Number

36,013

36,013 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime 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: 31,063
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

Representations

In words: thirty-six thousand thirteen
Ordinal: 36013th
Binary: 1000110010101101
Octal: 106255
Hexadecimal: 0x8CAD
Base64: jK0=
One's complement: 29,522 (16-bit)

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

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

貭

CJK Unified Ideograph-8Cad

U+8CAD

Other letter (Lo)

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

Lookup U+8CAD on Compart ↗ Lookup on FileFormat.Info ↗

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.

Look up 36013 on Pi Search ↗