10577
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12096
- Proper Divisor Sum (Aliquot Sum)
- 1519
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9060
- Möbius Function
- 1
- Radical
- 10577
- 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
- 55
- 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
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 8 (most significant digit on right).at n=12A029501
- Positive numbers having the same set of digits in base 8 and base 9.at n=44A037441
- 5-digit terms in the continued fraction for Pi.at n=19A048960
- a(n) is the least odd number of the form p + k^2 with p prime and k > 0 which can be represented in exactly n different ways.at n=36A059400
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=6A063048
- 'Reverse and Add!' trajectory of 10577.at n=0A063433
- a(0)=1; for n >= 1, a(n) = Sum_{k=0..n} 8^k*N(n,k) where N(n,k) = (1/n)*C(n,k)*C(n,k+1) are the Narayana numbers (A001263).at n=5A082147
- Numbers n such that mu(n) + mu(n+1) + mu(n+2) + mu(n+3) + mu(n+4) + mu(n+5) + mu(n+6) = 6.at n=11A082967
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=7A088753
- a(n) = smallest non-palindromic k such that the Reverse and Add! trajectory of k is palindrome-free and joins the trajectory of A070788(n).at n=0A089494
- a(n) = N(5,n), where N(5,x) is the 5th Narayana polynomial.at n=8A090198
- One-seventh of the difference of squares of legs of primitive Pythagorean triangles, neither of which is a multiple of 7.at n=38A127924
- 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, -1, -1), (-1, -1, 1), (0, 0, 1), (0, 1, 0), (1, 1, 0)}.at n=7A151055
- The sums of pairs of adjacent terms are the odd palindromic primes in ascending order.at n=26A181881
- Principal diagonal of the convolution array A213553.at n=5A213554
- Number of symmetric 5 X 5 matrices of nonnegative integers with zeros on the main diagonal and every row and column adding to n.at n=6A244868
- E.g.f.: Sum_{n>=0} x^n * (1 + x^n)^n * exp(4*x^(n+1)) / n!.at n=6A259204
- Numbers n which are neither palindromes nor the sum of two palindromes, with property that the largest palindrome which when subtracted from n yields the sum of two palindromes is not the palindromic floor of n (A261423(n)), but rather the next palindrome below that.at n=32A261911
- Number of Dyck paths of semilength n such that the maximal number of peaks per level equals eight.at n=6A288749
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome and does not join the trajectory or one of the reverse numbers of the trajectory of any term m < k.at n=6A306232