9444
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 22064
- Proper Divisor Sum (Aliquot Sum)
- 12620
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3144
- Möbius Function
- 0
- Radical
- 4722
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- 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 64.at n=28A031562
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,0,3.at n=6A037730
- Numbers having three 4's in base 10.at n=35A043507
- Integer part of the area of consecutive prime sided tetragons with one right angle.at n=24A105270
- 4-almost primes with semiprime digits (digits 4, 6, 9 only).at n=15A111496
- Expansion of o.g.f. (1-x^2+x^4)/((1-x)^2*(1-x^2)^4*(1-x^3)^4).at n=16A123991
- n-th prime*8-7 is the square of a prime.at n=38A169583
- Coefficients of the sum 1+ x/(1-x) + x^2/(1-x^2) + x^3/ ( (1-x)(1-x^2)) + x^4/ ( (1-x)(1-x^3) ) + x^5/ ( (1-x)(1-x^4) ) + x^5 /((1-x^2)(1-x^3)) + x^6/ ( (1-x)(1-x^2)(1-x^3)) + ...at n=41A178702
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 5, n >= 2.at n=49A214023
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 8, n >= 2.at n=25A214038
- Number of palindromic compositions of n into nonprime numbers.at n=44A276421
- Numbers with digits 4 and 9 only.at n=22A284973
- L.g.f.: Sum_{n>=1} (x - x^(2*n-1))^(2*n-1) / (2*n-1).at n=35A293597
- Number of anti-transitive rooted trees with n nodes.at n=12A306844
- Sum of the even parts in the partitions of n into 6 parts.at n=31A309552
- G.f. satisfies: A(x) = (1+x)/(1-x) * A(x^2)*A(x^3)*A(x^4)*...*A(x^n)*... .at n=17A318767
- Expansion of Product_{k=1..9} theta_3(q^k), where theta_3() is the Jacobi theta function.at n=39A320241
- Numbers k such that 303*2^k+1 is prime.at n=34A322916
- Numbers k such that 10^(2*k) - 8*10^(k-1) - 1 is prime.at n=6A331815
- Indices of records in A341755 (= length of chain of (k,k+1) sharing a digit with k+(k+1), starting at n).at n=9A341757