11530
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20772
- Proper Divisor Sum (Aliquot Sum)
- 9242
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- -1
- Radical
- 11530
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 143
- 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
- a(n) = floor(n*(n-1)*(n-2)/9).at n=48A011891
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=29A020382
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 23.at n=4A031611
- Shifts left under transform in formula line.at n=50A052336
- Number of bracelet structures using exactly five different colored beads.at n=10A056360
- Number of primitive (period n) bracelet structures using exactly five different colored beads.at n=10A056369
- Number of partitions of n which represent losing Chomp positions.at n=56A112470
- Ulam's spiral (ENE spoke).at n=27A143856
- Triangle read by rows: T(n,k) is the number of k-block partitions of an n-set up to rotations and reflections.at n=59A152176
- a(n) = 5^n-4^n+1.at n=6A155626
- Recurrence sequence derived from the digits of the square root of 5 after its decimal point.at n=17A189893
- Sum of distinct residues of all factorials mod prime(n).at n=45A210185
- Number of 3 X 3 X 3 triangular 0..n arrays with every horizontal row nondecreasing, first elements of rows nonincreasing, last elements of rows nondecreasing, and every row having the same average value.at n=28A215183
- a(n) = number of triples (a,b,c) of natural numbers a,b,c <= n with gcd(a,b)=gcd(b,c)=gcd(c,a)=1.at n=33A256390
- Expansion of psi(-x^3) / f(-x) in powers of x where psi(), f() are Ramanujan theta functions.at n=41A271593
- Triangle read by rows: T(n,k) = number of primitive (period n) n-bead bracelet structures using exactly k different colored beads.at n=59A276543
- Partitions into parts with frequency less than or equal to their place in the list of summands.at n=47A295261
- Maximum value of the cyclic convolution of first n primes with themselves.at n=15A299111
- Numbers missing from A317415.at n=30A317417
- E.g.f.: [Sum_{n>=0} x^n * exp(n^2*x)] * [Sum_{n>=0} x^n / exp(n^2*x)].at n=5A320830