9657
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14820
- Proper Divisor Sum (Aliquot Sum)
- 5163
- 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
- 6048
- Möbius Function
- 0
- Radical
- 3219
- 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
- 60
- Smith Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=42A014088
- a(n) = n*(23*n - 1)/2.at n=29A022280
- Numbers k such that 75*2^k+1 is prime.at n=36A032387
- Base-7 palindromes that start with 4.at n=17A043018
- Number of trees with n nodes and 4 leaves.at n=34A055291
- Global ranks of terms of A057122: tells which terms of A014486 form rooted plane binary trees also when interpreted as codes for ordinary rooted planar trees.at n=26A057123
- Sum of even-indexed primes.at n=44A077126
- Odd squares written backwards and sorted.at n=45A107313
- Riordan array (1/(1-x-x^2), x(1+x)/(1-x-x^2)^2).at n=49A112973
- Triangle whose k-th column has e.g.f. exp(x)*sum{j=0..k, Bessel_I(k+j,2x)}.at n=58A116401
- a(n) = 8*n^2 - 4*n - 3.at n=34A118057
- Odd integers that do not generate monotonically decreasing infinitary aliquot sequences.at n=22A127667
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1000-1111-0110 pattern in any orientation.at n=13A146616
- Triangle T(n,k) read by rows. T(n,1)=1; T(n,k) = Sum_{i=1..k-1} ( T(n-i,k-1) + T(n-i,k) ), k>1.at n=71A175105
- Numbers such that n=2*k in triangle A175105.at n=5A179815
- Number of (n+1)X(n+1) 0..1 arrays with the permanents of 2X2 subblocks nondecreasing rightwards and downwards.at n=2A204715
- Number of (n+1)X4 0..1 arrays with the permanents of 2X2 subblocks nondecreasing rightwards and downwards.at n=2A204718
- T(n,k) = Number of (n+1) X (k+1) 0..1 arrays with the permanents of 2X2 subblocks nondecreasing rightwards and downwards.at n=12A204723
- Partial sums of number of overpartitions (A015128).at n=17A277643
- Sum of all the parts in the partitions of n into 5 parts.at n=29A308822