6103
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6480
- Proper Divisor Sum (Aliquot Sum)
- 377
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5728
- Möbius Function
- 1
- Radical
- 6103
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 155
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=33A003452
- Triangle T read by rows: differences of Motzkin triangle (A026300).at n=76A026105
- Second differences of Motzkin numbers (A001006).at n=9A026107
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 77.at n=12A031575
- Molien series for 3-D group R2+R3.at n=37A037242
- Numbers whose base-4 representation contains exactly four 1's and three 3's.at n=7A045132
- a(n) = floor(n^4/64).at n=25A060494
- a(0)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)= 1/a(0)+1/a(1)+1/a(2)+...+1/a(n) equals 2n.at n=41A070898
- Vertical of triangular spiral in A051682.at n=36A081271
- Expansion of 1 + Sum_{i>=1} (x^prime(i)/Product_{j=1..i} (1-x^j)).at n=44A095700
- Number of arrangements of the partitions of n (e.g., 111 counts for 6).at n=7A101880
- a(n)=5a(n-2)+2a(n-3).at n=11A112685
- a(n) = prime(n)_n.at n=53A122637
- One-seventh of the difference of squares of legs of primitive Pythagorean triangles, neither of which is a multiple of 7.at n=29A127924
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 1, -1), (1, 0, 1), (1, 1, 0), (1, 1, 1)}.at n=6A151226
- Numbers k such that (sum of base-2 digits of k) = (sum of base-10 digits of k) = 10.at n=4A152207
- Number of nondecreasing integer sequences of length 7 with sum zero and sum of absolute values 2n.at n=17A158141
- a(n) = 4*n^2 + floor(n/2).at n=39A173511
- Numbers k such that tau(k-1) = (tau(k))^2 = tau(k+1), where tau(k) = A000005(k) (number of divisors of k).at n=21A190266
- a(n) = 8*n^2 - 6*n - 1.at n=27A194431