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2,563

2,563 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.).

2,563 (two thousand five hundred sixty-three) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 11 × 233. Written other ways, in Roman numerals it is MMDLXIII and in binary, 101000000011.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
180
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
3,652
Recamán's sequence
a(7,506) = 2,563
Square (n²)
6,568,969
Cube (n³)
16,836,267,547
Divisor count
4
σ(n) — sum of divisors
2,808
φ(n) — Euler's totient
2,320
Sum of prime factors
244

Primality

Prime factorization: 11 × 233

Nearest primes: 2,557 (−6) · 2,579 (+16)

Divisors & multiples

All divisors (4)
1 · 11 · 233 · 2563
Aliquot sum (sum of proper divisors): 245
Factor pairs (a × b = 2,563)
1 × 2563
11 × 233
First multiples
2,563 · 5,126 (double) · 7,689 · 10,252 · 12,815 · 15,378 · 17,941 · 20,504 · 23,067 · 25,630

Sums & aliquot sequence

As consecutive integers: 1,281 + 1,282 228 + 229 + … + 238 106 + 107 + … + 127
Aliquot sequence: 2,563 245 97 1 0 — terminates at zero

Continued fraction of √n

√2,563 = [50; (1, 1, 1, 2, 14, 11, 5, 1, 1, 6, 1, 2, 4, 1, 49, 1, 4, 2, 1, 6, 1, 1, 5, 11, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
two thousand five hundred sixty-three
Ordinal
2563rd
Roman numeral
MMDLXIII
Binary
101000000011
Octal
5003
Hexadecimal
0xA03
Base64
CgM=
One's complement
62,972 (16-bit)
Scientific notation
2.563 × 10³
As a duration
2,563 s = 42 minutes, 43 seconds
In other bases
ternary (3) 10111221
quaternary (4) 220003
quinary (5) 40223
senary (6) 15511
septenary (7) 10321
nonary (9) 3457
undecimal (11) 1a20
duodecimal (12) 1597
tridecimal (13) 1222
tetradecimal (14) d11
pentadecimal (15) b5d

As an angle

2,563° = 7 × 360° + 43°
43° ≈ 0.75 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵βφξγʹ
Mayan (base 20)
𝋦·𝋨·𝋣
Chinese
二千五百六十三
Chinese (financial)
貳仟伍佰陸拾參
In other modern scripts
Eastern Arabic ٢٥٦٣ Devanagari २५६३ Bengali ২৫৬৩ Tamil ௨௫௬௩ Thai ๒๕๖๓ Tibetan ༢༥༦༣ Khmer ២៥៦៣ Lao ໒໕໖໓ Burmese ၂၅၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 2,563 = 0
e — Euler's number (e)
Digit 2,563 = 5
φ — Golden ratio (φ)
Digit 2,563 = 1
√2 — Pythagoras's (√2)
Digit 2,563 = 6
ln 2 — Natural log of 2
Digit 2,563 = 6
γ — Euler-Mascheroni (γ)
Digit 2,563 = 7

Also seen as

Unicode codepoint
Gurmukhi Sign Visarga
U+0A03
Spacing combining mark (Mc)

UTF-8 encoding: E0 A8 83 (3 bytes).

Hex color
#000A03
RGB(0, 10, 3)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.3.

Address
0.0.10.3
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.3

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

Musical pitch

Heard as a frequency, 2,563 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E7 (2637 Hz, -49¢ — about midway to D♯7)
  • Scientific pitch (C4 = 256 Hz): E7 (2580.3 Hz, -12¢)
  • Baroque pitch (A4 = 415 Hz): F7 (2635.1 Hz, -48¢ — about midway to E7)
Position in π

The digit sequence 2563 first appears in π at position 9,827 of the decimal expansion (the 9,827ordinal-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