7015
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8928
- Proper Divisor Sum (Aliquot Sum)
- 1913
- 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
- 5280
- Möbius Function
- -1
- Radical
- 7015
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 181
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Quasi-Carmichael numbers to base 4: squarefree composites n such that (n,2*3) = 1 and prime p|n ==> p-4|n-4.at n=1A029559
- Decimal part of a(n)^(1/3) starts with a 'nine digits' anagram.at n=2A034278
- Numerators of continued fraction convergents to sqrt(955).at n=5A042848
- a(n) = 4*n^2 - 9*n + 6.at n=42A054556
- Indices of primes in sequence defined by A(0) = 11, A(n) = 10*A(n-1) + 41 for n > 0.at n=7A056246
- Triangle T(n,k) read by rows of partially ordered sets ("posets") with n unlabeled nodes and k maximal elements (0 <= k <= n).at n=50A065066
- Rounded total surface area of a regular octahedron with edge length n.at n=45A071396
- a(1) = 668; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=25A105212
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1100-1111-1000 pattern in any orientation.at n=13A146720
- Multiples of 23 whose digit reversal - 1 is also a multiple of 23.at n=8A166400
- Smith numbers of order 2.at n=32A174460
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths ending at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 3, n >= 2.at n=58A214121
- Hypotenuse of the smallest Pythagorean triple whose legs are m and 2m + n.at n=22A216260
- Expansion of Sum_{k>=0} x^((k+1)^2)/(1-x)^k.at n=50A236310
- The number of tilings of an 8 X (3n) floor with 2 X 3 hexominoes.at n=9A236583
- On a square lattice, repeatedly write down the smallest positive number that has not yet been used, starting with the least significant digit. Write one digit per point, skipping lattice points already labeled. Move one point further regardless of content, and rotate the movement direction 90 degrees clockwise. Read the smallest number created, ignoring leading zeros and starting with the least significant digit: a(n) gives the n-th number.at n=33A246391
- Indices n>0 such that A083417(n) is zero.at n=38A253099
- A specially constructed B_2 sequence with sum of reciprocals greater than that of the Mian-Chowla sequence A005282.at n=58A259964
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 401", based on the 5-celled von Neumann neighborhood.at n=21A271805
- Number of decompositions of n as a sum of nonnegative multiples of 5, 7, even numbers greater than 2, and the two partitions obtained by expressing the numbers 6 and 8 (each of them exactly once) as a sum using positive integers less than 4.at n=57A278575