15614
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24168
- Proper Divisor Sum (Aliquot Sum)
- 8554
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7560
- Möbius Function
- -1
- Radical
- 15614
- Omega Function (Ω)
- 3
- 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
- 84
- 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
- Convolution of natural numbers with Beatty sequence for the golden mean A000201.at n=37A023541
- a(0) = 0; for n>0, a(n) = maximal number of regions into which space can be divided by n spheres.at n=37A046127
- a(n) = (1/3!)*(n^3 + 24*n^2 + 107*n + 90), compare A059604.at n=38A059605
- Integers m such that the base-10 digit concatenation 2//m//3//m//5//m...//prime(49)//m//prime(50) is prime.at n=35A084048
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202970; by antidiagonals.at n=24A202971
- Number of nondecreasing -5..5 vectors of length n whose dot product with some nonincreasing -5..5 vector equals n.at n=6A226396
- Number of nondecreasing -n..n vectors of length 7 whose dot product with some nonincreasing -n..n vector equals 7.at n=4A226404
- Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 7 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3*floor(n/2), read by rows.at n=38A238555
- G.f.: (1 + x^4 + x^5 + x^6 + x^10 + x^11 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).at n=35A256975
- Indices of primes in A026007.at n=42A285223
- a(n) is the length of longest subsequence common to both the n-th Thue-Morse word and its bitwise complement.at n=13A297618
- Expansion of Product_{j>=1} (1 + x^j*Product_{k>=1} (1 + x^k)^j).at n=12A307569
- a(n) is the number of distinct five-cuboid combinations that fill an n X n X n cube with cuboids of different volumes.at n=10A387040
- a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units without partitioning a triangle into 3 element sets of trapezoids.at n=26A391452