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Number

58,013

58,013 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
16 bits
Reversed
31,085
Recamán's sequence
a(55,382) = 58,013
Square (n²)
3,365,508,169
Cube (n³)
195,243,225,408,197
Divisor count
2
σ(n) — sum of divisors
58,014
φ(n) — Euler's totient
58,012

Primality

58,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 58013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 58,013)
1 × 58013
First multiples
58,013 · 116,026 (double) · 174,039 · 232,052 · 290,065 · 348,078 · 406,091 · 464,104 · 522,117 · 580,130

Sums & aliquot sequence

As a sum of two squares: 37² + 238²
As consecutive integers: 29,006 + 29,007

Representations

In words
fifty-eight thousand thirteen
Ordinal
58013th
Binary
1110001010011101
Octal
161235
Hexadecimal
0xE29D
Base64
4p0=
One's complement
7,522 (16-bit)
In other bases
ternary (3) 2221120122
quaternary (4) 32022131
quinary (5) 3324023
senary (6) 1124325
septenary (7) 331064
nonary (9) 87518
undecimal (11) 3a64a
duodecimal (12) 296a5
tridecimal (13) 20537
tetradecimal (14) 171db
pentadecimal (15) 122c8

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵νηιγʹ
Mayan (base 20)
𝋧·𝋥·𝋠·𝋭
Chinese
五萬八千零一十三
Chinese (financial)
伍萬捌仟零壹拾參
In other modern scripts
Eastern Arabic ٥٨٠١٣ Devanagari ५८०१३ Bengali ৫৮০১৩ Tamil ௫௮௦௧௩ Thai ๕๘๐๑๓ Tibetan ༥༨༠༡༣ Khmer ៥៨០១៣ Lao ໕໘໐໑໓ Burmese ၅၈၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 58,013 = 2
e — Euler's number (e)
Digit 58,013 = 3
φ — Golden ratio (φ)
Digit 58,013 = 3
√2 — Pythagoras's (√2)
Digit 58,013 = 0
ln 2 — Natural log of 2
Digit 58,013 = 0
γ — Euler-Mascheroni (γ)
Digit 58,013 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 57,991 (gap of 22)
  • Next prime: 58,027 (gap of 14)
Hex color
#00E29D
RGB(0, 226, 157)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.226.157.

Address
0.0.226.157
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.226.157

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

Position in π

The digit sequence 58013 first appears in π at position 39,274 of the decimal expansion (the 39,274ordinal-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.