7416
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
- 24
- Divisor Sum
- 20280
- Proper Divisor Sum (Aliquot Sum)
- 12864
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2448
- Möbius Function
- 0
- Radical
- 618
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 119
- 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
- n written in fractional base 10/7.at n=36A024662
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ n/k ] ].at n=43A024932
- Subminimal numbers, from minimal numbers by analogy with subfactorials.at n=43A079717
- Graham-Pollak sequence with initial term 5.at n=21A091522
- Positive integers k such that k^20 + 1 is semiprime (A001358).at n=31A105282
- Numbers k such that k and 8*k, taken together, are zeroless pandigital.at n=22A115932
- a(2*n+1) = 5*a(n), a(2*n+2) = 6*a(n) + a(n-1).at n=44A116553
- Binomial transform of the tribonacci sequence A000073 (shifted left twice).at n=9A117189
- Difference row triangle of A117189.at n=54A117267
- a(0)=1=a(1), a(2)=2, a(3)=5; thereafter a(n+3)=4*a(n+2)-4*a(n+1)+2*a(n) for n>=1.at n=10A159035
- Worpitzky form polynomials for the {1,16,1} A142462 sequence: p(x,n) = Sum_{k=1..n} A(n, k)*binomial(x + k - 1, n - 1).at n=12A168296
- Sequence generated from Lim:_{n..inf.} M^n, M = an infinite lower triangular matrix with (1,3,3,3,...) in every column, shifted down twice.at n=32A171370
- Partial sums of A002503.at n=35A176358
- Number of nondecreasing arrangements of n+3 numbers in 0..7 with each number being the sum mod 8 of three others.at n=5A183902
- Number of 3-step one or two space at a time bishop's tours on an n X n board summed over all starting positions.at n=13A187047
- Number of (w,x,y) with all terms in {0,...,n} and |w-x|+|x-y|+|y-w| > w+x+y.at n=29A213486
- Number of compositions (ordered partitions) of n into distinct prime parts.at n=58A219107
- Numbers k such that 23*k+1 is a square.at n=35A219393
- Numbers of quasi-espalier polycubes of a given volume (number of atomic cells).at n=26A230118
- Number of binary strings of length n avoiding "squares" (that is, repeated blocks of the form xx) with |x| = 3.at n=14A230216