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133,949

133,949 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.).

133,949 (one hundred thirty-three thousand nine hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20B3D.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
2,916
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
949,331
Square (n²)
17,942,334,601
Cube (n³)
2,403,357,777,469,349
Divisor count
2
σ(n) — sum of divisors
133,950
φ(n) — Euler's totient
133,948

Primality

133,949 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133949
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,949)
1 × 133949
First multiples
133,949 · 267,898 (double) · 401,847 · 535,796 · 669,745 · 803,694 · 937,643 · 1,071,592 · 1,205,541 · 1,339,490

Sums & aliquot sequence

As a sum of two squares: 107² + 350²
As consecutive integers: 66,974 + 66,975

Continued fraction of √n

√133,949 = [365; (1, 103, 1, 1, 3, 14, 1, 1, 1, 7, 2, 1, 1, 1, 1, 55, 1, 2, 4, 7, 1, 4, 2, 1, …)]

Representations

In words
one hundred thirty-three thousand nine hundred forty-nine
Ordinal
133949th
Binary
100000101100111101
Octal
405475
Hexadecimal
0x20B3D
Base64
Ags9
One's complement
4,294,833,346 (32-bit)
Scientific notation
1.33949 × 10⁵
As a duration
133,949 s = 1 day, 13 hours, 12 minutes, 29 seconds
In other bases
ternary (3) 20210202002
quaternary (4) 200230331
quinary (5) 13241244
senary (6) 2512045
septenary (7) 1065344
nonary (9) 223662
undecimal (11) 91702
duodecimal (12) 65625
tridecimal (13) 48c7a
tetradecimal (14) 36b5b
pentadecimal (15) 29a4e

As an angle

133,949° = 372 × 360° + 29°
29° ≈ 0.506 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡμθʹ
Mayan (base 20)
𝋰·𝋮·𝋱·𝋩
Chinese
一十三萬三千九百四十九
Chinese (financial)
壹拾參萬參仟玖佰肆拾玖
In other modern scripts
Eastern Arabic ١٣٣٩٤٩ Devanagari १३३९४९ Bengali ১৩৩৯৪৯ Tamil ௧௩௩௯௪௯ Thai ๑๓๓๙๔๙ Tibetan ༡༣༣༩༤༩ Khmer ១៣៣៩៤៩ Lao ໑໓໓໙໔໙ Burmese ၁၃၃၉၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠬽
CJK Unified Ideograph-20B3D
U+20B3D
Other letter (Lo)

UTF-8 encoding: F0 A0 AC BD (4 bytes).

Hex color
#020B3D
RGB(2, 11, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.61.

Address
0.2.11.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.61

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 133,949 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.