1566
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 3600
- Proper Divisor Sum (Aliquot Sum)
- 2034
- 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
- 504
- Möbius Function
- 0
- Radical
- 174
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 122
- 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
- Related to representations as sums of Fibonacci numbers.at n=37A006133
- Numbers k such that k^64 + 1 is prime.at n=15A006316
- Coordination sequence T2 for Zeolite Code AFR.at n=30A008020
- Coordination sequence T3 for Zeolite Code MEI.at n=29A008148
- Coordination sequence T2 for Zeolite Code MTN.at n=24A008187
- Expansion of e.g.f. tan(x*exp(x)).at n=6A009635
- Coordination sequence T3 for Zeolite Code -CHI.at n=25A009848
- Coordination sequence T1 for Zeolite Code RTE.at n=27A009890
- Expansion of Product_{k>=1} (1 - x^k)^9.at n=23A010817
- a(n) = floor( n*(n-1)*(n-2)/14 ).at n=29A011896
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=32A011901
- Numbers n such that phi(n) * sigma(n) + 9 is a perfect square.at n=24A015728
- Numbers k such that the continued fraction for sqrt(k) has period 22.at n=33A020361
- Fibonacci sequence beginning 4, 26.at n=10A022386
- a(n) = a(n-1) + c(n+1) for n >= 3, a( ) increasing, given a(1)=1, a(2)=8; where c( ) is complement of a( ).at n=49A022954
- Index of 5^n within the sequence of the numbers of the form 4^i*5^j.at n=51A025706
- Index of 8^n within the sequence of the numbers of the form 6^i*8^j.at n=51A025730
- a(n) = 3*n^2 - 7*n + 6.at n=24A027599
- a(n) = n^2 + n + 6.at n=39A027691
- Expansion of q^(-1/2) * (eta(q) * eta(q^2))^4 in powers of q.at n=50A030211