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134,513

134,513 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.).

134,513 (one hundred thirty-four thousand five hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20D71.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
180
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
315,431
Square (n²)
18,093,747,169
Cube (n³)
2,433,844,212,943,697
Divisor count
2
σ(n) — sum of divisors
134,514
φ(n) — Euler's totient
134,512

Primality

134,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 134513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 134,513)
1 × 134513
First multiples
134,513 · 269,026 (double) · 403,539 · 538,052 · 672,565 · 807,078 · 941,591 · 1,076,104 · 1,210,617 · 1,345,130

Sums & aliquot sequence

As a sum of two squares: 103² + 352²
As consecutive integers: 67,256 + 67,257

Continued fraction of √n

√134,513 = [366; (1, 3, 5, 1, 10, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 7, 2, 91, 4, 1, 1, 5, 22, …)]

Representations

In words
one hundred thirty-four thousand five hundred thirteen
Ordinal
134513th
Binary
100000110101110001
Octal
406561
Hexadecimal
0x20D71
Base64
Ag1x
One's complement
4,294,832,782 (32-bit)
Scientific notation
1.34513 × 10⁵
As a duration
134,513 s = 1 day, 13 hours, 21 minutes, 53 seconds
In other bases
ternary (3) 20211111222
quaternary (4) 200311301
quinary (5) 13301023
senary (6) 2514425
septenary (7) 1100111
nonary (9) 224458
undecimal (11) 92075
duodecimal (12) 65a15
tridecimal (13) 492c2
tetradecimal (14) 37041
pentadecimal (15) 29cc8

As an angle

134,513° = 373 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλδφιγʹ
Mayan (base 20)
𝋰·𝋰·𝋥·𝋭
Chinese
一十三萬四千五百一十三
Chinese (financial)
壹拾參萬肆仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١٣٤٥١٣ Devanagari १३४५१३ Bengali ১৩৪৫১৩ Tamil ௧௩௪௫௧௩ Thai ๑๓๔๕๑๓ Tibetan ༡༣༤༥༡༣ Khmer ១៣៤៥១៣ Lao ໑໓໔໕໑໓ Burmese ၁၃၄၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 134507.

Unicode codepoint
𠵱
CJK Unified Ideograph-20D71
U+20D71
Other letter (Lo)

UTF-8 encoding: F0 A0 B5 B1 (4 bytes).

Hex color
#020D71
RGB(2, 13, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.113.

Address
0.2.13.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.113

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 134,513 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 134513 first appears in π at position 82,488 of the decimal expansion (the 82,488ordinal-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.