Live analysis

5,221

5,221 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

5,221 (five thousand two hundred twenty-one) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 23 × 227. Written other ways, in hexadecimal, 0x1465.

Arithmetic Number Cube-Free Deficient Number Evil Number Heptagonal Recamán's Sequence Semiprime Squarefree Star Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

5,209 5,210 5,211 5,212 5,213 5,214 5,215 5,216 5,217 5,218 5,219 5,220 5,221 5,222 5,223 5,224 5,225 5,226 5,227 5,228 5,229 5,230 5,231 5,232 5,233

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Properties

Parity: Odd
Digit count: 4
Digit sum: 10
Digit product: 20
Digital root: 1
Palindrome: No
Bit width: 13 bits
Reversed: 1,225
Recamán's sequence: a(4,694) = 5,221
Square (n²): 27,258,841
Cube (n³): 142,318,408,861
Divisor count: 4
σ(n) — sum of divisors: 5,472
φ(n) — Euler's totient: 4,972
Sum of prime factors: 250

Primality

Prime factorization: 23 × 227

Nearest primes: 5,209 (−12) · 5,227 (+6)

Divisors & multiples

All divisors (4)

1 · 23 · 227 · 5221

Aliquot sum (sum of proper divisors): 251

Factor pairs (a × b = 5,221)

1 × 5221

23 × 227

First multiples

5,221 · 10,442 (double) · 15,663 · 20,884 · 26,105 · 31,326 · 36,547 · 41,768 · 46,989 · 52,210

Sums & aliquot sequence

As consecutive integers: 2,610 + 2,611 216 + 217 + … + 238 91 + 92 + … + 136

Aliquot sequence: 5,221 → 251 → 1 → 0 — terminates at zero

Continued fraction of √n

√5,221 = [72; (3, 1, 8, 1, 7, 1, 1, 1, 1, 11, 2, 3, 1, 1, 6, 1, 1, 1, 28, 3, 1, 47, 2, 2, …)]

Representations

In words: five thousand two hundred twenty-one
Ordinal: 5221st
Binary: 1010001100101
Octal: 12145
Hexadecimal: 0x1465
Base64: FGU=
One's complement: 60,314 (16-bit)
Scientific notation: 5.221 × 10³
As a duration: 5,221 s = 1 hour, 27 minutes, 1 second

In other bases

ternary (3) 21011101

quaternary (4) 1101211

quinary (5) 131341

senary (6) 40101

septenary (7) 21136

nonary (9) 7141

undecimal (11) 3a17

duodecimal (12) 3031

tridecimal (13) 24b8

tetradecimal (14) 1c8d

pentadecimal (15) 1831

As an angle

5,221° = 14 × 360° + 181°

181° ≈ 3.159 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian): ͵εσκαʹ
Mayan (base 20): 𝋭·𝋡·𝋡
Chinese: 五千二百二十一
Chinese (financial): 伍仟貳佰貳拾壹

In other modern scripts

Eastern Arabic ٥٢٢١ Devanagari ५२२१ Bengali ৫২২১ Tamil ௫௨௨௧ Thai ๕๒๒๑ Tibetan ༥༢༢༡ Khmer ៥២២១ Lao ໕໒໒໑ Burmese ၅၂၂၁

Digit at this position in famous constants

π — Pi (π): Digit 5,221 = 1
e — Euler's number (e): Digit 5,221 = 3
φ — Golden ratio (φ): Digit 5,221 = 2
√2 — Pythagoras's (√2): Digit 5,221 = 4
ln 2 — Natural log of 2: Digit 5,221 = 4
γ — Euler-Mascheroni (γ): Digit 5,221 = 7

Also seen as

Unicode codepoint

ᑥ

Canadian Syllabics Naskapi Twaa

U+1465

Other letter (Lo)

UTF-8 encoding: E1 91 A5 (3 bytes).

Lookup U+1465 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001465

RGB(0, 20, 101)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.101.

Address: 0.0.20.101
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.20.101

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

Musical pitch

Heard as a frequency, 5,221 Hz is closest to:

Concert pitch (A4 = 440 Hz): E8 (5274 Hz, -17¢)
Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, +20¢)
Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, -16¢)

Position in π

The digit sequence 5221 first appears in π at position 16,291 of the decimal expansion (the 16,291ordinal-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.

Look up 5221 on Pi Search ↗