10419
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
- 8
- Divisor Sum
- 14592
- Proper Divisor Sum (Aliquot Sum)
- 4173
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6600
- Möbius Function
- -1
- Radical
- 10419
- 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
- 42
- Smith Number
- yes
- 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
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(2,5) <= cn(1,5) and cn(2,5) <= cn(4,5)).at n=48A036808
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=36A039664
- Smallest integer k such that 2^n is the largest power of two that is contained in 2^k as a proper substring.at n=21A046300
- 5-digit terms in the continued fraction for Pi.at n=17A048960
- Numbers k such that the smoothly undulating palindromic number (31*10^k - 13)/99 is a prime.at n=5A062216
- Number of partitions of n in which number of least parts is equal to least part.at n=42A096403
- Row sums of triangle A134507.at n=15A134508
- a(0)=3; a(n) = n^2 + a(n-1) for n>0.at n=31A153057
- Multiples of 23 whose digit reversal + 1 is also a multiple of 23.at n=16A166393
- Partial sums of A001010.at n=16A178961
- Number of strings of numbers x(i=1..8) in 0..n with sum i*x(i)^4 equal to 8*n^4.at n=16A184852
- a(n) = n*(5n^2 + 3n + 4) / 6.at n=23A203551
- Numbers n such that the sum of the numbers in the Collatz (3x+1) iteration of n is a perfect square.at n=30A225866
- Let sigma*_m (n) be result of applying sum of anti-divisors m times to n; call n (m,k)-anti-perfect if sigma*_m (n) = k*n; sequence gives the (3,k)-anti-perfect numbers.at n=16A229861
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 809", based on the 5-celled von Neumann neighborhood.at n=21A273612
- Poincaré series for invariant polynomial functions on the space of binary forms of degree 10.at n=34A293935
- a(n) is the exponent of the least power of 2 such that the concatenated digits of the decimal expansion of 2^n are a proper substring of the concatenated digits of the decimal expansion of 2^a(n).at n=21A342575