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13,564

13,564 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.).

13,564 (thirteen thousand five hundred sixty-four) is an even 5-digit number. It is a composite number with 6 divisors, and factors as 2² × 3,391. Written other ways, in hexadecimal, 0x34FC.

Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
19
Digit product
360
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
46,531
Recamán's sequence
a(3,900) = 13,564
Square (n²)
183,982,096
Cube (n³)
2,495,533,150,144
Divisor count
6
σ(n) — sum of divisors
23,744
φ(n) — Euler's totient
6,780
Sum of prime factors
3,395

Primality

Prime factorization: 2 2 × 3391

Nearest primes: 13,553 (−11) · 13,567 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 3391 · 6782 (half) · 13564
Aliquot sum (sum of proper divisors): 10,180
Factor pairs (a × b = 13,564)
1 × 13564
2 × 6782
4 × 3391
First multiples
13,564 · 27,128 (double) · 40,692 · 54,256 · 67,820 · 81,384 · 94,948 · 108,512 · 122,076 · 135,640

Sums & aliquot sequence

As consecutive integers: 1,692 + 1,693 + … + 1,699
Aliquot sequence: 13,564 10,180 11,240 14,140 20,132 20,188 21,308 21,364 22,526 16,114 11,534 6,226 3,998 2,002 2,030 2,290 1,850 — unresolved within range

Continued fraction of √n

√13,564 = [116; (2, 6, 1, 1, 3, 1, 2, 3, 15, 4, 3, 28, 1, 4, 4, 1, 3, 13, 2, 3, 1, 1, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand five hundred sixty-four
Ordinal
13564th
Binary
11010011111100
Octal
32374
Hexadecimal
0x34FC
Base64
NPw=
One's complement
51,971 (16-bit)
Scientific notation
1.3564 × 10⁴
As a duration
13,564 s = 3 hours, 46 minutes, 4 seconds
In other bases
ternary (3) 200121101
quaternary (4) 3103330
quinary (5) 413224
senary (6) 142444
septenary (7) 54355
nonary (9) 20541
undecimal (11) a211
duodecimal (12) 7a24
tridecimal (13) 6235
tetradecimal (14) 4d2c
pentadecimal (15) 4044

As an angle

13,564° = 37 × 360° + 244°
244° ≈ 4.259 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγφξδʹ
Mayan (base 20)
𝋡·𝋭·𝋲·𝋤
Chinese
一萬三千五百六十四
Chinese (financial)
壹萬參仟伍佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٥٦٤ Devanagari १३५६४ Bengali ১৩৫৬৪ Tamil ௧௩௫௬௪ Thai ๑๓๕๖๔ Tibetan ༡༣༥༦༤ Khmer ១៣៥៦៤ Lao ໑໓໕໖໔ Burmese ၁၃၅၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,564 = 2
e — Euler's number (e)
Digit 13,564 = 6
φ — Golden ratio (φ)
Digit 13,564 = 6
√2 — Pythagoras's (√2)
Digit 13,564 = 7
ln 2 — Natural log of 2
Digit 13,564 = 3
γ — Euler-Mascheroni (γ)
Digit 13,564 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13564, here are decompositions:

  • 11 + 13553 = 13564
  • 41 + 13523 = 13564
  • 101 + 13463 = 13564
  • 107 + 13457 = 13564
  • 113 + 13451 = 13564
  • 167 + 13397 = 13564
  • 197 + 13367 = 13564
  • 227 + 13337 = 13564

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-34Fc
U+34FC
Other letter (Lo)

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

Hex color
#0034FC
RGB(0, 52, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.252.

Address
0.0.52.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.252

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

Musical pitch

Heard as a frequency, 13,564 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 13564 first appears in π at position 88,099 of the decimal expansion (the 88,099ordinal-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