7235
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8688
- Proper Divisor Sum (Aliquot Sum)
- 1453
- 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
- 5784
- Möbius Function
- 1
- Radical
- 7235
- 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
- Coordination sequence for MgNi2, Position Mg2.at n=21A009935
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 17.at n=43A031515
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 17.at n=4A031695
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049727.at n=42A049739
- Numbers n such that n^2-6 and n^2+6 are both prime.at n=33A108403
- Numbers whose square is the concatenation of two numbers k and k-9.at n=1A115447
- Numbers k such that k and k^2 use only the digits 2, 3, 4, 5 and 7.at n=4A137068
- Numbers which are the sum of 3 cubes of distinct odd primes.at n=19A138853
- Numbers which are the sum of three cubes of distinct primes.at n=37A138854
- Numbers n such that n and prime(n) contain prime digits only.at n=9A155088
- a(n) = 289n^2 + 2n.at n=4A158254
- Nonprimes with all digits distinct, all digits prime, and a nonprime number of digits.at n=12A165245
- Number of -2..2 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having one, three, four, five, six or seven distinct values for every i,j,k<=n.at n=5A211587
- Number of nondecreasing sequences of n 1..5 integers with every element dividing the sequence sum.at n=47A212533
- Number of tilings of an n X 1 rectangle (using tiles of dimension 1 X 1 and 2 X 1) that are not the concatenation of smaller equally-sized tilings.at n=20A224918
- Least odd number d such that the Collatz (3x+1) iteration of d has the following property: if the length of the iteration is b and the maximum value occurs at c, the ratio c/b is 1/n.at n=40A224994
- T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.at n=46A240412
- Number of 2Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.at n=8A240413
- a(n) is number of digits of the smallest term of the sequence A248857 which is of the form 4^n*(5^(2n-1)*10^m-1).at n=67A248858
- Number of n X 4 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value within 3 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down.at n=6A253000