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133,709

133,709 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.).

133,709 (one hundred thirty-three thousand seven hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20A4D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
907,331
Square (n²)
17,878,096,681
Cube (n³)
2,390,462,429,119,829
Divisor count
2
σ(n) — sum of divisors
133,710
φ(n) — Euler's totient
133,708

Primality

133,709 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133709
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,709)
1 × 133709
First multiples
133,709 · 267,418 (double) · 401,127 · 534,836 · 668,545 · 802,254 · 935,963 · 1,069,672 · 1,203,381 · 1,337,090

Sums & aliquot sequence

As a sum of two squares: 22² + 365²
As consecutive integers: 66,854 + 66,855

Continued fraction of √n

√133,709 = [365; (1, 1, 1, 25, 2, 4, 1, 2, 1, 2, 1, 145, 1, 1, 7, 5, 11, 17, 1, 2, 1, 28, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand seven hundred nine
Ordinal
133709th
Binary
100000101001001101
Octal
405115
Hexadecimal
0x20A4D
Base64
AgpN
One's complement
4,294,833,586 (32-bit)
Scientific notation
1.33709 × 10⁵
As a duration
133,709 s = 1 day, 13 hours, 8 minutes, 29 seconds
In other bases
ternary (3) 20210102012
quaternary (4) 200221031
quinary (5) 13234314
senary (6) 2511005
septenary (7) 1064552
nonary (9) 223365
undecimal (11) 91504
duodecimal (12) 65465
tridecimal (13) 48b24
tetradecimal (14) 36a29
pentadecimal (15) 2993e

As an angle

133,709° = 371 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψθʹ
Mayan (base 20)
𝋰·𝋮·𝋥·𝋩
Chinese
一十三萬三千七百零九
Chinese (financial)
壹拾參萬參仟柒佰零玖
In other modern scripts
Eastern Arabic ١٣٣٧٠٩ Devanagari १३३७०९ Bengali ১৩৩৭০৯ Tamil ௧௩௩௭௦௯ Thai ๑๓๓๗๐๙ Tibetan ༡༣༣༧༠༩ Khmer ១៣៣៧០៩ Lao ໑໓໓໗໐໙ Burmese ၁၃၃၇၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 133711.

Unicode codepoint
𠩍
CJK Unified Ideograph-20A4D
U+20A4D
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 8D (4 bytes).

Hex color
#020A4D
RGB(2, 10, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.77.

Address
0.2.10.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.77

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 133,709 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.