5603
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6048
- Proper Divisor Sum (Aliquot Sum)
- 445
- 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
- 5160
- Möbius Function
- 1
- Radical
- 5603
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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
- -1 + number of partitions of n.at n=30A000065
- Numbers whose set of base-7 digits is {2,3}.at n=31A032807
- Number of partitions satisfying (cn(0,5) = cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=53A036821
- Number of partitions of n such that cn(3,5) <= cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5).at n=71A036868
- Maximal base 7 run length is 4.at n=22A037991
- Numbers whose base-7 representation contains exactly four 2's.at n=10A043404
- Squarefree nonprimes with property that the concatenation of the prime factors is a palindrome.at n=43A046448
- Semiprimes whose prime factors, when concatenated, yield a palindrome.at n=37A046451
- First occurrence of n as a term in the continued fraction for log(3).at n=52A076593
- Total number of largest parts in all partitions of n into odd parts.at n=50A092311
- Numbers n such that sigma(n) - phi(n) is a repdigit greater than 2.at n=30A116020
- a(n) = (2+n)*2^n-2-3*n.at n=8A131438
- A054525 * A000041.at n=30A133732
- Semiprimes whose factors are decimal palindromes when concatenated, omitting multiples of primes less than 11.at n=18A144719
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 2X3 U in any orientation.at n=18A146059
- 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, 1), (-1, 0, 1), (0, 1, -1), (1, 0, -1), (1, 1, 1)}.at n=7A149728
- Number of 11 X 11 arrays of squares of integers, symmetric about the diagonal and under 90-degree rotation, with all rows summing to n.at n=35A156407
- Exactly 10 consecutive odd integers starting with n are composite.at n=26A162023
- Discriminants of imaginary quadratic fields with class number 22 (negated).at n=38A171724
- Number of partitions of n into positive Loeschian numbers (cf. A003136).at n=55A198726