9862
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14796
- Proper Divisor Sum (Aliquot Sum)
- 4934
- 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
- 4930
- Möbius Function
- 1
- Radical
- 9862
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 73
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of undirected closed knight's tours on a 2n X 2n chessboard.at n=2A001230
- Coordination sequence for sigma-CrFe, Position Xc.at n=25A009961
- Numbers k such that the continued fraction for sqrt(k) has period 90.at n=19A020429
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...).at n=24A024479
- 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 98.at n=16A031596
- Number of days in n years (n=3 is the first leap year).at n=26A033172
- Number of days in n years (n=2 is the first leap year).at n=26A033173
- Number of days in n years (n=1 is the first leap year).at n=26A033174
- a(n) = Sum{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; initial terms are 2,2,3.at n=15A049873
- Numbers n such that 155*2^n-1 is prime.at n=17A050619
- Euler transform of reduced totient function psi(n), cf. A002322.at n=20A061257
- Numbers with distinct digits appearing in partition of decimal expansion of Pi.at n=19A104819
- Semiprimes in A056109.at n=25A113528
- Index of Mersenne number A000225 that is also Mersenne prime A000668, minus n-th prime: a(n) = A000043(n) - A000040(n).at n=21A153801
- a(n) = largest number k such that k and k * n taken together have distinct digits, or 0 if no such k exists.at n=34A173780
- Number of closed Knight's tours on a 6 X n board.at n=5A175881
- Number of strings of numbers x(i=1..n) in 0..2 with sum i^2*x(i) equal to n^2*2.at n=18A183946
- Number of strict partitions of 2n that include a partition of n.at n=32A237258
- a(n) = n^3/3 - 7*n/3 + 4.at n=31A270809
- Number of longest cycles in the n X n knight graph.at n=5A301649