10545
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18240
- Proper Divisor Sum (Aliquot Sum)
- 7695
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 1
- Radical
- 10545
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 148
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(n+1)*(n+8)/6.at n=37A006503
- Number of terms in n-th derivative of a function composed with itself 5 times.at n=11A022813
- Positive numbers k such that k and 5*k are anagrams in base 6 (written in base 6).at n=5A023067
- a(n) = 11^n - n^6.at n=4A024133
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...), t = (odd natural numbers).at n=21A025106
- Numbers in which 0,1,2,3,4,5 all occur in base 6.at n=27A031947
- Matrix 5th power of partition triangle A008284.at n=55A039807
- Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's.at n=27A049357
- Number of divisors of n equals the average of distinct prime factors of n.at n=36A067547
- Numbers k that divide 2^(k+3) - 1.at n=39A069927
- Fifth column of (1,5)-Pascal triangle A096940.at n=17A096942
- Primitive elements of A119432.at n=20A119433
- Odd interprimes divisible by 19.at n=29A126231
- Numbers whose square starts with 4 identical digits.at n=13A132391
- Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c^2+d^2)/2)).at n=34A134602
- Numbers such that the square root of the sum of squares of their prime factors is a nonprime integer.at n=38A134606
- a(n) = 11^n - 8^n.at n=4A139746
- Differences of two coprime 4th powers.at n=37A147858
- Odd squarefree numbers n such that the cyclotomic polynomial Phi(n,x) has height 5.at n=29A152943
- Number of (n+3) X 7 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=11A188100