7269
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9696
- Proper Divisor Sum (Aliquot Sum)
- 2427
- 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
- 4844
- Möbius Function
- 1
- Radical
- 7269
- Omega Function (Ω)
- 2
- 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
- 70
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Sum of upward diagonals of Eulerian triangle.at n=10A000800
- Numbers k such that the continued fraction for sqrt(k) has period 76.at n=16A020415
- Least k such that the first k terms of the Kolakoski sequence (A000002) contain n more 2's than 1's.at n=8A025503
- 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 56.at n=26A031554
- Trajectory of 3 under map n->25n+1 if n odd, n->n/2 if n even.at n=17A037110
- Base-7 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,1,2.at n=4A037761
- Number of partitions satisfying cn(1,5) <= 1 and cn(4,5) <= 1.at n=42A039854
- Numerators of continued fraction convergents to sqrt(595).at n=8A042140
- Semiprimes whose prime factors, when concatenated, yield a palindrome.at n=42A046451
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24.at n=32A051965
- T(n,n-3), array T as in A054120.at n=12A054121
- Number of ways to cover (without overlapping) a ring lattice (necklace) of n sites with molecules that are 9 sites wide.at n=45A058364
- Numbers k such that the digits of k joined to the digits of 2k contain each of the digits from 1 to 9 once.at n=3A064160
- Square root of a(n) contains the n-th Fibonacci number as a string of digits to the immediate right of the decimal point (excluding leading zeros).at n=17A099401
- a(n) = A108466(A025487).at n=30A108467
- Starting numbers for which the RATS sequence has eventual period 14.at n=3A114615
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1110-0111-0100 pattern in any orientation.at n=9A146737
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, 0, 1), (1, 0, -1), (1, 0, 1), (1, 1, 1)}.at n=6A151239
- Number of partitions of n^2 into parts greater than n.at n=10A161408
- a(n) = Sum_{i+j=n, i,j >= 1} tau(i)*sigma(j), where tau() = A000005(), sigma() = A000203().at n=47A191831