9757
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10656
- Proper Divisor Sum (Aliquot Sum)
- 899
- 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
- 8860
- Möbius Function
- 1
- Radical
- 9757
- 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
- 135
- 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
- Sums of 7 distinct powers of 3.at n=28A038469
- Bessel function |J_0(n)| is a monotonically decreasing positive sequence.at n=42A046962
- a(n) = a(n-1) + a(m) for n >= 3, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = 3.at n=46A050069
- Number of step cyclic shifted sequence structures using exactly two different symbols.at n=21A056434
- Least k such that 10^(2n-1)+k is a brilliant number.at n=44A084476
- Number of primitive multiplex juggling sequences of length n, base state <1,1,1> and hand capacity 2.at n=6A136780
- A transform of the Catalan numbers.at n=12A186334
- Monotonic ordering of nonnegative differences 10^i-3^j, for 40>=i>=0, j>=0.at n=19A192160
- Optimal ascending continued fraction expansion of e - 2.at n=5A228930
- Indices of the start of 9 successive distinct digits in the decimal expansion of e (2.718281828...).at n=33A258167
- The number of even permutations p of 1,2,...,n such that -1<=p(i)-i<=2 for i=1,2,...,n.at n=16A268306
- Numbers k such that (16*10^k - 19)/3 is prime.at n=28A271146
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 453", based on the 5-celled von Neumann neighborhood.at n=24A272275
- Engel expansion of phi to the base Pi.at n=4A280095
- Start from the singleton set S = {n}, and unless 1 is already a member of S, generate on each iteration a new set where each odd number k is replaced by 3k+1, and each even number k is replaced by 3k+1 and k/2. a(n) is the size of the set after the first iteration which has produced 1 as a member.at n=50A290100
- Expansion of Product_{k=1..7} (1+x^(2*k-1))/(1-x^(2*k)).at n=51A316719
- G.f. A(x) satisfies: 1 = Sum_{n>=0} ((1+x)^n - 1)^n/(A(x) + 1 - (1+x)^n)^(n+1).at n=5A323313
- Number of nonempty subsets of {1..n} whose geometric mean is an integer.at n=77A326027
- Number of compositions of n with no adjacent triples (..., x, y, z, ...) where x < y < z or x > y > z.at n=15A344614
- Numbers whose square is of the form k + reversal of digits of k, for some k.at n=36A356648