8650
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16182
- Proper Divisor Sum (Aliquot Sum)
- 7532
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3440
- Möbius Function
- 0
- Radical
- 1730
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 140
- 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
- a(n) = (1/3!)*(n^3 + 24*n^2 + 107*n + 90), compare A059604.at n=30A059605
- Generalized Mills numbers: a(n) = floor(c^(b^n)) where c=4.4, b=1.179.at n=10A060449
- Number of squares (of another matrix) in M_2(n) - the ring of 2 X 2 matrices over Z_n.at n=13A068197
- Indices of semiprimes where largest gap occurs. Or, positions of records in A065516.at n=13A085809
- Sum of the numbers of unitary divisors of the binomial coefficients C(n,k), k=0..n.at n=40A103445
- Expansion of -x*(x^2+1)*(x+1)^2/((2*x^3+x^2-1)*(x^4+1)).at n=22A107852
- Numbers k such that 2^k, 3^k, 5^k, 7^k, 11^k, 13^k, 17^k and 19^k have even digit sum.at n=26A119897
- Least k such that the difference between consecutive semiprimes A065516(k) equals n, or 0 if no such k exists.at n=31A123375
- Numbers of the form (square + 1) that are not squarefree.at n=10A124809
- Numbers such that the digital sums in bases 3, 4, 5 and 6 all are equal.at n=16A135126
- a(n) = 961*n + 1.at n=8A158414
- Number of cycles of n-digit numbers (including fixed points) under the Kaprekar map A151949.at n=55A164731
- a(n) = 14*n^2 - 4*n.at n=25A195023
- G.f.: A(x) = exp( Sum_{n>=1} (Sum_{k=0..2*n} A027907(n,k)^2 * x^k / A(x)^k) * x^n/n ).at n=17A200377
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208612; see the Formula section.at n=50A208613
- Number of ways of refining the partition n^1 to get 1^n.at n=8A213427
- Number of terms of 2^j + 3^k <= 10^n.at n=34A219835
- Numbers whose square is a fourth power plus a prime.at n=16A236767
- a(n) = 9*n^2 + 1.at n=31A247792
- Number of (n+2) X (7+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 1 3 6 or 7.at n=2A252304