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Number

54,013

54,013 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
16 bits
Reversed
31,045
Recamán's sequence
a(293,426) = 54,013
Square (n²)
2,917,404,169
Cube (n³)
157,577,751,380,197
Divisor count
2
σ(n) — sum of divisors
54,014
φ(n) — Euler's totient
54,012

Primality

54,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 54013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 54,013)
1 × 54013
First multiples
54,013 · 108,026 (double) · 162,039 · 216,052 · 270,065 · 324,078 · 378,091 · 432,104 · 486,117 · 540,130

Sums & aliquot sequence

As a sum of two squares: 138² + 187²
As consecutive integers: 27,006 + 27,007

Representations

In words
fifty-four thousand thirteen
Ordinal
54013th
Binary
1101001011111101
Octal
151375
Hexadecimal
0xD2FD
Base64
0v0=
One's complement
11,522 (16-bit)
In other bases
ternary (3) 2202002111
quaternary (4) 31023331
quinary (5) 3212023
senary (6) 1054021
septenary (7) 313321
nonary (9) 82074
undecimal (11) 37643
duodecimal (12) 27311
tridecimal (13) 1b77b
tetradecimal (14) 15981
pentadecimal (15) 1100d

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵νδιγʹ
Mayan (base 20)
𝋦·𝋯·𝋠·𝋭
Chinese
五萬四千零一十三
Chinese (financial)
伍萬肆仟零壹拾參
In other modern scripts
Eastern Arabic ٥٤٠١٣ Devanagari ५४०१३ Bengali ৫৪০১৩ Tamil ௫௪௦௧௩ Thai ๕๔๐๑๓ Tibetan ༥༤༠༡༣ Khmer ៥៤០១៣ Lao ໕໔໐໑໓ Burmese ၅၄၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 54,013 = 6
e — Euler's number (e)
Digit 54,013 = 1
φ — Golden ratio (φ)
Digit 54,013 = 2
√2 — Pythagoras's (√2)
Digit 54,013 = 0
ln 2 — Natural log of 2
Digit 54,013 = 1
γ — Euler-Mascheroni (γ)
Digit 54,013 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 54,011 (gap of 2)
  • Next prime: 54,037 (gap of 24)

Pair status: twin with 54011.

Unicode codepoint
Hangul Syllable Tilt
U+D2FD
Other letter (Lo)

UTF-8 encoding: ED 8B BD (3 bytes).

Hex color
#00D2FD
RGB(0, 210, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.210.253.

Address
0.0.210.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.210.253

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

Position in π

The digit sequence 54013 first appears in π at position 29,072 of the decimal expansion (the 29,072ordinal-suffix:nd 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.