10464
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27720
- Proper Divisor Sum (Aliquot Sum)
- 17256
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 654
- Omega Function (Ω)
- 7
- 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
- 148
- 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
- Numbers k such that phi(k) + 9 | sigma(k).at n=8A015800
- Number of lines through exactly 6 points of an n X n grid of points.at n=52A018813
- 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 51.at n=27A031549
- Multiplicity of highest weight (or singular) vectors associated with character chi_28 of Monster module.at n=37A034416
- Multiplicity of highest weight (or singular) vectors associated with character chi_38 of Monster module.at n=36A034426
- Number of step cyclic shifted sequences using a maximum of three different symbols.at n=12A056411
- Number of 2n-move sequences on the 3 X 3 X 3 Rubik's Cube (only quarter-twists count as moves) that leave the cube unchanged.at n=3A060010
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 25 (most significant digit on right).at n=12A061978
- Numbers k that divide phi(k)^2 + sigma(k)^2.at n=26A068484
- a(n) = (sum of digits of n)^4 - (sum of digits^4 of n).at n=38A069964
- Numbers k such that iterating phi(sigma(k)-phi(k)) starting from k leads to the fixed point 8064.at n=7A077096
- a(n) is the difference between the largest and smallest integer solutions to n=x/pi(x), where pi(x) = A000720(x).at n=30A087236
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 1), (0, 1, 0), (1, -1, 0), (1, 0, -1)}.at n=9A148366
- Numbers k such that k^2 + 1 == 0 (mod 41^2).at n=12A157116
- Number of nondecreasing integer sequences of length 5 with sum zero and sum of absolute values 2n.at n=45A158139
- Number of partitions of n into fractions k/(k+1), 0 < k <= n.at n=13A171978
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208930; see the Formula section.at n=42A208930
- Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n.at n=31A211140
- Triangle read by rows: T(p,q) (1<=q<=p) is the hyper-Wiener index of the Cartesian product of the cycles C(p) and C(q) (Torus Grid Graph).at n=33A228314
- Series reversion of g.f. (1/2)*x*(-1; -x)_inf, where (a; q)_inf is the q-Pochhammer symbol.at n=11A278428