15402
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 32832
- Proper Divisor Sum (Aliquot Sum)
- 17430
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 1
- Radical
- 15402
- 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
- 53
- 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
- Non-palindromic number and its reversal are both multiples of 17.at n=36A062915
- A014486-encoding of symmetric binary trees.at n=9A083941
- Number of mobiles (cycle rooted trees) with n generators.at n=8A108526
- Number of (n+1)X3 binary arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.at n=4A185480
- Number of (n+1) X 6 binary arrays with every 2 X 2 subblock determinant equal to some horizontal or vertical neighbor 2 X 2 subblock determinant.at n=1A185483
- T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.at n=16A185487
- T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.at n=19A185487
- Number of compositions of n such that the greatest part is not divisible by the number of parts.at n=14A199885
- G.f.: 1/(1 - x/(1 - x^2/(1 - x^5/(1 - x^12/(1 - x^29/(1 - x^70/(1 -...- x^Pell(n)/(1 -...)))))))), a continued fraction.at n=21A206743
- Number of length 4+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth.at n=12A248541
- Number of acyclic orientations of the Turán graph T(n,3).at n=8A266858
- Number A(n,k) of acyclic orientations of the Turán graph T(n,k); square array A(n,k), n>=0, k>=1, read by antidiagonals.at n=63A267383
- Number of compositions (ordered partitions) of n into prime parts that do not divide n.at n=35A300703
- a(n) = 108*n^2 - 228*n + 114 (n>=2).at n=11A304618
- Unitary untouchable numbers with a record gap to the next unitary untouchable number.at n=4A306748
- Isomers of deoxyaldytols.at n=6A323934
- a(n) = Sum_{k=0..n} q(n,k) * !k, where q(n,k) = number of partitions of n into k distinct parts and !k = subfactorial of k.at n=30A331518
- Composite squarefree numbers k = Product_{i} p_i such that k^2 is divisible by Sum_{i} p_i^2.at n=2A332738
- Number of integer partitions of n whose multiset of multiplicities has integer mean.at n=44A360069
- Expansion of g.f. A(x) satisfying A(x) = 1 + x*(A(x)^2 - A(-x)^2)/2 + x*sqrt( (A(x)^4 + A(-x)^4)/2 ).at n=9A368593