7265
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8724
- Proper Divisor Sum (Aliquot Sum)
- 1459
- 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
- 5808
- Möbius Function
- 1
- Radical
- 7265
- Omega Function (Ω)
- 2
- 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
- 163
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- A015938(n)-2^n.at n=42A015939
- Numbers k such that the continued fraction for sqrt(k) has period 19.at n=41A020358
- Discriminants of quintic fields with 4 complex conjugates.at n=42A023685
- Least k such that first k terms of A022303 contain n more 2's than 1's.at n=8A025518
- a(n) = (d(n)-r(n))/5, where d = A026049 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=43A026051
- Multiplicity of highest weight (or singular) vectors associated with character chi_33 of Monster module.at n=36A034421
- Numerators of continued fraction convergents to sqrt(340).at n=8A041642
- a(n)=T(n,n), array T as in A049735.at n=34A049740
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 21.at n=13A051986
- In binary representation: least number, k, which occurs n times in its factorial.at n=21A093826
- a(1) = 2, a(2) = 2, a(3) = 1, a(n) = a(n-3) + floor(a(n-2)/2) for n >= 4.at n=58A130816
- Number of antichains in the first n elements of the infinite Boolean lattice.at n=29A132581
- Number of n X 2 1..4 arrays with all 1's connected, all 2's connected, all 3's connected, all 4's connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=42A164754
- Number of partitions p of n such that max(p)-min(p) = 5.at n=45A218568
- Number of n X n 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of the elements above it, modulo 3.at n=5A239023
- Number of nX6 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of elements above it, modulo 3.at n=5A239028
- T(n,k)=Number of nXk 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of the elements above it, modulo 3.at n=60A239030
- Number of 6 X n 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of the elements above it, modulo 3.at n=5A239033
- Numbers k such that 10^k + 987654321 is prime.at n=14A248351
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 139", based on the 5-celled von Neumann neighborhood.at n=47A270278