1616
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 3162
- Proper Divisor Sum (Aliquot Sum)
- 1546
- 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
- 800
- Möbius Function
- 0
- Radical
- 202
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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 inequivalent Costas arrays of order n under dihedral group.at n=12A001441
- Number of solid partitions of n supported on graph of cube.at n=16A003404
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation and reflection.at n=30A003453
- a(n) = Sum_{k=1..n-1} k XOR n-k.at n=47A006582
- Coordination sequence T1 for Zeolite Code ATS.at n=29A008038
- Coordination sequence T6 for Zeolite Code MFS.at n=25A008178
- Coordination sequence T4 for Zeolite Code TER.at n=27A016436
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTT = ZSM-23 Nan[AlnSi24-nO48] starting with a T1 atom.at n=10A019186
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite TON = Theta-1 Nan[AlnSi24-nO48] starting with a T1 atom.at n=10A019243
- Doublets: base-10 representation is the juxtaposition of two identical strings.at n=15A020338
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 2) and d(n) = (n-th number that is 1 or is not a Fibonacci number).at n=13A023488
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 2) and d(n) = (n-th number that is 1 or is not a Lucas number).at n=13A023496
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 1) and d(n) = (n-th number that is 1, 2, or 3, or is not a Lucas number).at n=14A023500
- Sum of distinct prime divisors of prime(n)*prime(n-1) - 1.at n=34A023521
- Numbers that are the sum of 4 nonzero squares in exactly 7 ways.at n=29A025363
- Index of 8^n within the sequence of the numbers of the form 7^i*8^j.at n=54A025731
- a(n) = greatest number in row n of A026098 that is not a positive power of 2.at n=38A026104
- Sum of squares of numbers in row n of array T given by A026758.at n=6A027237
- Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.at n=20A028604
- 1 together with numbers of the form p*q^4 and p^9, where p and q are distinct primes.at n=34A030628