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Number

36,013

36,013 is a prime, odd.

36,013 (thirty-six thousand thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x8CAD.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
16 bits
Reversed
31,063
Recamán's sequence
a(157,953) = 36,013
Square (n²)
1,296,936,169
Cube (n³)
46,706,562,254,197
Divisor count
2
σ(n) — sum of divisors
36,014
φ(n) — Euler's totient
36,012

Primality

36,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 36013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 36,013)
1 × 36013
First multiples
36,013 · 72,026 (double) · 108,039 · 144,052 · 180,065 · 216,078 · 252,091 · 288,104 · 324,117 · 360,130

Sums & aliquot sequence

As a sum of two squares: 78² + 173²
As consecutive integers: 18,006 + 18,007

Continued fraction of √n

√36,013 = [189; (1, 3, 2, 1, 2, 1, 4, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 2, 3, 1, 378)]

Period length 21 — the block in parentheses repeats forever.

Representations

In words
thirty-six thousand thirteen
Ordinal
36013th
Binary
1000110010101101
Octal
106255
Hexadecimal
0x8CAD
Base64
jK0=
One's complement
29,522 (16-bit)
Scientific notation
3.6013 × 10⁴
As a duration
36,013 s = 10 hours, 13 seconds
In other bases
ternary (3) 1211101211
quaternary (4) 20302231
quinary (5) 2123023
senary (6) 434421
septenary (7) 206665
nonary (9) 54354
undecimal (11) 2506a
duodecimal (12) 18a11
tridecimal (13) 13513
tetradecimal (14) d1a5
pentadecimal (15) aa0d

As an angle

36,013° = 100 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋 · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵λϛιγʹ
Mayan (base 20)
𝋤·𝋪·𝋠·𝋭
Chinese
三萬六千零一十三
Chinese (financial)
參萬陸仟零壹拾參
In other modern scripts
Eastern Arabic ٣٦٠١٣ Devanagari ३६०१३ Bengali ৩৬০১৩ Tamil ௩௬௦௧௩ Thai ๓๖๐๑๓ Tibetan ༣༦༠༡༣ Khmer ៣៦០១៣ Lao ໓໖໐໑໓ Burmese ၃၆၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 36,013 = 7
e — Euler's number (e)
Digit 36,013 = 5
φ — Golden ratio (φ)
Digit 36,013 = 6
√2 — Pythagoras's (√2)
Digit 36,013 = 1
ln 2 — Natural log of 2
Digit 36,013 = 1
γ — Euler-Mascheroni (γ)
Digit 36,013 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 36,011 (gap of 2)
  • Next prime: 36,017 (gap of 4)

Pair status: twin with 36011, cousin with 36017.

Unicode codepoint
CJK Unified Ideograph-8Cad
U+8CAD
Other letter (Lo)

UTF-8 encoding: E8 B2 AD (3 bytes).

Hex color
#008CAD
RGB(0, 140, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.140.173.

Address
0.0.140.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.140.173

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

Position in π

The digit sequence 36013 first appears in π at position 20,549 of the decimal expansion (the 20,549ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.