Live analysis

13,220

13,220 is a composite number, even.

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.).

13,220 (thirteen thousand two hundred twenty) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 661. Its proper divisors sum to 14,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x33A4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

13,208 13,209 13,210 13,211 13,212 13,213 13,214 13,215 13,216 13,217 13,218 13,219 13,220 13,221 13,222 13,223 13,224 13,225 13,226 13,227 13,228 13,229 13,230 13,231 13,232

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Properties

Parity: Even
Digit count: 5
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 14 bits
Reversed: 2,231
Recamán's sequence: a(47,835) = 13,220
Square (n²): 174,768,400
Cube (n³): 2,310,438,248,000
Divisor count: 12
σ(n) — sum of divisors: 27,804
φ(n) — Euler's totient: 5,280
Sum of prime factors: 670

Primality

Prime factorization: 2 ² × 5 × 661

Nearest primes: 13,219 (−1) · 13,229 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 661 · 1322 · 2644 · 3305 · 6610 (half) · 13220

Aliquot sum (sum of proper divisors): 14,584

Factor pairs (a × b = 13,220)

1 × 13220

2 × 6610

4 × 3305

5 × 2644

10 × 1322

20 × 661

First multiples

13,220 · 26,440 (double) · 39,660 · 52,880 · 66,100 · 79,320 · 92,540 · 105,760 · 118,980 · 132,200

Sums & aliquot sequence

As a sum of two squares: 26² + 112² = 74² + 88²

As consecutive integers: 2,642 + 2,643 + 2,644 + 2,645 + 2,646 1,649 + 1,650 + … + 1,656 311 + 312 + … + 350

Aliquot sequence: 13,220 → 14,584 → 12,776 → 11,194 → 6,266 → 3,898 → 1,952 → 1,954 → 980 → 1,414 → 1,034 → 694 → 350 → 394 → 200 → 265 → 59 — unresolved within range

Continued fraction of √n

√13,220 = [114; (1, 44, 1, 228)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand two hundred twenty
Ordinal: 13220th
Binary: 11001110100100
Octal: 31644
Hexadecimal: 0x33A4
Base64: M6Q=
One's complement: 52,315 (16-bit)
Scientific notation: 1.322 × 10⁴
As a duration: 13,220 s = 3 hours, 40 minutes, 20 seconds

In other bases

ternary (3) 200010122

quaternary (4) 3032210

quinary (5) 410340

senary (6) 141112

septenary (7) 53354

nonary (9) 20118

undecimal (11) 9a29

duodecimal (12) 7798

tridecimal (13) 602c

tetradecimal (14) 4b64

pentadecimal (15) 3db5

As an angle

13,220° = 36 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ιγσκʹ
Mayan (base 20): 𝋡·𝋭·𝋡·𝋠
Chinese: 一萬三千二百二十
Chinese (financial): 壹萬參仟貳佰貳拾

In other modern scripts

Eastern Arabic ١٣٢٢٠ Devanagari १३२२० Bengali ১৩২২০ Tamil ௧௩௨௨௦ Thai ๑๓๒๒๐ Tibetan ༡༣༢༢༠ Khmer ១៣២២០ Lao ໑໓໒໒໐ Burmese ၁၃၂၂၀

Digit at this position in famous constants

π — Pi (π): Digit 13,220 = 2
e — Euler's number (e): Digit 13,220 = 5
φ — Golden ratio (φ): Digit 13,220 = 2
√2 — Pythagoras's (√2): Digit 13,220 = 3
ln 2 — Natural log of 2: Digit 13,220 = 6
γ — Euler-Mascheroni (γ): Digit 13,220 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13220, here are decompositions:

3 + 13217 = 13220
37 + 13183 = 13220
43 + 13177 = 13220
61 + 13159 = 13220
73 + 13147 = 13220
127 + 13093 = 13220
157 + 13063 = 13220
211 + 13009 = 13220

Showing the first eight; more decompositions exist.

Unicode codepoint

㎤

Square Cm Cubed

U+33A4

Other symbol (So)

UTF-8 encoding: E3 8E A4 (3 bytes).

Lookup U+33A4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0033A4

RGB(0, 51, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.164.

Address: 0.0.51.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.164

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

Musical pitch

Heard as a frequency, 13,220 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 13220 first appears in π at position 89,903 of the decimal expansion (the 89,903ordinal-suffix:rd 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 13220 on Pi Search ↗