7738
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11988
- Proper Divisor Sum (Aliquot Sum)
- 4250
- 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
- 3744
- Möbius Function
- -1
- Radical
- 7738
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 145
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=38A020360
- Pisot sequences E(6,8), P(6,8).at n=25A020716
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-4).at n=31A023434
- a(1) = 1; a(n+1) = sum of terms in continued fraction for the sum of the continued fractions, [a(1); a(2), a(3), ..., a(n)] and [0; a(1), a(2), a(3), ..., a(n)].at n=34A058082
- Sum of numbers in n-th upward diagonal of triangle in A079826.at n=36A079825
- Numbers k such that k!!!!!! + 1 is prime.at n=38A085150
- Dropping first and last digit of n leaves its largest prime factor.at n=31A114565
- Numbers n for which 12n+1, 12n+5, 12n+7 and 12n+11 are primes.at n=38A123985
- G.f. satisfies A(x) = 1 + x*(1 + x*A(x)^2)^4.at n=7A137956
- The A161671(n)-th partial sum of A161671.at n=29A161778
- Partial sums of A012814.at n=7A176476
- Number of nX2 0..2 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=12A200771
- G.f. for Ehrhart quasi-polynomials for hyperplane arrangements of type E_8.at n=51A210632
- A modified Engel expansion of sqrt(2).at n=11A220397
- a(1) = greatest k such that H(k) - H(8) < H(8) - H(4); a(2) = greatest k such that H(k) - H(a(1)) < H(a(1)) - H(8), and for n > 2, a(n) = greatest k such that H(k) - H(a(n-1)) > H(a(n-1)) - H(a(n-2)), where H = harmonic number.at n=11A227804
- Number of Fermat pseudoprimes to base 2 between 2^n and 2^(n+1) that are not Carmichael numbers.at n=34A252943
- Maximal intervals of balanced binary trees in the Tamari lattices.at n=23A272372
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 526", based on the 5-celled von Neumann neighborhood.at n=29A272744
- Expansion of Product_{k>=1} ((1-x^(12*k)) * (1-x^(12*k-10)) * (1-x^(12*k-9)) / (1-x^k)).at n=46A280909
- The number of partitions of [n] with exactly 2 blocks without peaks.at n=16A289692