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Number

47,513

47,513 is a prime, odd.

Arithmetic Number Deficient Number Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
420
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
31,574
Recamán's sequence
a(147,181) = 47,513
Square (n²)
2,257,485,169
Cube (n³)
107,259,892,834,697
Divisor count
2
σ(n) — sum of divisors
47,514
φ(n) — Euler's totient
47,512

Primality

47,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 47513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 47,513)
1 × 47513
First multiples
47,513 · 95,026 (double) · 142,539 · 190,052 · 237,565 · 285,078 · 332,591 · 380,104 · 427,617 · 475,130

Sums & aliquot sequence

As a sum of two squares: 112² + 187²
As consecutive integers: 23,756 + 23,757

Representations

In words
forty-seven thousand five hundred thirteen
Ordinal
47513th
Binary
1011100110011001
Octal
134631
Hexadecimal
0xB999
Base64
uZk=
One's complement
18,022 (16-bit)
In other bases
ternary (3) 2102011202
quaternary (4) 23212121
quinary (5) 3010023
senary (6) 1003545
septenary (7) 255344
nonary (9) 72152
undecimal (11) 32774
duodecimal (12) 235b5
tridecimal (13) 1881b
tetradecimal (14) 1345b
pentadecimal (15) e128

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵μζφιγʹ
Mayan (base 20)
𝋥·𝋲·𝋯·𝋭
Chinese
四萬七千五百一十三
Chinese (financial)
肆萬柒仟伍佰壹拾參
In other modern scripts
Eastern Arabic ٤٧٥١٣ Devanagari ४७५१३ Bengali ৪৭৫১৩ Tamil ௪௭௫௧௩ Thai ๔๗๕๑๓ Tibetan ༤༧༥༡༣ Khmer ៤៧៥១៣ Lao ໔໗໕໑໓ Burmese ၄၇၅၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 47,513 = 1
e — Euler's number (e)
Digit 47,513 = 5
φ — Golden ratio (φ)
Digit 47,513 = 6
√2 — Pythagoras's (√2)
Digit 47,513 = 7
ln 2 — Natural log of 2
Digit 47,513 = 1
γ — Euler-Mascheroni (γ)
Digit 47,513 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 47,507 (gap of 6)
  • Next prime: 47,521 (gap of 8)

Pair status: sexy with 47507.

Unicode codepoint
Hangul Syllable Ryilg
U+B999
Other letter (Lo)

UTF-8 encoding: EB A6 99 (3 bytes).

Hex color
#00B999
RGB(0, 185, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.185.153.

Address
0.0.185.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.185.153

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000047513
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 47513 first appears in π at position 21,969 of the decimal expansion (the 21,969ordinal-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.