9856
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 24480
- Proper Divisor Sum (Aliquot Sum)
- 14624
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 154
- Omega Function (Ω)
- 9
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- Degrees of irreducible representations of McLaughlin group McL.at n=21A003909
- Degrees of irreducible representations of McLaughlin group McL.at n=20A003909
- a(n) = n^2*(5*n-3)/2.at n=16A006597
- Theta series of {D_7}* lattice.at n=39A008423
- a(n) = dot_product(1,2,...,n)*(7,8,...,n,1,2,3,4,5,6).at n=26A026049
- Expansion of (theta_3(z)*theta_3(7z) + theta_2(z)*theta_2(7z))^4.at n=12A028596
- 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 49.at n=26A031547
- Number of 2n-bead balanced binary strings, rotationally inequivalent to reverse, complement and reversed complement.at n=8A045657
- Number of 2n-bead balanced binary strings of fundamental period 2n, rotationally inequivalent to reverse, complement and reversed complement.at n=8A045666
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049747.at n=39A049750
- a(n) = ((6*n+10)(!^6))/10(!^6), related to A034724 (((6*n+4)(!^6))/4 sextic, or 6-factorials).at n=3A053103
- The n-th n-gonal number: a(n) = n*(n^2 - 3*n + 4)/2.at n=28A060354
- Numbers k such that sigma(x) = k has exactly 6 solutions.at n=42A060662
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=30A063362
- Number of subgroups of the group C_n X C_n X C_n (where C_n is the cyclic group of order n).at n=33A064803
- Numbers whose digital sum is equal to the sum of primes from their smallest to largest prime factor.at n=16A076406
- Numbers k such that sopfr(k)=tau(k).at n=19A078511
- Number of minimax trees on n nodes.at n=6A080795
- Numbers k such that the difference between the largest and the smallest prime divisor of k equals the number of prime divisors of k (counted with multiplicity).at n=46A086770
- Triangle read by rows: T(n,k) is the number of noncrossing trees with n edges and k leaves.at n=32A091320