6974
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11448
- Proper Divisor Sum (Aliquot Sum)
- 4474
- 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
- 3160
- Möbius Function
- -1
- Radical
- 6974
- 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
- no
- 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
- Number of minimal unavoidable n-celled pebbling configurations.at n=9A007901
- Coordination sequence for MgZn2, Mg position.at n=21A009939
- a(n) = position of n^3 + 9 in A003072.at n=39A024971
- a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).at n=50A026062
- Numbers whose base-7 representation contains exactly four 2's.at n=25A043404
- Number of "labeled" cyclic subgroups of alternating group A_n.at n=7A051636
- Number of symmetric nonnegative integer 9 X 9 matrices with sum of elements equal to 4*n, under action of dihedral group D_4.at n=6A054549
- Number of cyclic subgroups of Chevalley group A_n(2) (the group of nonsingular n X n matrices over GF(2) ).at n=3A062250
- Integer part of log(n^n)^(1 + log(log(1 + n))).at n=20A062479
- Number of basis partitions of n+64 with Durfee square size 8.at n=21A069251
- Expansion of (1-x)^(-1)/(1-x+x^2+2*x^3).at n=20A077873
- a(n) is the smallest number x such that gcd(prime(x)+1,x+1) = n.at n=44A084316
- a(n) is the minimal area of a convex lattice polygon with 2n sides.at n=35A089187
- a(n) = (1/24)*(n+1)*(n+6)*(n^3+26*n^2+225*n+636).at n=6A090948
- First occurrence of n in A093723, or -1 if n does not occur.at n=50A093724
- Values of k such that floor(k*tanh(Pi)) = floor((k+1) tanh(Pi)).at n=25A096613
- Row sums of the triangle A097883.at n=23A098404
- Numbers k such that 2^(2*(k+1)) + 2^k - 1 is prime.at n=29A105181
- Numbers n such that n^24 + 1 = p*q with p,q distinct primes.at n=14A119982
- a(n) = Sum_{i=0..n} C(2*n-i,n+i)*2^i.at n=7A133915