10553
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10788
- Proper Divisor Sum (Aliquot Sum)
- 235
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10320
- Möbius Function
- 1
- Radical
- 10553
- 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
- 104
- 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 k such that the continued fraction for sqrt(k) has period 39.at n=17A020378
- Base-7 palindromes that start with 4.at n=35A043018
- Number of asymmetric mobiles (circular rooted trees) with n nodes and 3 leaves.at n=24A055364
- 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=4A063048
- 'Reverse and Add!' trajectory of 10553.at n=0A063060
- 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=5A088753
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=4A089493
- Expansion of g.f. x*(-20-37*x+3*x^2)/(-1+x+19*x^2+10*x^3+x^4).at n=5A104100
- Products of two primes that are not Chen primes.at n=29A115719
- Generator for the finite sequence A038178.at n=14A135480
- Number of n X n binary arrays with all ones connected only in a 11000-01100-00110-00011 pattern in any orientation.at n=8A147444
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 11000-01100-00110-00011 pattern in any orientation.at n=18A147446
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 11000-01100-00110-00011 pattern in any orientation.at n=19A147446
- Odd indices n for which A046825(n) is not larger than A046825(n-1).at n=33A214453
- The Wiener index of the graph obtained by applying Mycielski's construction to the path graph on n vertices (n>=2).at n=41A228321
- 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=4A306232
- Expansion of Sum_{k>=0} x^(k*(k+1)) / Product_{j=1..k} (1 - x^j)^j.at n=40A306664