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Number

30,013

30,013 is a prime, odd.

Arithmetic Number Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
31,003
Recamán's sequence
a(161,225) = 30,013
Square (n²)
900,780,169
Cube (n³)
27,035,115,212,197
Divisor count
2
σ(n) — sum of divisors
30,014
φ(n) — Euler's totient
30,012

Primality

30,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 30013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 30,013)
1 × 30013
First multiples
30,013 · 60,026 (double) · 90,039 · 120,052 · 150,065 · 180,078 · 210,091 · 240,104 · 270,117 · 300,130

Sums & aliquot sequence

As a sum of two squares: 122² + 123²
As consecutive integers: 15,006 + 15,007

Representations

In words
thirty thousand thirteen
Ordinal
30013th
Binary
111010100111101
Octal
72475
Hexadecimal
0x753D
Base64
dT0=
One's complement
35,522 (16-bit)
In other bases
ternary (3) 1112011121
quaternary (4) 13110331
quinary (5) 1430023
senary (6) 350541
septenary (7) 153334
nonary (9) 45147
undecimal (11) 20605
duodecimal (12) 15451
tridecimal (13) 10879
tetradecimal (14) ad1b
pentadecimal (15) 8d5d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓎆𓏺𓏺𓏺
Greek (Milesian)
͵λιγʹ
Mayan (base 20)
𝋣·𝋯·𝋠·𝋭
Chinese
三萬零一十三
Chinese (financial)
參萬零壹拾參
In other modern scripts
Eastern Arabic ٣٠٠١٣ Devanagari ३००१३ Bengali ৩০০১৩ Tamil ௩௦௦௧௩ Thai ๓๐๐๑๓ Tibetan ༣༠༠༡༣ Khmer ៣០០១៣ Lao ໓໐໐໑໓ Burmese ၃၀၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 30,013 = 8
e — Euler's number (e)
Digit 30,013 = 0
φ — Golden ratio (φ)
Digit 30,013 = 5
√2 — Pythagoras's (√2)
Digit 30,013 = 1
ln 2 — Natural log of 2
Digit 30,013 = 7
γ — Euler-Mascheroni (γ)
Digit 30,013 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 30,011 (gap of 2)
  • Next prime: 30,029 (gap of 16)

Pair status: twin with 30011.

Unicode codepoint
CJK Unified Ideograph-753D
U+753D
Other letter (Lo)

UTF-8 encoding: E7 94 BD (3 bytes).

Hex color
#00753D
RGB(0, 117, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.117.61.

Address
0.0.117.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.117.61

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

Position in π

The digit sequence 30013 first appears in π at position 11,339 of the decimal expansion (the 11,339ordinal-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.