Live analysis

13,320

13,320 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.).

13,320 (thirteen thousand three hundred twenty) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 5 × 37. Its proper divisors sum to 31,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3408.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

13,308 13,309 13,310 13,311 13,312 13,313 13,314 13,315 13,316 13,317 13,318 13,319 13,320 13,321 13,322 13,323 13,324 13,325 13,326 13,327 13,328 13,329 13,330 13,331 13,332

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 2,331
Recamán's sequence: a(47,635) = 13,320
Square (n²): 177,422,400
Cube (n³): 2,363,266,368,000
Divisor count: 48
σ(n) — sum of divisors: 44,460
φ(n) — Euler's totient: 3,456
Sum of prime factors: 54

Primality

Prime factorization: 2 ³ × 3 ² × 5 × 37

Nearest primes: 13,313 (−7) · 13,327 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 30 · 36 · 37 · 40 · 45 · 60 · 72 · 74 · 90 · 111 · 120 · 148 · 180 · 185 · 222 · 296 · 333 · 360 · 370 · 444 · 555 · 666 · 740 · 888 · 1110 · 1332 · 1480 · 1665 · 2220 · 2664 · 3330 · 4440 · 6660 (half) · 13320

Aliquot sum (sum of proper divisors): 31,140

Factor pairs (a × b = 13,320)

1 × 13320

2 × 6660

3 × 4440

4 × 3330

5 × 2664

6 × 2220

8 × 1665

9 × 1480

10 × 1332

12 × 1110

15 × 888

18 × 740

20 × 666

24 × 555

30 × 444

36 × 370

37 × 360

40 × 333

45 × 296

60 × 222

72 × 185

74 × 180

90 × 148

111 × 120

First multiples

13,320 · 26,640 (double) · 39,960 · 53,280 · 66,600 · 79,920 · 93,240 · 106,560 · 119,880 · 133,200

Sums & aliquot sequence

As a sum of two squares: 18² + 114² = 54² + 102²

As consecutive integers: 4,439 + 4,440 + 4,441 2,662 + 2,663 + 2,664 + 2,665 + 2,666 1,476 + 1,477 + … + 1,484 881 + 882 + … + 895

Aliquot sequence: 13,320 → 31,140 → 63,864 → 109,296 → 247,824 → 446,142 → 446,154 → 518,070 → 903,498 → 903,510 → 1,445,850 → 3,428,838 → 5,510,682 → 6,429,168 → 11,563,976 → 10,118,494 → 5,273,234 — unresolved within range

Continued fraction of √n

√13,320 = [115; (2, 2, 2, 1, 5, 1, 2, 2, 2, 230)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand three hundred twenty
Ordinal: 13320th
Binary: 11010000001000
Octal: 32010
Hexadecimal: 0x3408
Base64: NAg=
One's complement: 52,215 (16-bit)
Scientific notation: 1.332 × 10⁴
As a duration: 13,320 s = 3 hours, 42 minutes

In other bases

ternary (3) 200021100

quaternary (4) 3100020

quinary (5) 411240

senary (6) 141400

septenary (7) 53556

nonary (9) 20240

undecimal (11) a00a

duodecimal (12) 7860

tridecimal (13) 60a8

tetradecimal (14) 4bd6

pentadecimal (15) 3e30

Palindromic in base 11

As an angle

13,320° = 37 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ιγτκʹ
Mayan (base 20): 𝋡·𝋭·𝋦·𝋠
Chinese: 一萬三千三百二十
Chinese (financial): 壹萬參仟參佰貳拾

In other modern scripts

Eastern Arabic ١٣٣٢٠ Devanagari १३३२० Bengali ১৩৩২০ Tamil ௧௩௩௨௦ Thai ๑๓๓๒๐ Tibetan ༡༣༣༢༠ Khmer ១៣៣២០ Lao ໑໓໓໒໐ Burmese ၁၃၃၂၀

Digit at this position in famous constants

π — Pi (π): Digit 13,320 = 9
e — Euler's number (e): Digit 13,320 = 2
φ — Golden ratio (φ): Digit 13,320 = 9
√2 — Pythagoras's (√2): Digit 13,320 = 1
ln 2 — Natural log of 2: Digit 13,320 = 1
γ — Euler-Mascheroni (γ): Digit 13,320 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13320, here are decompositions:

7 + 13313 = 13320
11 + 13309 = 13320
23 + 13297 = 13320
29 + 13291 = 13320
53 + 13267 = 13320
61 + 13259 = 13320
71 + 13249 = 13320
79 + 13241 = 13320

Showing the first eight; more decompositions exist.

Unicode codepoint

㐈

CJK Unified Ideograph-3408

U+3408

Other letter (Lo)

UTF-8 encoding: E3 90 88 (3 bytes).

Lookup U+3408 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003408

RGB(0, 52, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.8.

Address: 0.0.52.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.52.8

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

Musical pitch

Heard as a frequency, 13,320 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +4¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +42¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +5¢)

Position in π

The digit sequence 13320 first appears in π at position 18,115 of the decimal expansion (the 18,115ordinal-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 13320 on Pi Search ↗