2572
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4508
- Proper Divisor Sum (Aliquot Sum)
- 1936
- 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
- 1284
- Möbius Function
- 0
- Radical
- 1286
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 27
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers k such that phi(2k+1) < phi(2k).at n=34A001837
- Numbers that are the sum of 10 positive 6th powers.at n=36A003366
- Numbers that are the sum of 5 positive 7th powers.at n=9A003372
- Pentagonal numbers written backwards.at n=43A004163
- Numbers that are the sum of at most 5 positive 7th powers.at n=34A004867
- Numbers that are the sum of at most 6 positive 7th powers.at n=44A004868
- Coordination sequence T1 for Zeolite Code VFI.at n=39A008245
- Coordination sequence T2 for Zeolite Code VFI.at n=39A008246
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=16A020387
- Conjecturally, number of infinitely-recurring prime patterns on n consecutive integers.at n=26A023192
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = (primes).at n=45A024377
- Duplicate of A024377.at n=45A025069
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023532, t = (primes).at n=44A025077
- Inverse Euler transform of {1, primes}.at n=44A030011
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 24.at n=40A031522
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 20 ones.at n=39A031788
- Coordination sequence T3 for Zeolite Code SBS.at n=40A033610
- a(n) = ceiling((n + 7/10)^3).at n=12A034133
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 5).at n=50A035572
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 3 and 4 (mod 5).at n=44A035587