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Number

7,213

7,213 is a prime, odd.

7,213 (seven thousand two hundred thirteen) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C2D.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
42
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
3,127
Recamán's sequence
a(26,258) = 7,213
Square (n²)
52,027,369
Cube (n³)
375,273,412,597
Divisor count
2
σ(n) — sum of divisors
7,214
φ(n) — Euler's totient
7,212

Primality

7,213 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 7213
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 7,213)
1 × 7213
First multiples
7,213 · 14,426 (double) · 21,639 · 28,852 · 36,065 · 43,278 · 50,491 · 57,704 · 64,917 · 72,130

Sums & aliquot sequence

As a sum of two squares: 18² + 83²
As consecutive integers: 3,606 + 3,607

Continued fraction of √n

√7,213 = [84; (1, 13, 6, 4, 1, 1, 4, 6, 13, 1, 168)]

Period length 11 — the block in parentheses repeats forever.

Representations

In words
seven thousand two hundred thirteen
Ordinal
7213th
Binary
1110000101101
Octal
16055
Hexadecimal
0x1C2D
Base64
HC0=
One's complement
58,322 (16-bit)
Scientific notation
7.213 × 10³
As a duration
7,213 s = 2 hours, 13 seconds
In other bases
ternary (3) 100220011
quaternary (4) 1300231
quinary (5) 212323
senary (6) 53221
septenary (7) 30013
nonary (9) 10804
undecimal (11) 5468
duodecimal (12) 4211
tridecimal (13) 338b
tetradecimal (14) 28b3
pentadecimal (15) 220d

As an angle

7,213° = 20 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ζσιγʹ
Mayan (base 20)
𝋲·𝋠·𝋭
Chinese
七千二百一十三
Chinese (financial)
柒仟貳佰壹拾參
In other modern scripts
Eastern Arabic ٧٢١٣ Devanagari ७२१३ Bengali ৭২১৩ Tamil ௭௨௧௩ Thai ๗๒๑๓ Tibetan ༧༢༡༣ Khmer ៧២១៣ Lao ໗໒໑໓ Burmese ၇၂၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 7,213 = 6
e — Euler's number (e)
Digit 7,213 = 4
φ — Golden ratio (φ)
Digit 7,213 = 0
√2 — Pythagoras's (√2)
Digit 7,213 = 1
ln 2 — Natural log of 2
Digit 7,213 = 1
γ — Euler-Mascheroni (γ)
Digit 7,213 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 7,211 (gap of 2)
  • Next prime: 7,219 (gap of 6)

Pair status: twin with 7211, sexy with 7219.

Unicode codepoint
Lepcha Consonant Sign K
U+1C2D
Non-spacing mark (Mn)

UTF-8 encoding: E1 B0 AD (3 bytes).

Hex color
#001C2D
RGB(0, 28, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.28.45.

Address
0.0.28.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.28.45

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

Musical pitch

Heard as a frequency, 7,213 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A8 (7040 Hz, +42¢)
  • Scientific pitch (C4 = 256 Hz): A♯8 (7298.2 Hz, -20¢)
  • Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, +43¢)
Position in π

The digit sequence 7213 first appears in π at position 5,671 of the decimal expansion (the 5,671ordinal-suffix:st 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.