1024
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 11
- Divisor Sum
- 2047
- Proper Divisor Sum (Aliquot Sum)
- 1023
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 512
- Möbius Function
- 0
- Radical
- 2
- Omega Function (Ω)
- 10
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- yes
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 10
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- tausendvierundzwanzig· ordinal: tausendvierundzwanzigste
- English
- one thousand twenty-four· ordinal: 1024th
- Spanish
- mil veinticuatro· ordinal: 1024º
- French
- mille vingt-quatre· ordinal: mille vingt-quatrième
- Italian
- milleventiquattro· ordinal: 1024º
- Latin
- mille viginti quattuor· ordinal: 1024.
- Portuguese
- mil e vinte e quatro· ordinal: 1024º
Appears in sequences
- Powers of 4: a(n) = 4^n.at n=5A000302
- Number of permutations of [n] in which the longest increasing run has length 5.at n=7A000456
- n followed by n^2.at n=63A000463
- Squares that are not the sum of 2 nonzero squares.at n=21A000548
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=35A000549
- Fifth powers: a(n) = n^5.at n=4A000584
- Median Euler numbers (the middle numbers of Arnold's shuttle triangle).at n=4A000657
- Moser-de Bruijn sequence: sums of distinct powers of 4.at n=32A000695
- a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3), n > 3, with a(0)=a(1)=a(2)=0, a(3)=1.at n=12A000749
- Number of n-step self-avoiding walks on f.c.c. lattice ending at point with x = 3.at n=1A000768
- Jordan-Polya numbers: products of factorial numbers A000142.at n=31A001013
- Perfect powers: m^k where m > 0 and k >= 2.at n=41A001597
- a(n) = n*2^(n-1).at n=8A001787
- Squares written in base 7.at n=18A002440
- Squares and cubes.at n=39A002760
- a(n) = max_{k=0..n} k^(n-k).at n=9A003320
- Numbers that are the sum of 2 positive cubes.at n=43A003325
- Numbers that are the sum of 4 nonzero 4th powers.at n=48A003338
- Numbers that are the sum of 8 positive 7th powers.at n=8A003375
- Numbers that are the sum of 4 nonzero 8th powers.at n=4A003382