100001111
Octal
404417
Hexadecimal
0x2090F
Base64
AgkP
One's complement
4,294,833,904 (32-bit)
Scientific notation
1.33391 × 10⁵
As a duration
133,391 s = 1 day, 13 hours, 3 minutes, 11 seconds
In other bases
ternary (3) 20202222102
quaternary (4) 200210033
quinary (5) 13232031
senary (6) 2505315
septenary (7) 1063616
nonary (9) 222872
undecimal (11) 91245
duodecimal (12) 6523b
tridecimal (13) 4893b
tetradecimal (14) 3687d
pentadecimal (15) 297cb

As an angle

133,391° = 370 × 360° + 191°
191° ≈ 3.334 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγτϟαʹ
Mayan (base 20)
𝋰·𝋭·𝋩·𝋫
Chinese
一十三萬三千三百九十一
Chinese (financial)
壹拾參萬參仟參佰玖拾壹
In other modern scripts
Eastern Arabic ١٣٣٣٩١ Devanagari १३३३९१ Bengali ১৩৩৩৯১ Tamil ௧௩௩௩௯௧ Thai ๑๓๓๓๙๑ Tibetan ༡༣༣༣༩༡ Khmer ១៣៣៣៩១ Lao ໑໓໓໓໙໑ Burmese ၁၃၃၃၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133387.

Unicode codepoint
𠤏
CJK Unified Ideograph-2090F
U+2090F
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 8F (4 bytes).

Hex color
#02090F
RGB(2, 9, 15)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.15.

Address
0.2.9.15
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.15

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 133,391 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 133391 first appears in π at position 239,780 of the decimal expansion (the 239,780ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.