Live analysis

13,200

13,200 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.).

13,200 (thirteen thousand two hundred) is an even 5-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 5² × 11. Its proper divisors sum to 32,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3390.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

13,188 13,189 13,190 13,191 13,192 13,193 13,194 13,195 13,196 13,197 13,198 13,199 13,200 13,201 13,202 13,203 13,204 13,205 13,206 13,207 13,208 13,209 13,210 13,211 13,212

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 231
Recamán's sequence: a(47,875) = 13,200
Square (n²): 174,240,000
Cube (n³): 2,299,968,000,000
Divisor count: 60
σ(n) — sum of divisors: 46,128
φ(n) — Euler's totient: 3,200
Sum of prime factors: 32

Primality

Prime factorization: 2 ⁴ × 3 × 5 ² × 11

Nearest primes: 13,187 (−13) · 13,217 (+17)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 20 · 22 · 24 · 25 · 30 · 33 · 40 · 44 · 48 · 50 · 55 · 60 · 66 · 75 · 80 · 88 · 100 · 110 · 120 · 132 · 150 · 165 · 176 · 200 · 220 · 240 · 264 · 275 · 300 · 330 · 400 · 440 · 528 · 550 · 600 · 660 · 825 · 880 · 1100 · 1200 · 1320 · 1650 · 2200 · 2640 · 3300 · 4400 · 6600 (half) · 13200

Aliquot sum (sum of proper divisors): 32,928

Factor pairs (a × b = 13,200)

1 × 13200

2 × 6600

3 × 4400

4 × 3300

5 × 2640

6 × 2200

8 × 1650

10 × 1320

11 × 1200

12 × 1100

15 × 880

16 × 825

20 × 660

22 × 600

24 × 550

25 × 528

30 × 440

33 × 400

40 × 330

44 × 300

48 × 275

50 × 264

55 × 240

60 × 220

66 × 200

75 × 176

80 × 165

88 × 150

100 × 132

110 × 120

First multiples

13,200 · 26,400 (double) · 39,600 · 52,800 · 66,000 · 79,200 · 92,400 · 105,600 · 118,800 · 132,000

Sums & aliquot sequence

As consecutive integers: 4,399 + 4,400 + 4,401 2,638 + 2,639 + 2,640 + 2,641 + 2,642 1,195 + 1,196 + … + 1,205 873 + 874 + … + 887

Aliquot sequence: 13,200 → 32,928 → 67,872 → 137,760 → 370,272 → 839,328 → 1,680,672 → 3,568,992 → 7,462,560 → 19,414,752 → 39,516,960 → 110,473,440 → 339,497,760 → 899,132,640 → 2,384,205,600 → 6,485,101,728 → 13,163,035,872 — keeps growing

Continued fraction of √n

√13,200 = [114; (1, 8, 5, 8, 1, 228)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand two hundred
Ordinal: 13200th
Binary: 11001110010000
Octal: 31620
Hexadecimal: 0x3390
Base64: M5A=
One's complement: 52,335 (16-bit)
Scientific notation: 1.32 × 10⁴
As a duration: 13,200 s = 3 hours, 40 minutes

In other bases

ternary (3) 200002220

quaternary (4) 3032100

quinary (5) 410300

senary (6) 141040

septenary (7) 53325

nonary (9) 20086

undecimal (11) 9a10

duodecimal (12) 7780

tridecimal (13) 6015

tetradecimal (14) 4b4c

pentadecimal (15) 3da0

As an angle

13,200° = 36 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢
Greek (Milesian): ͵ιγσʹ
Mayan (base 20): 𝋡·𝋭·𝋠·𝋠
Chinese: 一萬三千二百
Chinese (financial): 壹萬參仟貳佰

In other modern scripts

Eastern Arabic ١٣٢٠٠ Devanagari १३२०० Bengali ১৩২০০ Tamil ௧௩௨௦௦ Thai ๑๓๒๐๐ Tibetan ༡༣༢༠༠ Khmer ១៣២០០ Lao ໑໓໒໐໐ Burmese ၁၃၂၀၀

Digit at this position in famous constants

π — Pi (π): Digit 13,200 = 8
e — Euler's number (e): Digit 13,200 = 0
φ — Golden ratio (φ): Digit 13,200 = 5
√2 — Pythagoras's (√2): Digit 13,200 = 8
ln 2 — Natural log of 2: Digit 13,200 = 2
γ — Euler-Mascheroni (γ): Digit 13,200 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13200, here are decompositions:

13 + 13187 = 13200
17 + 13183 = 13200
23 + 13177 = 13200
29 + 13171 = 13200
37 + 13163 = 13200
41 + 13159 = 13200
53 + 13147 = 13200
73 + 13127 = 13200

Showing the first eight; more decompositions exist.

Unicode codepoint

㎐

Square Hz

U+3390

Other symbol (So)

UTF-8 encoding: E3 8E 90 (3 bytes).

Lookup U+3390 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003390

RGB(0, 51, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.144.

Address: 0.0.51.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.144

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

Musical pitch

Heard as a frequency, 13,200 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -12¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +26¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -10¢)

Position in π

The digit sequence 13200 first appears in π at position 598 of the decimal expansion (the 598ordinal-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.

Look up 13200 on Pi Search ↗