15783
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 21048
- Proper Divisor Sum (Aliquot Sum)
- 5265
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10520
- Möbius Function
- 1
- Radical
- 15783
- 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
- 177
- 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
- a(n) = binomial(2*n-2,n-1)/n - 2^(n-1) + n.at n=10A004303
- Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.at n=38A020896
- a(n)-th and (a(n)+1)-st primes are the first pair of primes that differ by exactly 2n; a(n) = -1 if no such pair of primes exists.at n=34A038664
- a(n) is the least positive integer k such that g(k) = n*g(k-1), where g(k) = prime(k+1) - prime(k).at n=34A078563
- Numbers k such that k! + k^2 + k + 1 is prime.at n=6A079649
- Increasing peaks in the prime gap sequence A038664.at n=7A086979
- Numbers k such that the difference between k-th prime and next prime is 70.at n=0A116493
- G.f. satisfies: A(x) = (1+x) - x*(4+x)*A(x) + x*(3+2*x)*A(x)^2.at n=10A119371
- Numbers expressible as the difference of two nonnegative fifth powers.at n=24A152045
- Difference of two positive 5th powers.at n=18A181124
- a(n) = 7^n - 4^n.at n=5A190542
- Monotonic ordering of nonnegative differences 7^i-2^j, for 40>=i>=0, j>=0.at n=35A192119
- Monotonic ordering of nonnegative differences 7^i-4^j, for 40>=i>=0, j>=0.at n=19A192166
- a(n) = ceiling(e^(n/3)).at n=28A214076
- Numbers which are the sum or difference of two fifth powers.at n=45A247099
- a(n)=position of the first occurrence of a local maximum equal to 2n in A001223, n>1.at n=33A286729
- Number of integer partitions of n whose number of submultisets is greater than n.at n=36A325831
- Number of unlabeled connected loopless multigraphs with n edges rooted at two indistinguishable vertices.at n=7A339043