4544
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 9144
- Proper Divisor Sum (Aliquot Sum)
- 4600
- 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
- 2240
- Möbius Function
- 0
- Radical
- 142
- Omega Function (Ω)
- 7
- 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
- 108
- 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) = (9*n+1)*(9*n+8).at n=7A001534
- Number of 4-line partitions of n (i.e., planar partitions of n with at most 4 lines).at n=15A002799
- a(n) = a(n-1) + a(n-4) with a(0) = 0, a(1) = a(2) = a(3) = 1.at n=29A003269
- High-temperature series for Heisenberg model susceptibility on square lattice.at n=4A005401
- Primitive pseudoperfect numbers.at n=63A006036
- Kaprekar triples: q such that q = x + y + z and q^3 = x*10^2n + y*10^n + z, where z < 10^n and n is the number of digits in q. q is not a power of 10 (except q=1).at n=7A006887
- Expansion of (1-x)/(1-x-x^4).at n=32A017898
- From George Gilbert's marks problem: jumping 4 marks at a time (final positions).at n=7A019596
- Convolution of odd numbers and primes.at n=16A023662
- Numbers that are the sum of 4 nonzero squares in exactly 6 ways.at n=46A025362
- Number of labeled servers of dimension 12.at n=3A027399
- Numbers with 14 divisors.at n=20A030632
- Sum of the lengths of the cycle types of the permutation created by length sorting on the partitions of n.at n=28A036056
- Trajectory of 3 under map n->13n+1 if n odd, n->n/2 if n even.at n=13A037104
- Denominators of continued fraction convergents to sqrt(832).at n=9A042607
- Numbers having three 0's in base 8.at n=27A043423
- Numbers having three 4's in base 10.at n=26A043507
- Numbers whose base-3 representation contains exactly four 0's and no 1's.at n=25A044985
- Numbers whose base-3 representation contains exactly four 0's and four 2's.at n=4A045013
- a(n)=Sum{T(n,j): j=1,2,...,n}, array T given by A048225.at n=17A048235