16330
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31104
- Proper Divisor Sum (Aliquot Sum)
- 14774
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6160
- Möbius Function
- 1
- Radical
- 16330
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 66
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Permutation of N induced by rotating the node 7 right in the infinite planar binary tree shown at A065658.at n=61A065672
- Sums of squared terms in rows of triangle A114172.at n=6A114175
- G.f.: (1+x^2)^2*(x^4-6*x^3+1)/(x^2-1)^4.at n=46A115046
- a(n) = 2025*n^2 - 649*n + 52.at n=2A156853
- Matrix inverse of A060187.at n=18A171273
- n^2 + {1,3,7} are primes.at n=41A182238
- a(n) = 2*n*(16*n - 13).at n=23A263228
- Molien series for invariants of finite Coxeter group A_8.at n=63A266777
- Expansion of Product_{i>=1, j>=1, k>=1, l>=1} (1 - x^(i*j*k*l))/(1 + x^(i*j*k*l)).at n=21A321302
- Numbers m such that m^2+1 is prime with (m-1)^2+1 and (m+1)^2+1 semiprimes.at n=28A321795
- Sum of the ninth largest parts of the partitions of n into 10 parts.at n=47A326590
- a(0) = a(1) = a(2) = 1; thereafter a(n) = a(n-1) - (-1)^n*a(n-2) + 2*a(n-3).at n=33A329301
- Total number of parts coprime to n in the partitions of n into 5 parts.at n=52A363323