6652
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11648
- Proper Divisor Sum (Aliquot Sum)
- 4996
- 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
- 3324
- Möbius Function
- 0
- Radical
- 3326
- 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
- 75
- 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
- a(n) = a(n-1) + a(n-1-(number of odd terms so far)).at n=32A007604
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=56A011907
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=10A020427
- Every suffix prime and no 0 digits in base 7 (written in base 7).at n=18A024782
- a(n) = A026637(2*n-1, n-2).at n=6A026642
- Number of distinct products i*j*k with 1 <= i < j < k <= n.at n=49A027430
- Number of permutations of length n which avoid the patterns 2143, 1324 (smooth permutations); or avoid the patterns 1342, 2431; etc.at n=8A032351
- Sums of distinct powers of 9.at n=23A033046
- Numbers in which all pairs of consecutive base-7 digits differ by 3.at n=32A033078
- Positive numbers having the same set of digits in base 2 and base 9.at n=19A037414
- Sums of 4 distinct powers of 9.at n=1A038489
- Numbers having four 1's in base 9.at n=1A043460
- Same rule as Aitken triangle (A011971) except a(0,0)=0, a(1,0)=1.at n=41A046936
- Number of lower Wythoff primes (A095280) in range ]2^n,2^(n+1)].at n=16A095290
- Least positive k such that k * Z^n + 1 is prime, where Z = 10^100+267, the first prime greater than a googol.at n=13A108344
- T(n, k) = 3*T(n-1, k-1) + T(n-1, k) for k < n and T(n, n) = 1, T(n, k) = 0, if k < 0 or k > n; triangle read by rows.at n=41A119673
- a(n) = 3*A146085(n) - 2.at n=31A146091
- G.f.: x*(1+x+x^2)*(1+6*x+8*x^2+4*x^3-x^4)/((1+x)^2*(1-x)^4).at n=15A147691
- The initial decimal digits of 2^a(n) are the decimal digits of n followed by n.at n=27A171652
- Triangle read by rows: T(n,k) is the number of 2-compositions of n having k columns with only nonzero entries (0<=k<=floor(n/2)).at n=27A181307