14120
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31860
- Proper Divisor Sum (Aliquot Sum)
- 17740
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5632
- Möbius Function
- 0
- Radical
- 3530
- 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
- 32
- 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
- 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 59.at n=31A031557
- Array T(n,k) = number of conjugacy classes of subgroups of index k in free group of rank n, read by antidiagonals.at n=24A057004
- Number of conjugacy classes of subgroups of index n in free group of rank 4.at n=3A057007
- Number of conjugacy classes of subgroups of index 4 in free group of rank n.at n=3A057010
- Number of conjugacy classes of subgroups of index n in free group of rank n.at n=3A057013
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both semiprime.at n=25A085774
- Related to enumeration of branched orientable surface coverings over a non-orientable surface.at n=1A112614
- Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n.at n=23A114169
- Twice 11-gonal numbers: a(n) = n*(9*n-7).at n=40A152995
- Number of n X 3 0..1 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.at n=7A202974
- T(n,k)=Number of nXk 0..1 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.at n=47A202979
- T(n,k)=Number of nXk 0..1 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.at n=52A202979
- Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X 2 array.at n=19A219621
- Number of (n+1) X (4+1) 0..3 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 9.at n=6A234136
- Number of (n+1) X (7+1) 0..3 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 9.at n=3A234139
- 27-gonal pyramidal numbers: a(n) = n*(n+1)*(25*n-22)/6.at n=15A256647
- Numbers k such that 23*10^k - 7 is prime.at n=29A270738
- Numbers k such that Bernoulli number B_{k} has denominator 13530.at n=8A295587
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) - 1, where a(0) = 1, a(1) = 5, b(0) = 2, b(1) = 3, b(2) = 4, and (a(n)) and (b(n)) are increasing complementary sequences.at n=16A295966
- a(n) is the sum, over all overpartitions of n, of the non-overlined parts.at n=14A335651