7025
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8742
- Proper Divisor Sum (Aliquot Sum)
- 1717
- 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
- 5600
- Möbius Function
- 0
- Radical
- 1405
- 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
- 57
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 13.at n=36A020352
- Number of 2's in n-th term of A007651.at n=35A022467
- Numbers k such that 81*2^k+1 is prime.at n=48A032390
- a(0) = 1; a(n) = Sum_{0 <= k < n and gcd(k, n) != 1} a(k).at n=26A054251
- Average of row n of A082259.at n=22A082262
- Sum of the right diagonal in ordered 3 X 3 prime squares.at n=38A105091
- Number of compositions of n with exactly 2 adjacent equal parts (2 pairs or 1 triple.).at n=13A106358
- Expansion of g.f. x*(1+x+2*x^2+2*x^3+5*x^4+5*x^5-3*x^6+2*x^7-x^8-x^9)/(1-6*x^6-x^12).at n=29A116559
- Expansion of g.f. x*(1+x+2*x^2+2*x^3+5*x^4+5*x^5-3*x^6+2*x^7-x^8-x^9)/(1-6*x^6-x^12).at n=30A116559
- Number of base 31 n-digit numbers with adjacent digits differing by one or less.at n=6A126385
- Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 11.at n=31A146335
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1100-1111-1000 pattern in any orientation.at n=9A146721
- Numbers k such that the string k modulo 1000 is found at position k in the decimal digits of Pi.at n=22A153226
- a(n)=6*a(n-1)+a(n-2), n>2 ; a(0)=1, a(1)=5, a(2)=30 .at n=5A155195
- Start with a(1) = 1; then a(n) = smallest number > a(n-1) such that a(n) divides concat(a(1), a(2), ..., a(n)).at n=51A171785
- Eight white queens and one red queen on a 3 X 3 chessboard. G.f.: (1 + x)/(1 - 5*x - 5*x^2).at n=5A180033
- Triangle read by rows, derived from an array of sequences generated from (1 + x)/ (1 - r*x - r*x^2).at n=50A180165
- Number of integers k such that floor((r^n)/k)=n, where r = golden ratio = (1+sqrt(5))/2.at n=32A182613
- Number of n X 6 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.at n=29A188863
- G.f. satisfies: A(A(x)) = Sum_{n>=1} a(n)*x^n * (Sum_{k>=0} C(n+k-1,k)^2*x^k), where g.f. A(x) = Sum_{n>=1} a(n)*x^n.at n=5A193206