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Number

7,013

7,013 is a prime, odd.

Arithmetic Number Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
3,107
Recamán's sequence
a(176,985) = 7,013
Square (n²)
49,182,169
Cube (n³)
344,914,551,197
Divisor count
2
σ(n) — sum of divisors
7,014
φ(n) — Euler's totient
7,012

Primality

7,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 7013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 7,013)
1 × 7013
First multiples
7,013 · 14,026 (double) · 21,039 · 28,052 · 35,065 · 42,078 · 49,091 · 56,104 · 63,117 · 70,130

Sums & aliquot sequence

As a sum of two squares: 17² + 82²
As consecutive integers: 3,506 + 3,507

Representations

In words
seven thousand thirteen
Ordinal
7013th
Binary
1101101100101
Octal
15545
Hexadecimal
0x1B65
Base64
G2U=
One's complement
58,522 (16-bit)
In other bases
ternary (3) 100121202
quaternary (4) 1231211
quinary (5) 211023
senary (6) 52245
septenary (7) 26306
nonary (9) 10552
undecimal (11) 52a6
duodecimal (12) 4085
tridecimal (13) 3266
tetradecimal (14) 27ad
pentadecimal (15) 2128

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ζιγʹ
Mayan (base 20)
𝋱·𝋪·𝋭
Chinese
七千零一十三
Chinese (financial)
柒仟零壹拾參
In other modern scripts
Eastern Arabic ٧٠١٣ Devanagari ७०१३ Bengali ৭০১৩ Tamil ௭௦௧௩ Thai ๗๐๑๓ Tibetan ༧༠༡༣ Khmer ៧០១៣ Lao ໗໐໑໓ Burmese ၇၀၁၃

Digit at this position in famous constants

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

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 7,001 (gap of 12)
  • Next prime: 7,019 (gap of 6)

Pair status: sexy with 7019.

Unicode codepoint
Balinese Musical Symbol Dang Surang
U+1B65
Other symbol (So)

UTF-8 encoding: E1 AD A5 (3 bytes).

Hex color
#001B65
RGB(0, 27, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.101.

Address
0.0.27.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.27.101

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

Position in π

The digit sequence 7013 first appears in π at position 5,746 of the decimal expansion (the 5,746ordinal-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.