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Number

2,213

2,213 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
4
Digit sum
8
Digit product
12
Digital root
8
Palindrome
No
Bit width
12 bits
Reversed
3,122
Recamán's sequence
a(3,325) = 2,213
Square (n²)
4,897,369
Cube (n³)
10,837,877,597
Divisor count
2
σ(n) — sum of divisors
2,214
φ(n) — Euler's totient
2,212

Primality

2,213 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2213
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,213)
1 × 2213
First multiples
2,213 · 4,426 (double) · 6,639 · 8,852 · 11,065 · 13,278 · 15,491 · 17,704 · 19,917 · 22,130

Sums & aliquot sequence

As a sum of two squares: 2² + 47²
As consecutive integers: 1,106 + 1,107

Representations

In words
two thousand two hundred thirteen
Ordinal
2213th
Roman numeral
MMCCXIII
Binary
100010100101
Octal
4245
Hexadecimal
0x8A5
Base64
CKU=
One's complement
63,322 (16-bit)
In other bases
ternary (3) 10000222
quaternary (4) 202211
quinary (5) 32323
senary (6) 14125
septenary (7) 6311
nonary (9) 3028
undecimal (11) 1732
duodecimal (12) 1345
tridecimal (13) 1013
tetradecimal (14) b41
pentadecimal (15) 9c8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵βσιγʹ
Mayan (base 20)
𝋥·𝋪·𝋭
Chinese
二千二百一十三
Chinese (financial)
貳仟貳佰壹拾參
In other modern scripts
Eastern Arabic ٢٢١٣ Devanagari २२१३ Bengali ২২১৩ Tamil ௨௨௧௩ Thai ๒๒๑๓ Tibetan ༢༢༡༣ Khmer ២២១៣ Lao ໒໒໑໓ Burmese ၂၂၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 2,213 = 7
e — Euler's number (e)
Digit 2,213 = 0
φ — Golden ratio (φ)
Digit 2,213 = 4
√2 — Pythagoras's (√2)
Digit 2,213 = 1
ln 2 — Natural log of 2
Digit 2,213 = 5
γ — Euler-Mascheroni (γ)
Digit 2,213 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,207 (gap of 6)
  • Next prime: 2,221 (gap of 8)

Pair status: sexy with 2207.

Unicode codepoint
Arabic Letter Qaf With Dot Below
U+08A5
Other letter (Lo)

UTF-8 encoding: E0 A2 A5 (3 bytes).

Hex color
#0008A5
RGB(0, 8, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.165.

Address
0.0.8.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.165

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

Position in π

The digit sequence 2213 first appears in π at position 4,564 of the decimal expansion (the 4,564ordinal-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.