4448
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8820
- Proper Divisor Sum (Aliquot Sum)
- 4372
- 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
- 2208
- Möbius Function
- 0
- Radical
- 278
- Omega Function (Ω)
- 6
- 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
- 46
- 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
- Number of collinear point-triples in an n X n grid.at n=9A000938
- Triangle read by rows: T(n,k) = number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1.at n=41A001100
- Coordination sequence T7 for Zeolite Code MTW.at n=44A008202
- Numbers n such that phi(n) * sigma(n) + 9 is a perfect square.at n=41A015728
- Number of lines through exactly 8 points of an n X n grid of points.at n=54A018815
- Fibonacci sequence beginning 5, 16.at n=13A022140
- Expansion of sinh(tan(x)*x)/2.at n=4A024263
- 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 33.at n=15A031531
- Numbers having three 4's in base 10.at n=19A043507
- Numbers whose base-3 representation contains exactly four 0's and no 1's.at n=23A044985
- Numbers whose base-3 representation contains exactly four 0's and four 2's.at n=2A045013
- a(0) = 0; a(n) = a(n-1) - n^2 if positive and new, otherwise a(n) = a(n-1) + n^2.at n=47A053461
- Number of n X n matrices over GF(3) of order dividing 8 (i.e., number of solutions of X^8=I in GL(n,3)).at n=2A053853
- Digits composite, each digit minus 1 is prime, sum of digits minus 1 is prime, difference of digits (in absolute value) minus 1 is prime.at n=18A058229
- a(n) = a(n-1) + a(n-1 minus the number of terms of the same parity as n so far).at n=46A060714
- Numbers k that, when expressed in base 4 and then interpreted in base 8, give a multiple of k.at n=36A062923
- a(n) is the smallest number not already used such that Sum_{m = 0 .. n-1} a(m)*a(m+1) is a square.at n=49A065337
- Smallest k > n such that there are exactly n pairs (x,y) (1 <= x <= y <= k) solutions of the equation: phi(xy)=sigma(x)+sigma(y).at n=25A071780
- Row sums of the triangle in A122820.at n=31A077388
- Trajectory of n under the Reverse and Add! operation carried out in base 3 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=13A077405