14652
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 41496
- Proper Divisor Sum (Aliquot Sum)
- 26844
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 2442
- Omega Function (Ω)
- 6
- 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
- yes
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 71
- 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
- Susceptibility series for f.c.c. lattice.at n=4A002921
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 22.at n=10A031700
- Sums of distinct powers of 11.at n=18A033047
- Sums of 2 distinct powers of 11.at n=7A038490
- McKay-Thompson series of class 30d for Monster.at n=35A058625
- a(1)=1, a(n) is the smallest integer > a(n-1) such that the sum of elements of the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals n*(n+1)/2 the n-th triangular number.at n=21A071184
- Sum of two powers of 11.at n=11A073211
- Diagonal in array of n-gonal numbers A081422.at n=23A081438
- a(n) is the least number with n palindromic divisors.at n=20A087997
- Given n colors, sequence gives number of ways to color the vertices of a square such that no edge has the same color on both of its vertices.at n=11A091940
- Number of palindromic divisors of a(n) sets a new record.at n=14A093036
- Square array T(r,m) read by antidiagonals: number of cyclically reduced words of length m in F_r.at n=39A104000
- Numbers k that divide the sum of the digits of 2^k * k!.at n=24A108861
- Pentagonal numbers (A000326) whose digit reversal is the product of 2 palindromes greater than 1.at n=13A115703
- Pentagonal numbers (A000326) that are the product of 2 palindromes greater than 1.at n=14A115745
- a(1)=1, a(n)=a(n-1)+n if n even, a(n)=a(n-1)+n^2 if n is odd.at n=42A136047
- Pentagonal numbers > 0 which are not the difference of two larger pentagonal numbers.at n=19A136113
- Least pentagonal number P(m) > P(n) such that P(m)+P(n) is again a pentagonal number, 0 if no such m exists.at n=31A136114
- Pentagonal numbers (A000326) which are the sum of 2 other positive pentagonal numbers.at n=21A136117
- a(n) = A000203(n) * A024916(n).at n=21A143238