4528
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 8804
- Proper Divisor Sum (Aliquot Sum)
- 4276
- 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
- 2256
- Möbius Function
- 0
- Radical
- 566
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 64
- 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
- yes
- Odd
- no
Appears in sequences
- Generalized Catalan Numbers x^2*A(x)^2 -(1-x+x^2+x^3+x^4+x^5)*A(x) + 1 =0.at n=17A023422
- Convolution of odd numbers and A001950.at n=16A023659
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+3 odd positive integers}.at n=13A024205
- Numbers that are the sum of 3 positive cubes in exactly 2 ways.at n=40A025396
- Numbers k such that 201*2^k+1 is prime.at n=14A032477
- Consider the Diophantine equation x^3 + y^3 = z^3 + 1 (1<x<y<z) or 'Fermat near misses'. Arrange solutions by increasing values of z (see A050791), and increasing values of y in case of ties. Sequence gives values of y.at n=11A050793
- Analog of A059226 in which left diagonal is all 1's.at n=31A059274
- a(n) = (n^3 + 5*n + 18)/6.at n=32A060163
- Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,...at n=32A062708
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 65 ).at n=30A063338
- Numbers k such that phi(k) divides (sigma(k+2) + sigma(k-2)).at n=35A067245
- Numbers which retain their position in A073666 (position not disturbed by the rearrangement).at n=33A073667
- Let b(1)=b(2)=1, b(k) = (2^b(k-1)+2^b(k-2)) (mod k); sequence gives values of n such that b(n)=0.at n=27A074782
- Sum of first n 4-almost primes.at n=32A086046
- Number of conjugacy classes in the group GL(3,Z_n).at n=15A086768
- Numbers k such that numerator of Sum_{i=1..k} 1/(prime(i)-1) is prime.at n=50A092063
- Number of 3-Carlitz compositions of n (or, more generally p-Carlitz compositions, p > 1), i.e., words b_1^{i_1}b_2^{i_2}...b_k^{i_k} such that the b_j's and i_j's are positive integers for which Sum_{j=1..k} i_j * b_j = n and, for all j, i_j < p and if b_j = b_(j+1) then i_j + i_(j+1) is not equal to p.at n=12A129922
- Least k such that the difference between consecutive 3-almost primes A014612(k) equals n, or 0 if no such k exists.at n=31A131939
- Half-sum (or average) of cubes of two distinct odd primes.at n=19A138855
- Integer part of square root of n^5 = A000584(n).at n=28A155013