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Number

10,513

10,513 is a prime, odd.

Arithmetic Number Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
31,501
Recamán's sequence
a(50,493) = 10,513
Square (n²)
110,523,169
Cube (n³)
1,161,930,075,697
Divisor count
2
σ(n) — sum of divisors
10,514
φ(n) — Euler's totient
10,512

Primality

10,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,513)
1 × 10513
First multiples
10,513 · 21,026 (double) · 31,539 · 42,052 · 52,565 · 63,078 · 73,591 · 84,104 · 94,617 · 105,130

Sums & aliquot sequence

As a sum of two squares: 72² + 73²
As consecutive integers: 5,256 + 5,257

Representations

In words
ten thousand five hundred thirteen
Ordinal
10513th
Binary
10100100010001
Octal
24421
Hexadecimal
0x2911
Base64
KRE=
One's complement
55,022 (16-bit)
In other bases
ternary (3) 112102101
quaternary (4) 2210101
quinary (5) 314023
senary (6) 120401
septenary (7) 42436
nonary (9) 15371
undecimal (11) 7998
duodecimal (12) 6101
tridecimal (13) 4a29
tetradecimal (14) 3b8d
pentadecimal (15) 31ad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιφιγʹ
Mayan (base 20)
𝋡·𝋦·𝋥·𝋭
Chinese
一萬零五百一十三
Chinese (financial)
壹萬零伍佰壹拾參
In other modern scripts
Eastern Arabic ١٠٥١٣ Devanagari १०५१३ Bengali ১০৫১৩ Tamil ௧௦௫௧௩ Thai ๑๐๕๑๓ Tibetan ༡༠༥༡༣ Khmer ១០៥១៣ Lao ໑໐໕໑໓ Burmese ၁၀၅၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 10,513 = 2
e — Euler's number (e)
Digit 10,513 = 9
φ — Golden ratio (φ)
Digit 10,513 = 6
√2 — Pythagoras's (√2)
Digit 10,513 = 1
ln 2 — Natural log of 2
Digit 10,513 = 6
γ — Euler-Mascheroni (γ)
Digit 10,513 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,501 (gap of 12)
  • Next prime: 10,529 (gap of 16)
Unicode codepoint
Rightwards Arrow With Dotted Stem
U+2911
Math symbol (Sm)

UTF-8 encoding: E2 A4 91 (3 bytes).

Hex color
#002911
RGB(0, 41, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.17.

Address
0.0.41.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.17

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 10513 first appears in π at position 61,420 of the decimal expansion (the 61,420ordinal-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.