7355
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8832
- Proper Divisor Sum (Aliquot Sum)
- 1477
- 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
- 5880
- Möbius Function
- 1
- Radical
- 7355
- 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
- 101
- 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
- Convolution of natural numbers >= 3 and Fibonacci numbers.at n=14A023552
- Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.at n=27A073735
- Number of rooted unicursal n-edge maps in the plane (planar with a distinguished outside face).at n=4A103944
- a(0)=1, a(1)=2, a(2)=3, a(3)=5, a(4)=7, a(5)=10; a(n) = floor(a(n-1) + 1 + (a(n-2) + 1)/6) for n>=6.at n=51A119592
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and having k 1-cell columns (0<=k<=n). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column.at n=39A121554
- Number of partitions of n into parts with at most one part not greater than 2.at n=42A121659
- Number of base 15 n-digit numbers with adjacent digits differing by four or less.at n=4A126510
- Total sum of squares of number of distinct parts in all partitions of n.at n=19A135348
- Sum of all primes from n-th prime to (2*n-1)-th prime.at n=32A161463
- Numbers n such that 6n and 12n are both the average of twin prime pairs.at n=13A177680
- Numbers n such that 6n -/+ 1 are twin prime pair and n = r + s where 6r -/+ 1 and 6s -/ 1 are consecutive smaller pairs of twin primes.at n=47A226652
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 627", based on the 5-celled von Neumann neighborhood.at n=18A273276
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 793", based on the 5-celled von Neumann neighborhood.at n=19A273566
- Numbers k such that k![12]+2 is prime, where k![12] is the twelve-fold multifactorial.at n=31A283594
- Number of Dyck paths of semilength n such that no level has more than two peaks.at n=10A287966
- Total area of all triangles such that p + q = 2*n, p < q (p, q prime), with base (q - p) and height q.at n=37A334119
- a(n) is the number of polyedges with n edges in the {4,5} tessellation of the hyperbolic plane.at n=6A390201