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135,533

135,533 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.).

135,533 (one hundred thirty-five thousand five hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2116D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
675
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
335,531
Square (n²)
18,369,194,089
Cube (n³)
2,489,631,982,464,437
Divisor count
2
σ(n) — sum of divisors
135,534
φ(n) — Euler's totient
135,532

Primality

135,533 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135533
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,533)
1 × 135533
First multiples
135,533 · 271,066 (double) · 406,599 · 542,132 · 677,665 · 813,198 · 948,731 · 1,084,264 · 1,219,797 · 1,355,330

Sums & aliquot sequence

As a sum of two squares: 67² + 362²
As consecutive integers: 67,766 + 67,767

Continued fraction of √n

√135,533 = [368; (6, 1, 3, 16, 1, 6, 2, 1, 6, 1, 9, 1, 22, 1, 5, 2, 1, 1, 3, 9, 2, 2, 3, 1, …)]

Representations

In words
one hundred thirty-five thousand five hundred thirty-three
Ordinal
135533rd
Binary
100001000101101101
Octal
410555
Hexadecimal
0x2116D
Base64
AhFt
One's complement
4,294,831,762 (32-bit)
Scientific notation
1.35533 × 10⁵
As a duration
135,533 s = 1 day, 13 hours, 38 minutes, 53 seconds
In other bases
ternary (3) 20212220202
quaternary (4) 201011231
quinary (5) 13314113
senary (6) 2523245
septenary (7) 1103066
nonary (9) 225822
undecimal (11) 92912
duodecimal (12) 66525
tridecimal (13) 498c8
tetradecimal (14) 3756d
pentadecimal (15) 2a258

As an angle

135,533° = 376 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλεφλγʹ
Mayan (base 20)
𝋰·𝋲·𝋰·𝋭
Chinese
一十三萬五千五百三十三
Chinese (financial)
壹拾參萬伍仟伍佰參拾參
In other modern scripts
Eastern Arabic ١٣٥٥٣٣ Devanagari १३५५३३ Bengali ১৩৫৫৩৩ Tamil ௧௩௫௫௩௩ Thai ๑๓๕๕๓๓ Tibetan ༡༣༥༥༣༣ Khmer ១៣៥៥៣៣ Lao ໑໓໕໕໓໓ Burmese ၁၃၅၅၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡅭
CJK Unified Ideograph-2116D
U+2116D
Other letter (Lo)

UTF-8 encoding: F0 A1 85 AD (4 bytes).

Hex color
#02116D
RGB(2, 17, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.109.

Address
0.2.17.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.109

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 135,533 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 135533 first appears in π at position 214,746 of the decimal expansion (the 214,746ordinal-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.