4722
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9456
- Proper Divisor Sum (Aliquot Sum)
- 4734
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1572
- Möbius Function
- -1
- Radical
- 4722
- 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
- 59
- 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
- yes
- Odd
- no
Appears in sequences
- First occurrence of n consecutive numbers that take same number of steps to reach 1 in 3x+1 problem.at n=9A000546
- Coordination sequence T3 for Zeolite Code MEL.at n=44A008152
- Coordination sequence T5 for Zeolite Code NES.at n=44A008209
- Number of lines through at least 2 points of an n X n grid of points.at n=12A018808
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 68.at n=5A031566
- Number of partitions of n with equal number of parts congruent to each of 1 and 3 (mod 4).at n=38A035544
- Number of partitions of 2n with equal number of parts congruent to each of 1 and 3 (mod 4).at n=19A035594
- a(n) = T(2n-1,n), array T given by A048225.at n=36A048234
- Indices of prime Fibonacci numbers, minus 1.at n=22A069744
- Squarefree numbers sandwiched between a pair of twin primes.at n=37A070195
- a(n) = 1^n + 5^n + 8^n.at n=4A074518
- Interprimes which are of the form s*prime, s=6.at n=39A075281
- a(n) = floor(8^n/5^n).at n=18A094985
- Number of integer partitions of n whose sequence of frequencies is strictly increasing.at n=50A100471
- a(n) = digit reversal of A103741(n).at n=15A103763
- Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A127377/A127378.at n=10A127383
- Admirable numbers in the middle of twin primes.at n=22A135502
- Numbers k such that k and k^2 use only the digits 2, 4, 7, 8 and 9.at n=15A137107
- Indices k such that A019326(k)=Phi[k](8) is prime, where Phi is a cyclotomic polynomial.at n=25A138938
- a(n) = 4*n^2 + 28*n + 10.at n=30A153644