10538
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17280
- Proper Divisor Sum (Aliquot Sum)
- 6742
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4780
- Möbius Function
- -1
- Radical
- 10538
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 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
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=51A026042
- Numbers k such that 127*2^k+1 is prime.at n=17A032413
- Numbers whose base-2 representation has exactly 12 runs.at n=25A043579
- Arithmetic derivative of n-th partition number.at n=38A096371
- Sum of the first 2n+1 primes.at n=34A109723
- Start with a(1)=1; for n >= 1, a(n+1)=a(n)+a(k) with k=[n - n-th digit of sqrt(2)]. If k<0 or k=0, then a(k)=0.at n=33A133393
- Numbers n such that product of double factorials of the digits of n equals sigma(n).at n=5A158989
- First part "s" of A159000(n).at n=34A159001
- Number of slanted n X 4 (i=1..n) X (j=i..4+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=32A165378
- Smallest number whose square starts and ends with (at least) n identical digits.at n=2A174499
- The path length of the Fibonacci tree of order n.at n=14A178523
- Extended Motzkin numbers, Sum_{k>=0} C(n,k)*C(k), where C(k) is the extended Catalan number A057977(k).at n=10A189912
- a(n) = n*(11*n-5)/2.at n=44A226492
- Numbers n such that 11 is not a divisor of A002805(11*n).at n=17A248979
- Numbers in A007504 such that omega(a(n)) = Omega(a(n)) = 3.at n=12A264885
- Numbers k such that (38*10^k - 119) / 9 is prime.at n=20A278695
- a(0) = 0, a(1) = 1, for n > 1, a(n) = a(n-1) + a(n-A002487(n)).at n=26A283474
- First differences of A283474.at n=29A283479
- First differences of A283474.at n=30A283479
- First differences of A283474.at n=34A283479