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133,717

133,717 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.).

133,717 (one hundred thirty-three thousand seven hundred seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20A55.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
441
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
717,331
Square (n²)
17,880,236,089
Cube (n³)
2,390,891,529,112,813
Divisor count
2
σ(n) — sum of divisors
133,718
φ(n) — Euler's totient
133,716

Primality

133,717 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133717
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,717)
1 × 133717
First multiples
133,717 · 267,434 (double) · 401,151 · 534,868 · 668,585 · 802,302 · 936,019 · 1,069,736 · 1,203,453 · 1,337,170

Sums & aliquot sequence

As a sum of two squares: 234² + 281²
As consecutive integers: 66,858 + 66,859

Continued fraction of √n

√133,717 = [365; (1, 2, 16, 3, 2, 8, 2, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 8, 1, 2, 1, 1, 6, 66, …)]

Representations

In words
one hundred thirty-three thousand seven hundred seventeen
Ordinal
133717th
Binary
100000101001010101
Octal
405125
Hexadecimal
0x20A55
Base64
AgpV
One's complement
4,294,833,578 (32-bit)
Scientific notation
1.33717 × 10⁵
As a duration
133,717 s = 1 day, 13 hours, 8 minutes, 37 seconds
In other bases
ternary (3) 20210102111
quaternary (4) 200221111
quinary (5) 13234332
senary (6) 2511021
septenary (7) 1064563
nonary (9) 223374
undecimal (11) 91511
duodecimal (12) 65471
tridecimal (13) 48b2c
tetradecimal (14) 36a33
pentadecimal (15) 29947

As an angle

133,717° = 371 × 360° + 157°
157° ≈ 2.74 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψιζʹ
Mayan (base 20)
𝋰·𝋮·𝋥·𝋱
Chinese
一十三萬三千七百一十七
Chinese (financial)
壹拾參萬參仟柒佰壹拾柒
In other modern scripts
Eastern Arabic ١٣٣٧١٧ Devanagari १३३७१७ Bengali ১৩৩৭১৭ Tamil ௧௩௩௭௧௭ Thai ๑๓๓๗๑๗ Tibetan ༡༣༣༧༡༧ Khmer ១៣៣៧១៧ Lao ໑໓໓໗໑໗ Burmese ၁၃၃၇၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 133711, sexy with 133723.

Unicode codepoint
𠩕
CJK Unified Ideograph-20A55
U+20A55
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 95 (4 bytes).

Hex color
#020A55
RGB(2, 10, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.85.

Address
0.2.10.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.85

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 133,717 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 133717 first appears in π at position 833,264 of the decimal expansion (the 833,264ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.