7604
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13314
- Proper Divisor Sum (Aliquot Sum)
- 5710
- 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
- 3800
- Möbius Function
- 0
- Radical
- 3802
- Omega Function (Ω)
- 3
- 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
- 31
- 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
- Molien series for alternating group Alt_8 (or A_8).at n=38A008631
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=60A011909
- Triangle of the square of the normalized, unsigned Stirling matrix of the first kind.at n=10A027477
- First column of triangle A027477, constructed from the Stirling numbers of the first kind.at n=4A027486
- Numbers k such that 285*2^k-1 is prime.at n=37A050901
- Least k such that gcd(prime(k)+1, prime(k+1)+1) = 2n.at n=16A067603
- Natural two base element sequence based on Pi and e and a prime sequence.at n=5A088588
- An improved natural sequence based on two base scales Pi and e and the prime sequence.at n=6A088589
- p such that p^4 + q^4 = r^4 + s^4 = a(n).at n=23A088728
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having abscissa of the first return to the x-axis equal to 2k (1 <= k <= n).at n=48A129159
- a(n) is the smallest number such that twice the number of divisors of (a(n)-n)/3 gives the n-th term in the first differences of the sequence produced by the Flavius Josephus sieve, A000960.at n=43A130826
- a(n) = 5*n^2 - 1.at n=38A134538
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a tee 1,1 1,2 1,3 2,2 in any orientation.at n=10A145927
- a(n) = 4*(5*n^2 - 5*n + 1).at n=19A193448
- Numbers n such that n!8+1 is prime (for n!8 see A114800).at n=39A204661
- Number of (n+3) X 5 0..2 matrices with each 4 X 4 subblock idempotent.at n=7A224722
- T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent.at n=37A224728
- Numbers m such that there is a k with 2^m/(m+1) < binomial(m,k) <= 2^m/m and k < m/2.at n=39A229485
- G.f. A(x) satisfies: A(x)^2 = A( x^2/(1-4*x) ), with A(0) = 0.at n=7A264224
- a(n) = 247*2^n - 300.at n=4A278123