7674
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15360
- Proper Divisor Sum (Aliquot Sum)
- 7686
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2556
- Möbius Function
- -1
- Radical
- 7674
- Omega Function (Ω)
- 3
- 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
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Powers of fifth root of 12 rounded down.at n=18A018147
- Number of distinct prime signatures of the positive integers up to 2^n.at n=45A025488
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 3 and 4 (mod 5).at n=57A035590
- a(0) = 1; a(n) = Sum_{0 <= k < n and gcd(k,n) = 1} a(k).at n=17A045545
- a(n)=Sum{T(n,j): j=1,2,...,n}, array T given by A048212.at n=21A048222
- Numbers m such that the numerator of Sum_{i=1..m} (i-1)/i is prime.at n=54A091815
- Numbers m such that f(k) * 2^m - 1 is prime, where f(j) = A070826(j) and k is the number of decimal digits of 2^m.at n=33A095991
- Partial sums of A079062.at n=24A177455
- Number of nondecreasing arrangements of n numbers x(i) in -(n+6)..(n+6) with the sum of sign(x(i))*x(i)^2 zero.at n=6A188001
- Number of nondecreasing arrangements of 7 numbers x(i) in -(n+5)..(n+5) with the sum of sign(x(i))*x(i)^2 zero.at n=7A188007
- a(n) = Sum_{k=1..n} lcm(k,k')/gcd(k,k'), where n' is arithmetic derivative of n.at n=43A190120
- Triangle read by rows: T(n,k) is the number of dispersed Dyck paths of semilength n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having k UUU's (U=(1,1)).at n=46A191518
- Number of dispersed Dyck paths of semilength n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having no UUU's (U=(1,1)).at n=16A191519
- Conjectured number of digits in highest power of n with no four consecutive identical digits.at n=21A216142
- The number of necklaces with n beads of white and red colors, including at least three white ones.at n=15A227910
- a(n) = 7*n^2 + 2*n - 15.at n=32A239796
- Smallest k such that A002522(k) and A002522(k+2n) are successive primes of the form m^2+1.at n=20A245463
- A specially constructed B_2 sequence with sum of reciprocals greater than that of the Mian-Chowla sequence A005282.at n=60A259964
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 229", based on the 5-celled von Neumann neighborhood.at n=21A270948
- E.g.f. satisfies A(x) = 1/(1 - x)^(x * A(x)^2).at n=6A356795