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13,221

13,221 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.).

13,221 (thirteen thousand two hundred twenty-one) is an odd 5-digit number. It is a composite number with 12 divisors, and factors as 3² × 13 × 113. Written other ways, in hexadecimal, 0x33A5.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Harshad / Niven Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
9
Digit product
12
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
12,231
Recamán's sequence
a(47,833) = 13,221
Square (n²)
174,794,841
Cube (n³)
2,310,962,592,861
Divisor count
12
σ(n) — sum of divisors
20,748
φ(n) — Euler's totient
8,064
Sum of prime factors
132

Primality

Prime factorization: 3 2 × 13 × 113

Nearest primes: 13,219 (−2) · 13,229 (+8)

Divisors & multiples

All divisors (12)
1 · 3 · 9 · 13 · 39 · 113 · 117 · 339 · 1017 · 1469 · 4407 · 13221
Aliquot sum (sum of proper divisors): 7,527
Factor pairs (a × b = 13,221)
1 × 13221
3 × 4407
9 × 1469
13 × 1017
39 × 339
113 × 117
First multiples
13,221 · 26,442 (double) · 39,663 · 52,884 · 66,105 · 79,326 · 92,547 · 105,768 · 118,989 · 132,210

Sums & aliquot sequence

As a sum of two squares: 15² + 114² = 30² + 111²
As consecutive integers: 6,610 + 6,611 4,406 + 4,407 + 4,408 2,201 + 2,202 + 2,203 + 2,204 + 2,205 + 2,206 1,465 + 1,466 + … + 1,473
Aliquot sequence: 13,221 7,527 3,337 119 25 6 6 — reaches a perfect number

Continued fraction of √n

√13,221 = [114; (1, 56, 2, 56, 1, 228)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand two hundred twenty-one
Ordinal
13221st
Binary
11001110100101
Octal
31645
Hexadecimal
0x33A5
Base64
M6U=
One's complement
52,314 (16-bit)
Scientific notation
1.3221 × 10⁴
As a duration
13,221 s = 3 hours, 40 minutes, 21 seconds
In other bases
ternary (3) 200010200
quaternary (4) 3032211
quinary (5) 410341
senary (6) 141113
septenary (7) 53355
nonary (9) 20120
undecimal (11) 9a2a
duodecimal (12) 7799
tridecimal (13) 6030
tetradecimal (14) 4b65
pentadecimal (15) 3db6

As an angle

13,221° = 36 × 360° + 261°
261° ≈ 4.555 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ιγσκαʹ
Mayan (base 20)
𝋡·𝋭·𝋡·𝋡
Chinese
一萬三千二百二十一
Chinese (financial)
壹萬參仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٢٢١ Devanagari १३२२१ Bengali ১৩২২১ Tamil ௧௩௨௨௧ Thai ๑๓๒๒๑ Tibetan ༡༣༢༢༡ Khmer ១៣២២១ Lao ໑໓໒໒໑ Burmese ၁၃၂၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,221 = 7
e — Euler's number (e)
Digit 13,221 = 5
φ — Golden ratio (φ)
Digit 13,221 = 0
√2 — Pythagoras's (√2)
Digit 13,221 = 3
ln 2 — Natural log of 2
Digit 13,221 = 5
γ — Euler-Mascheroni (γ)
Digit 13,221 = 2

Also seen as

Unicode codepoint
Square M Cubed
U+33A5
Other symbol (So)

UTF-8 encoding: E3 8E A5 (3 bytes).

Hex color
#0033A5
RGB(0, 51, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.165.

Address
0.0.51.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.165

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

Musical pitch

Heard as a frequency, 13,221 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -9¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +29¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -8¢)
Position in π

The digit sequence 13221 first appears in π at position 141,191 of the decimal expansion (the 141,191ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.