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13,563

13,563 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.).

13,563 (thirteen thousand five hundred sixty-three) is an odd 5-digit number. It is a composite number with 12 divisors, and factors as 3² × 11 × 137. Written other ways, in hexadecimal, 0x34FB.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
18
Digit product
270
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
36,531
Recamán's sequence
a(3,898) = 13,563
Square (n²)
183,954,969
Cube (n³)
2,494,981,244,547
Divisor count
12
σ(n) — sum of divisors
21,528
φ(n) — Euler's totient
8,160
Sum of prime factors
154

Primality

Prime factorization: 3 2 × 11 × 137

Nearest primes: 13,553 (−10) · 13,567 (+4)

Divisors & multiples

All divisors (12)
1 · 3 · 9 · 11 · 33 · 99 · 137 · 411 · 1233 · 1507 · 4521 · 13563
Aliquot sum (sum of proper divisors): 7,965
Factor pairs (a × b = 13,563)
1 × 13563
3 × 4521
9 × 1507
11 × 1233
33 × 411
99 × 137
First multiples
13,563 · 27,126 (double) · 40,689 · 54,252 · 67,815 · 81,378 · 94,941 · 108,504 · 122,067 · 135,630

Sums & aliquot sequence

As consecutive integers: 6,781 + 6,782 4,520 + 4,521 + 4,522 2,258 + 2,259 + 2,260 + 2,261 + 2,262 + 2,263 1,503 + 1,504 + … + 1,511
Aliquot sequence: 13,563 7,965 6,435 6,669 4,531 221 31 1 0 — terminates at zero

Continued fraction of √n

√13,563 = [116; (2, 5, 1, 3, 1, 9, 1, 3, 1, 5, 2, 232)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand five hundred sixty-three
Ordinal
13563rd
Binary
11010011111011
Octal
32373
Hexadecimal
0x34FB
Base64
NPs=
One's complement
51,972 (16-bit)
Scientific notation
1.3563 × 10⁴
As a duration
13,563 s = 3 hours, 46 minutes, 3 seconds
In other bases
ternary (3) 200121100
quaternary (4) 3103323
quinary (5) 413223
senary (6) 142443
septenary (7) 54354
nonary (9) 20540
undecimal (11) a210
duodecimal (12) 7a23
tridecimal (13) 6234
tetradecimal (14) 4d2b
pentadecimal (15) 4043

As an angle

13,563° = 37 × 360° + 243°
243° ≈ 4.241 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιγφξγʹ
Mayan (base 20)
𝋡·𝋭·𝋲·𝋣
Chinese
一萬三千五百六十三
Chinese (financial)
壹萬參仟伍佰陸拾參
In other modern scripts
Eastern Arabic ١٣٥٦٣ Devanagari १३५६३ Bengali ১৩৫৬৩ Tamil ௧௩௫௬௩ Thai ๑๓๕๖๓ Tibetan ༡༣༥༦༣ Khmer ១៣៥៦៣ Lao ໑໓໕໖໓ Burmese ၁၃၅၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 13,563 = 2
e — Euler's number (e)
Digit 13,563 = 5
φ — Golden ratio (φ)
Digit 13,563 = 0
√2 — Pythagoras's (√2)
Digit 13,563 = 0
ln 2 — Natural log of 2
Digit 13,563 = 7
γ — Euler-Mascheroni (γ)
Digit 13,563 = 7

Also seen as

Unicode codepoint
CJK Unified Ideograph-34Fb
U+34FB
Other letter (Lo)

UTF-8 encoding: E3 93 BB (3 bytes).

Hex color
#0034FB
RGB(0, 52, 251)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.251.

Address
0.0.52.251
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.251

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

Musical pitch

Heard as a frequency, 13,563 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +35¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -27¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +37¢)
Position in π

The digit sequence 13563 first appears in π at position 207,336 of the decimal expansion (the 207,336ordinal-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.

Related reading

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