10542
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 13650
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3000
- Möbius Function
- 1
- Radical
- 10542
- 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
- yes
- 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
- 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
- Positive numbers having the same set of digits in base 6 and base 10.at n=25A037437
- Positive numbers having the same set of digits in base 7 and base 10.at n=28A037440
- Pentagonal numbers with even index.at n=42A049452
- Sequence of sums based on primes = 7 mod 8.at n=25A060108
- Numbers n such that sigma(n) = phi(n) + phi(n-1) + phi(n-2) + phi(n-3).at n=2A067203
- Number of anisohedral polyominoes with n cells.at n=22A075206
- Maximum number of (distinct) primes that an n-digit number may shelter (i.e., primes contained among all digital substrings' permutations).at n=7A076730
- Indices of primes in sequence defined by A(0) = 71, A(n) = 10*A(n-1) + 41 for n > 0.at n=19A101143
- Pentagonal numbers (A000326) whose digit reversal is a semiprime (A001358).at n=22A115709
- Pentagonal numbers for which the sum of the digits is also a pentagonal number.at n=11A117709
- Pentagonal numbers for which the product of the digits is also a pentagonal number.at n=37A117710
- Pentagonal numbers for which both the sum of the digits and the product of the digits are pentagonal numbers.at n=5A117711
- Numbers whose base-10 and base-7 representations are permutations of the same multiset of digits.at n=20A130604
- Numbers whose square starts with 4 identical digits.at n=10A132391
- a(n) = n*(2*n^2 + 5*n + 17)/2.at n=21A163661
- Number of distinct solutions of sum{i=1..2}(x(2i-1)*x(2i)) = 1 (mod n), with x() in 0..n-1.at n=44A180804
- Number of rhombuses on a (n+1)X9 grid.at n=31A190097
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and -2<=w+x+y<=2.at n=27A211616
- Expansion of Product_{k>=1} 1/(1-x^(k+3))^k.at n=29A263359
- a(n) = 3*n*(9*n - 1)/2.at n=28A268351