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Number

45,013

45,013 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
16 bits
Reversed
31,054
Recamán's sequence
a(68,566) = 45,013
Square (n²)
2,026,170,169
Cube (n³)
91,203,997,817,197
Divisor count
2
σ(n) — sum of divisors
45,014
φ(n) — Euler's totient
45,012

Primality

45,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 45013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 45,013)
1 × 45013
First multiples
45,013 · 90,026 (double) · 135,039 · 180,052 · 225,065 · 270,078 · 315,091 · 360,104 · 405,117 · 450,130

Sums & aliquot sequence

As a sum of two squares: 137² + 162²
As consecutive integers: 22,506 + 22,507

Representations

In words
forty-five thousand thirteen
Ordinal
45013th
Binary
1010111111010101
Octal
127725
Hexadecimal
0xAFD5
Base64
r9U=
One's complement
20,522 (16-bit)
In other bases
ternary (3) 2021202011
quaternary (4) 22333111
quinary (5) 2420023
senary (6) 544221
septenary (7) 245143
nonary (9) 67664
undecimal (11) 30901
duodecimal (12) 22071
tridecimal (13) 17647
tetradecimal (14) 12593
pentadecimal (15) d50d

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵μειγʹ
Mayan (base 20)
𝋥·𝋬·𝋪·𝋭
Chinese
四萬五千零一十三
Chinese (financial)
肆萬伍仟零壹拾參
In other modern scripts
Eastern Arabic ٤٥٠١٣ Devanagari ४५०१३ Bengali ৪৫০১৩ Tamil ௪௫௦௧௩ Thai ๔๕๐๑๓ Tibetan ༤༥༠༡༣ Khmer ៤៥០១៣ Lao ໔໕໐໑໓ Burmese ၄၅၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 45,013 = 6
e — Euler's number (e)
Digit 45,013 = 6
φ — Golden ratio (φ)
Digit 45,013 = 9
√2 — Pythagoras's (√2)
Digit 45,013 = 6
ln 2 — Natural log of 2
Digit 45,013 = 3
γ — Euler-Mascheroni (γ)
Digit 45,013 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 45,007 (gap of 6)
  • Next prime: 45,053 (gap of 40)

Pair status: sexy with 45007.

Unicode codepoint
Hangul Syllable Ggweog
U+AFD5
Other letter (Lo)

UTF-8 encoding: EA BF 95 (3 bytes).

Hex color
#00AFD5
RGB(0, 175, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.175.213.

Address
0.0.175.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.175.213

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

Position in π

The digit sequence 45013 first appears in π at position 19,185 of the decimal expansion (the 19,185ordinal-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.