10305
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17940
- Proper Divisor Sum (Aliquot Sum)
- 7635
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5472
- Möbius Function
- 0
- Radical
- 3435
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 148
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Least k>1 such that reverse complement of first n terms of Kolakoski sequence (A000002) repeats beginning at k-th term.at n=43A025504
- First gap of n in sequence A038593 (upper terms).at n=37A038662
- Numbers ending with '5' that are the difference of two positive cubes.at n=29A038860
- Number of singular points on n-th order Chmutov surface.at n=29A057870
- Sum of GCD's of parts in all partitions of n.at n=32A078392
- a(n) is the least positive integer such that nextprime(a(n)^n) - prevprime(a(n)^n) = 4.at n=49A090125
- a(n) = 2a(n-1)+a(n-3)+1 with a(1)=1, a(2)=3, a(3)=8.at n=11A117080
- Numbers k for which digitsum(k) + digitsum(k^2) + digitsum(k^3) = digitsum(k^4).at n=22A118470
- Triangle T, read by rows, where column k equals column k of T^(k+1) shift down 1 row, with T(n,n)=T(n+1,n)=1 for n>=0.at n=46A121391
- Column 1 of triangle A121391, where column k of T=A121391 equals column k of T^(k+1) shift down 1 row.at n=8A121392
- Smaller side not divisible by 37 of right triangles with integer sides and integer side inscribed squares with two vertices on the hypotenuse.at n=12A123697
- Arithmetic mean of two consecutive prime interprimes of second order: interprimes of third order.at n=3A126556
- Number of partitions of n in which each odd part has odd multiplicity.at n=38A131942
- a(n) = 10*binomial(n,2) + 9*n.at n=45A135705
- a(n) = n^3 + sum((-1)^j*a(j)); for j=1 to n-1; a(1)=1.at n=34A153286
- Generalized Lucas-Pascal triangle: (101*100^n,1).at n=12A164855
- Triangle T_4(n, m), the number of surjective multi-valued functions from {1, 1, 1, 1, 2, 3, ..., n-3} to {1, 2, 3, ..., m} by rows (n >= 1, 1 <= m <= n).at n=32A172108
- Numbers n that (n^3 - 4,n^3 - 2) is a twin prime pair.at n=37A178507
- Subgroups of nimber addition interpreted as binary numbers.at n=36A190939
- a(n) = (16/3)*(n+1)*n*(n-1) + 8*n^2 + 1.at n=11A212668