7472
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
- 4
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 14508
- Proper Divisor Sum (Aliquot Sum)
- 7036
- 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
- 3728
- Möbius Function
- 0
- Radical
- 934
- Omega Function (Ω)
- 5
- 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
- 88
- 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
- Numbers whose set of base-15 digits is {2,3}.at n=20A032815
- Numbers whose set of base-9 digits is {1,2}.at n=37A032930
- Numbers having three 2's in base 9.at n=33A043463
- Numbers whose base-3 representation has exactly 9 runs.at n=21A043589
- Numbers n such that number of runs in the base 3 representation of n is congruent to 1 mod 8.at n=37A043799
- Numbers n such that number of runs in the base 3 representation of n is congruent to 0 mod 9.at n=21A043806
- Numbers k such that number of runs in the base 3 representation of k is congruent to 9 mod 10.at n=21A043824
- 17-gonal (or heptadecagonal) numbers: a(n) = n*(15*n-13)/2.at n=32A051869
- Truncated triangular pyramid numbers: a(n) = Sum_{k=4..n} (k*(k+1)/2 - 9).at n=31A051937
- Number of distinct non-extendable sequences X={x(1),x(2),...,x(k)} where x(1)=1, the x(i)'s are distinct elements of {1,...,n} with |x(i)-x(i+1)|=1 or 2, for i=1,2,...,k.at n=14A054668
- a(n) = -a(n-1) -a(n-2) -a(n-3) +a(n-4), a(0)=0, a(1)=1, a(2)=-1, a(3)=0.at n=39A100329
- Binomial transform of A079619, assuming offset zero there.at n=12A105143
- Number of partitions of n in which each part, with the possible exception of the largest, occurs at least twice.at n=41A116931
- a(n) = 8*n^2 - 7*n + 1.at n=31A125201
- a(n) = 3*A146085(n) - 1.at n=44A146087
- a(n+1) = a(n-3) + a(n-2) - a(n-1) + a(n) starting with 1, 2, 3, 4.at n=33A180046
- Number of distinct solutions of sum{i=1..4}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 2..n-2.at n=10A180816
- Number of distinct solutions of sum{i=1..4}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 2..n-2.at n=10A180827
- Number of ways to place n nonattacking composite pieces queen + rider[4,5] on an n X n chessboard.at n=12A189881
- Erroneous version of A000136.at n=7A213429