7672
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16560
- Proper Divisor Sum (Aliquot Sum)
- 8888
- 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
- 3264
- Möbius Function
- 0
- Radical
- 1918
- Omega Function (Ω)
- 5
- 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
- 132
- 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
- Expansion of exp(tan(x))*x.at n=8A009243
- Seidel's triangle, read by rows.at n=38A014781
- Discriminants of quintic fields with 4 complex conjugates.at n=46A023685
- Multiplicity of highest weight (or singular) vectors associated with character chi_191 of Monster module.at n=38A034579
- Number of invertible (-1,0,1) n X n matrices having (Tij = -Tji; i<j) such that all T^k (k= 1..12) are also (-1,0,1) matrices.at n=4A072148
- Expansion of eta(q^2)eta(q^10)^3/(eta(q^5)eta(q)^3) in powers of q.at n=13A095846
- Triangle read by rows: Each row is constructed by forming the partial sums of the previous row, reading from the right and at every other row repeating the final term.at n=39A099959
- Structured pentagonal hexacontahedral numbers (vertex structure 16).at n=6A100169
- Triangular matchstick numbers in the class of prime numbers: sum of n-th and next n primes.at n=32A105720
- Expansion of exp(x)/(1 - x - x^2/2!), where a(n) = 1 + n*a(n-1) + C(n,2)*a(n-2).at n=6A128230
- Sums of three consecutive hexagonal numbers.at n=35A129109
- Similar to A072921 but starting with 4.at n=36A152233
- 4 times heptagonal numbers: a(n) = 2*n*(5*n-3).at n=28A153784
- Partial sums of A000602.at n=15A173289
- Number of 4-step self-avoiding walks on an n X n square summed over all starting positions.at n=15A188149
- Sophie Germain 5-almost primes.at n=8A211162
- Total number of parts of multiplicity 7 in all partitions of n.at n=38A222707
- Number of permutations of [2n+8] in which the longest increasing run has length n+8.at n=3A230348
- a(n) = 4^n + 10*2^n + 4*3^n + 20.at n=6A254366
- Fourth partial sums of sixth powers (A001014).at n=3A254645