7361
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7812
- Proper Divisor Sum (Aliquot Sum)
- 451
- 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
- 6912
- Möbius Function
- 1
- Radical
- 7361
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 132
- 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
- a(n) = n*(3*n^2 - 1)/2.at n=17A004188
- Bisection of A001400.at n=48A014125
- Pseudoprimes to base 79.at n=32A020207
- Least k such that first k terms of A022300 contain n more 2's than 1's.at n=6A025515
- Number of ways to partition n elements into pie slices of different sizes.at n=30A032153
- Decimal concatenation of n-th lucky number and n-th prime number.at n=17A032604
- Number of self-avoiding walks on a 2-D lattice of length n which start at the origin, take first step in the {+1,0} direction and whose vertices are always nonnegative in x and y.at n=10A046170
- Sizes of successive clusters in Z^4 lattice.at n=38A046895
- Indices of primes in sequence defined by A(0) = 33, A(n) = 10*A(n-1) + 53 for n > 0.at n=10A056256
- Polynomial extrapolation of 2, 3, 5, 7, 11, 13, 17.at n=11A061166
- Numbers of the form (10*a + b)^2 + (10*b + a)^2 with a and b less than 10, in numerical order.at n=32A061191
- Let b(1)=b(2)=1, b(k) = (2^b(k-1)+2^b(k-2)) (mod k); sequence gives values of n such that b(n)=0.at n=31A074782
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both prime.at n=7A085775
- Diagonal sums of correlation triangle for floor((n+2)/2).at n=48A115264
- Semiprimes which are divisible by the sum of their digits.at n=44A118693
- Number of partitions of n with even crank.at n=35A124227
- Number of base 15 n-digit numbers with adjacent digits differing by two or less.at n=5A126402
- Starting from the standard 12 against 12 starting position in checkers, the sequence gives the number of distinct move sequences after n moves.at n=5A133046
- Numbers of the form x^4 + 6*x^2*y^2 + y^4 (where x,y are positive integers).at n=26A135797
- Triangle read by rows, T(n,k) = T(n-1, k-1) - T(n-k, k-1); with leftmost term in each row = sum of all previous terms.at n=66A137680