7461
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10790
- Proper Divisor Sum (Aliquot Sum)
- 3329
- 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
- 4968
- Möbius Function
- 0
- Radical
- 2487
- 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
- 70
- 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
- Number of partitions of n into parts 3k or 3k+1.at n=46A035360
- Odd numbers in sorted order from generation 2 onwards.at n=25A048462
- Diagonal of triangular spiral in A051682.at n=40A081268
- a(n) = ceiling(((1*n^0 + 1*n^1 + 2*n^2 + 4*n^3)/(1*n^0 + 2*n^1 + 1*n^2))^2).at n=22A085505
- A Chebyshev transform of the central Delannoy numbers.at n=6A101106
- Riordan array (1/(1+x), x*(1-2*x)/(1+x)^2).at n=50A110522
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=68A117807
- Sum of proper divisors of the number of partitions of n.at n=34A139055
- Records in A087029.at n=6A186443
- Number of lunar divisors of the decimal (lunar) number 111...1 (with n 1's).at n=3A186510
- a(n) = n*(n^3+n^2+2*n+1).at n=9A186636
- Number of lunar divisors (in base 10) of the n-th number whose decimal expansion contains only 0's and 1's and begins and ends with a 1 (A099821(n)).at n=7A186943
- Number of lunar divisors (in base 10) of the n-th number whose decimal expansion contains only 0's and 1's and begins and ends with a 1 (A099821(n)).at n=42A186943
- Number of lunar divisors (in base 10) of the n-th nonzero number whose decimal expansion contains only 0's and 1's (A007088(n)).at n=14A186951
- 0-sequence of reduction of (n^2+n+1) by x^2 -> x+1.at n=10A192299
- Number of nX4 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=5A239596
- 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 one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=41A239599
- Index sequence for limit-block extending A000002 (Kolakoski sequence) with first term as initial block.at n=34A246145
- Number of partitions of n into 9 sorts of parts.at n=4A246941
- Riordan array (1, x*f(x)) where f(x) is the g.f. of A007564.at n=60A265435