15750
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
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 48672
- Proper Divisor Sum (Aliquot Sum)
- 32922
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3600
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 7
- 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
- yes
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 128
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=45A000092
- Theta series of A_6 lattice.at n=19A008446
- Triangle of numbers arising from analysis of Levine's sequence A011784.at n=28A014621
- From George Gilbert's marks problem: jumping 4 marks at a time (initial positions).at n=17A019595
- Expansion of g.f. (1+2*x+3*x^2)/(1-x-x^2-x^3-x^4).at n=14A028831
- A convolution triangle of numbers obtained from A036083.at n=10A030527
- Numbers in which all pairs of consecutive base-7 digits differ by 3.at n=41A033078
- Triangle of coefficients of ordered cycle-index polynomials: T(n,k) = binomial(n,k)*Bell(k)*Bell(n-k).at n=40A033306
- Expansion of (-1+1/(1-5*x)^5)/(25*x); related to A036071.at n=4A036083
- a(n) = n^2*(n+1)*(n+2)!/48.at n=3A037959
- Sums of two distinct powers of 5.at n=18A038474
- Sums of two powers of 5.at n=24A055237
- 4n^2+1, 2n^2+1, 2n^2-1 are all prime.at n=36A055755
- Number of n-bead necklaces with exactly five different colored beads.at n=7A056285
- Number of primitive (period n) n-bead necklaces with exactly five different colored beads.at n=7A056290
- Triangle T(n,k) = binomial(n+2,k+1)*(binomial(n+2,k+1)-1), n >=0, 0 <= k <= n.at n=32A065420
- Triangle T(n,k) = binomial(n+2,k+1)*(binomial(n+2,k+1)-1), n >=0, 0 <= k <= n.at n=31A065420
- a(n) = n^3*Product_{distinct primes p dividing n} (1+1/p^3).at n=24A065959
- Nonsquares which are the product of two numbers with the same digits (leading zeros are forbidden).at n=42A072443
- Nonsquares with A072594(n) = 0.at n=29A072596