7628
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13356
- Proper Divisor Sum (Aliquot Sum)
- 5728
- 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
- 3812
- Möbius Function
- 0
- Radical
- 3814
- 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
- 31
- 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
- a(n) is the number of integers m which take n steps to reach 1 in '3x+1' problem.at n=40A005186
- Apply partial sum operator 4 times to binary rooted tree numbers.at n=11A014171
- Expansion of 1/((1-2x)(1-7x)(1-9x)(1-10x)).at n=3A028009
- a(n) is smallest difference d of an arithmetic progression dk+1 whose first prime occurs at the n-th position.at n=26A047980
- a(n) = A047980(2n+1).at n=13A047982
- Shifts left under transform in formula line.at n=47A052336
- Numbers k such that k^12 == 1 (mod 13^3).at n=41A056086
- Numbers k such that k^12 == 1 (mod 13^4).at n=5A056095
- Positive integers k such that k^20 + 1 is semiprime (A001358).at n=32A105282
- Even numbers of the form floor( binomial(2k, 2j)/binomial(k, j)).at n=7A111304
- a(n) = floor(n*(n+2)*(n+4)*(n-6)/192).at n=35A117652
- Number of permutations of floor(i*8/7), i=0..n-1, with all sums of two adjacent terms unique.at n=7A147922
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 1, 0), (1, 0, 1), (1, 1, -1)}.at n=7A150291
- Number of nondecreasing arrangements of 4 nonzero numbers in -(n+2)..(n+2) with sum zero.at n=29A188334
- Number of arrangements of n+1 nonzero numbers x(i) in -2..2 with the sum of trunc(x(i)/x(i+1)) equal to zero.at n=6A189538
- T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of trunc(x(i)/x(i+1)) equal to zero.at n=34A189545
- Number of arrangements of 8 nonzero numbers x(i) in -n..n with the sum of trunc(x(i)/x(i+1)) equal to zero.at n=1A189551
- Sum of numerators of Farey Sequence of order n.at n=41A213544
- Numbers k such that sigma(tau(phi(k))) = phi(tau(sigma(k))).at n=33A226118
- Number of (n+1) X (4+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).at n=9A235285