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133,379

133,379 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.).

133,379 (one hundred thirty-three thousand three hundred seventy-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20903.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,701
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
973,331
Recamán's sequence
a(35,418) = 133,379
Square (n²)
17,789,957,641
Cube (n³)
2,372,806,760,198,939
Divisor count
2
σ(n) — sum of divisors
133,380
φ(n) — Euler's totient
133,378

Primality

133,379 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133379
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,379)
1 × 133379
First multiples
133,379 · 266,758 (double) · 400,137 · 533,516 · 666,895 · 800,274 · 933,653 · 1,067,032 · 1,200,411 · 1,333,790

Sums & aliquot sequence

As consecutive integers: 66,689 + 66,690

Continued fraction of √n

√133,379 = [365; (4, 1, 2, 1, 6, 1, 2, 1, 1, 8, 1, 10, 2, 1, 12, 1, 1, 1, 1, 9, 1, 4, 1, 15, …)]

Representations

In words
one hundred thirty-three thousand three hundred seventy-nine
Ordinal
133379th
Binary
100000100100000011
Octal
404403
Hexadecimal
0x20903
Base64
AgkD
One's complement
4,294,833,916 (32-bit)
Scientific notation
1.33379 × 10⁵
As a duration
133,379 s = 1 day, 13 hours, 2 minutes, 59 seconds
In other bases
ternary (3) 20202221222
quaternary (4) 200210003
quinary (5) 13232004
senary (6) 2505255
septenary (7) 1063601
nonary (9) 222858
undecimal (11) 91234
duodecimal (12) 6522b
tridecimal (13) 4892c
tetradecimal (14) 36871
pentadecimal (15) 297be
Palindromic in base 7

As an angle

133,379° = 370 × 360° + 179°
179° ≈ 3.124 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτοθʹ
Mayan (base 20)
𝋰·𝋭·𝋨·𝋳
Chinese
一十三萬三千三百七十九
Chinese (financial)
壹拾參萬參仟參佰柒拾玖
In other modern scripts
Eastern Arabic ١٣٣٣٧٩ Devanagari १३३३७९ Bengali ১৩৩৩৭৯ Tamil ௧௩௩௩௭௯ Thai ๑๓๓๓๗๙ Tibetan ༡༣༣༣༧༩ Khmer ១៣៣៣៧៩ Lao ໑໓໓໓໗໙ Burmese ၁၃၃၃၇၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠤃
CJK Unified Ideograph-20903
U+20903
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 83 (4 bytes).

Hex color
#020903
RGB(2, 9, 3)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.3.

Address
0.2.9.3
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.3

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 133,379 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 133379 first appears in π at position 823,960 of the decimal expansion (the 823,960ordinal-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.