1612
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3136
- Proper Divisor Sum (Aliquot Sum)
- 1524
- 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
- 720
- Möbius Function
- 0
- Radical
- 806
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 21
- 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
- Coordination sequence T2 for Zeolite Code ATS.at n=29A008039
- Coordination sequence for MgNi2, Position Mg1.at n=10A009936
- Coordination sequence T2 for Zeolite Code OSI.at n=26A016431
- Number of lines through exactly 6 points of an n X n grid of points.at n=31A018813
- Number of lines through exactly 10 points of an n X n grid of points.at n=58A018817
- Numbers k such that the continued fraction for sqrt(k) has period 20.at n=41A020359
- a(n) = n*(19*n + 1)/2.at n=13A022277
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor((n+1)/2).at n=23A024305
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = (natural numbers >= 3).at n=22A024306
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor(n/2).at n=22A024868
- (d(n)-r(n))/2, where d = A008778 and r is the periodic sequence with fundamental period (1,1,0,1).at n=23A026052
- 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 20.at n=22A031518
- "DHK[ 6 ]" (bracelet, identity, unlabeled, 6 parts) transform of 1,1,1,1,...at n=13A032247
- Numbers k such that 243*2^k+1 is prime.at n=16A032498
- a(n+1) = a(n) + sum of squares of digits of a(n).at n=28A033936
- a(n) = prime(n) + A033955(n).at n=43A033956
- Decimal part of a(n)^(1/n) starts with a 'nine digits' anagram.at n=12A035136
- Number of primes p between powers of 2, 2^n < p <= 2^(n+1).at n=14A036378
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5) < cn(1,5).at n=50A036858
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 3.at n=3A038634