15072
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 39816
- Proper Divisor Sum (Aliquot Sum)
- 24744
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4992
- Möbius Function
- 0
- Radical
- 942
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 133
- 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
- Number of partitions into non-integral powers.at n=44A000327
- Number of collinear point-triples in an n X n grid.at n=12A000938
- Number of unlabeled identity connected unit interval graphs with n nodes.at n=14A007122
- For any circular arrangement of 0..n-1, let S = sum of squares of every sum of two contiguous numbers; then a(n) = # of distinct values of S.at n=44A007773
- a(n) = Lucas(n+4) - (3*n+7).at n=15A023537
- T(2n+1,n+1), T given by A027011.at n=8A027016
- Duplicate of A023537.at n=15A027962
- 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 61.at n=29A031559
- "DHK[ 8 ]" (bracelet, identity, unlabeled, 8 parts) transform of 1,1,1,1,...at n=13A032249
- Number of different cuboids with volume (pq)^n, where p,q are distinct prime numbers.at n=23A101427
- Number of non-intersecting polygons that it is possible for an accelerating ant to produce with n steps (rotations & reflections not included). On step 1 the ant moves forward 1 unit, then turns left or right and proceeds 2 units, then turns left or right until at the end of its n-th step it arrives back at its starting place.at n=38A101856
- Numbers with no 1's in their base-3, base-4, and base-5 expansions. Intersection of A005823, A023709, and A023725.at n=7A117482
- Numbers with no 1's in base 3 & 4 expansions.at n=42A117496
- Number of magical labelings of the octahedral graph of magic sum n.at n=9A125198
- A090801(2n-1)+A090801(2n).at n=33A140958
- a(n) = A000010(n) * A002088(n).at n=44A143231
- 6 times heptagonal numbers: a(n) = 3*n*(5*n-3).at n=32A153786
- Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives numbers belonging to cycles, including fixed points.at n=10A165076
- Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives numbers belonging to cycles of length greater than 1.at n=9A165078
- Numbers n such that 3 and 5 do not divide swing(n) = A056040(n).at n=44A196748