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133,439

133,439 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.).

133,439 (one hundred thirty-three thousand four hundred thirty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2093F.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
972
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
934,331
Recamán's sequence
a(35,538) = 133,439
Square (n²)
17,805,966,721
Cube (n³)
2,376,010,393,283,519
Divisor count
2
σ(n) — sum of divisors
133,440
φ(n) — Euler's totient
133,438

Primality

133,439 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133439
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,439)
1 × 133439
First multiples
133,439 · 266,878 (double) · 400,317 · 533,756 · 667,195 · 800,634 · 934,073 · 1,067,512 · 1,200,951 · 1,334,390

Sums & aliquot sequence

As consecutive integers: 66,719 + 66,720

Continued fraction of √n

√133,439 = [365; (3, 2, 2, 2, 1, 3, 1, 1, 14, 1, 65, 2, 12, 1, 3, 1, 2, 3, 4, 1, 5, 1, 1, 5, …)]

Representations

In words
one hundred thirty-three thousand four hundred thirty-nine
Ordinal
133439th
Binary
100000100100111111
Octal
404477
Hexadecimal
0x2093F
Base64
Agk/
One's complement
4,294,833,856 (32-bit)
Scientific notation
1.33439 × 10⁵
As a duration
133,439 s = 1 day, 13 hours, 3 minutes, 59 seconds
In other bases
ternary (3) 20210001012
quaternary (4) 200210333
quinary (5) 13232224
senary (6) 2505435
septenary (7) 1064015
nonary (9) 223035
undecimal (11) 91289
duodecimal (12) 6527b
tridecimal (13) 48977
tetradecimal (14) 368b5
pentadecimal (15) 2980e

As an angle

133,439° = 370 × 360° + 239°
239° ≈ 4.171 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυλθʹ
Mayan (base 20)
𝋰·𝋭·𝋫·𝋳
Chinese
一十三萬三千四百三十九
Chinese (financial)
壹拾參萬參仟肆佰參拾玖
In other modern scripts
Eastern Arabic ١٣٣٤٣٩ Devanagari १३३४३९ Bengali ১৩৩৪৩৯ Tamil ௧௩௩௪௩௯ Thai ๑๓๓๔๓๙ Tibetan ༡༣༣༤༣༩ Khmer ១៣៣៤៣៩ Lao ໑໓໓໔໓໙ Burmese ၁၃၃၄၃၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠤿
CJK Unified Ideograph-2093F
U+2093F
Other letter (Lo)

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

Hex color
#02093F
RGB(2, 9, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.63.

Address
0.2.9.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.63

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 133,439 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.