16468
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 13772
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7832
- Möbius Function
- 0
- Radical
- 8234
- 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
- 128
- 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
- 10-gonal (or decagonal) pyramidal numbers: a(n) = n*(n + 1)*(8*n - 5)/6.at n=23A007585
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t(n)=2*n+1 (odd numbers).at n=44A023865
- Numbers whose set of base-11 digits is {1,4}.at n=34A032823
- Sums of 4 distinct powers of 4.at n=38A038472
- Numbers whose base-4 representation contains exactly four 0's and four 1's.at n=3A045037
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=20A045247
- Numbers k such that phi((prime(k)-1)/2) = sigma(k).at n=38A068474
- A106486-encodings of combinatorial games with value 2.at n=22A125995
- Even, nonzero decagonal pyramidal numbers.at n=10A218331
- A recurrence relation conditioned on the primality of the preceding terms.at n=40A236768
- Product of n and the sum of remainders of n mod k, for k = 1, 2, 3, ..., n.at n=45A256532
- Analog of Motzkin numbers for Coxeter type D.at n=9A298300
- Sum of the even parts in the partitions of n into 4 parts.at n=46A309519
- Triangle read by rows: T(n,k) is the coefficient of x^k in the ZZ polynomial of the hexagonal graphene flake O(3,3,n).at n=19A338158
- Triangle read by rows: T(n,k) is the coefficient of x^k in the ZZ polynomial of the hexagonal graphene flake O(3,4,n).at n=12A338244
- a(n) = Sum_{i|n, j|n, k|n} i*j*k/gcd(i,j,k).at n=25A344133
- Numbers k such that A037276(k) == -1 (mod k).at n=11A351975