1572
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3696
- Proper Divisor Sum (Aliquot Sum)
- 2124
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 520
- Möbius Function
- 0
- Radical
- 786
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 60
- 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
- Number of compositions of n into 4 ordered relatively prime parts.at n=20A000742
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=27A001276
- Cluster series for bond percolation problem on honeycomb.at n=11A003199
- a(n) = least integer m > a(n-1) such that m - a(n-1) != a(j) - a(k) for all j, k less than n; a(1) = 1, a(2) = 2.at n=38A004978
- Mian-Chowla sequence (a B_2 sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct.at n=32A005282
- Site percolation series for hexagonal lattice.at n=10A006739
- Coordination sequence T4 for Zeolite Code AFO.at n=26A008018
- Coordination sequence T1 for Zeolite Code AST.at n=29A008036
- Coordination sequence T4 for Zeolite Code HEU.at n=26A008119
- Coordination sequence T1 for Zeolite Code MER.at n=29A008160
- Aliquot sequence starting at 564.at n=2A014361
- Coordination sequence T1 for Zeolite Code OSI.at n=26A016430
- Coordination sequence T1 for Zeolite Code SAO.at n=31A019571
- a(n) = Sum_{k=1..n} k*floor( prime(k)/k ).at n=31A024927
- Index of 8^n within the sequence of the numbers of the form 3^i*8^j (A025615).at n=40A025728
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026626.at n=5A026962
- Shifts left 2 places under "EGJ" (unordered, element, labeled) transform.at n=9A032319
- Every run of digits of n in base 11 has length 2.at n=19A033009
- Numbers whose base-11 expansion has no run of digits with length < 2.at n=30A033024
- Number of partitions of n into parts 5k or 5k+1.at n=56A035367