1444
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
- 3
Divisibility
- Divisor Count
- 9
- Divisor Sum
- 2667
- Proper Divisor Sum (Aliquot Sum)
- 1223
- 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
- 684
- Möbius Function
- 0
- Radical
- 38
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Squares that are not the sum of 2 nonzero squares.at n=24A000548
- Perfect powers: m^k where m > 0 and k >= 2.at n=48A001597
- Numbers k such that the k-th tetrahedral number is the sum of 2 tetrahedral numbers.at n=39A002311
- Squares and cubes.at n=46A002760
- Arrays of dumbbells.at n=9A002940
- a(n) = Sum_{k=0..n} binomial(n,k^2).at n=13A003099
- Number of rooted trees with n vertices in which vertices at the same level have the same degree.at n=44A003238
- G.f.: (1 + x^4 + x^7 + 2*x^8 + x^9 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).at n=22A003405
- Sequence b_3 (n) arising from homology of partitions with even number of blocks.at n=5A003993
- a(n) = floor(n*phi^9), where phi is the golden ratio, A001622.at n=19A004924
- a(n) = round(n*phi^9), where phi is the golden ratio, A001622.at n=19A004944
- Maximal length of rook tour on an n X n board.at n=12A006071
- Squares with digits 1, 4, 9.at n=6A006716
- Erroneous version of A048798.at n=36A007914
- Product of divisors of n.at n=37A007955
- Coordination sequence T2 for Zeolite Code AFS.at n=29A008024
- Coordination sequence T5 for Zeolite Code DDR.at n=24A008075
- Coordination sequence T1 for Zeolite Code KFI.at n=29A008123
- Squares formed by concatenating other squares, not ending in 0.at n=7A009404
- Coordination sequence T5 for Zeolite Code DFO.at n=29A009879