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2,564

2,564 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.).
Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
240
Digital root
8
Palindrome
No
Bit width
12 bits
Reversed
4,652
Recamán's sequence
a(7,504) = 2,564
Square (n²)
6,574,096
Cube (n³)
16,855,982,144
Divisor count
6
σ(n) — sum of divisors
4,494
φ(n) — Euler's totient
1,280
Sum of prime factors
645

Primality

Prime factorization: 2 2 × 641

Nearest primes: 2,557 (−7) · 2,579 (+15)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 641 · 1282 (half) · 2564
Aliquot sum (sum of proper divisors): 1,930
Factor pairs (a × b = 2,564)
1 × 2564
2 × 1282
4 × 641
First multiples
2,564 · 5,128 (double) · 7,692 · 10,256 · 12,820 · 15,384 · 17,948 · 20,512 · 23,076 · 25,640

Sums & aliquot sequence

As a sum of two squares: 8² + 50²
As consecutive integers: 317 + 318 + … + 324
Aliquot sequence: 2,564 1,930 1,562 1,030 842 424 386 196 203 37 1 0 — terminates at zero

Representations

In words
two thousand five hundred sixty-four
Ordinal
2564th
Roman numeral
MMDLXIV
Binary
101000000100
Octal
5004
Hexadecimal
0xA04
Base64
CgQ=
One's complement
62,971 (16-bit)
In other bases
ternary (3) 10111222
quaternary (4) 220010
quinary (5) 40224
senary (6) 15512
septenary (7) 10322
nonary (9) 3458
undecimal (11) 1a21
duodecimal (12) 1598
tridecimal (13) 1223
tetradecimal (14) d12
pentadecimal (15) b5e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βφξδʹ
Mayan (base 20)
𝋦·𝋨·𝋤
Chinese
二千五百六十四
Chinese (financial)
貳仟伍佰陸拾肆
In other modern scripts
Eastern Arabic ٢٥٦٤ Devanagari २५६४ Bengali ২৫৬৪ Tamil ௨௫௬௪ Thai ๒๕๖๔ Tibetan ༢༥༦༤ Khmer ២៥៦៤ Lao ໒໕໖໔ Burmese ၂၅၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 2,564 = 1
e — Euler's number (e)
Digit 2,564 = 2
φ — Golden ratio (φ)
Digit 2,564 = 1
√2 — Pythagoras's (√2)
Digit 2,564 = 3
ln 2 — Natural log of 2
Digit 2,564 = 0
γ — Euler-Mascheroni (γ)
Digit 2,564 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2564, here are decompositions:

  • 7 + 2557 = 2564
  • 13 + 2551 = 2564
  • 43 + 2521 = 2564
  • 61 + 2503 = 2564
  • 97 + 2467 = 2564
  • 127 + 2437 = 2564
  • 181 + 2383 = 2564
  • 193 + 2371 = 2564

Showing the first eight; more decompositions exist.

Hex color
#000A04
RGB(0, 10, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.4.

Address
0.0.10.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.4

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

Position in π

The digit sequence 2564 first appears in π at position 7,064 of the decimal expansion (the 7,064ordinal-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.