4750
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 4610
- 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
- 1800
- Möbius Function
- 0
- Radical
- 190
- Omega Function (Ω)
- 5
- 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
- 165
- 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
- Fermat coefficients.at n=12A000970
- Hexagonal pyramidal numbers, or greengrocer's numbers.at n=19A002412
- Expansion of 1/((1-x)^4*(1+x)).at n=36A002623
- Coordination sequence T7 for Zeolite Code MFS.at n=43A008179
- Coordination sequence for alpha-Mn, Position Mn1.at n=18A009950
- Coordination sequence for alpha-Mn, Position Mn2.at n=18A009951
- a(n) = floor(C(n,4)/5).at n=29A011795
- Even hexagonal pyramidal numbers.at n=8A015226
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=35A020387
- a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2).at n=36A023855
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=35A025524
- Number of distinct products i*j*k with 1 <= i < j < k <= n.at n=43A027430
- Number of compositions (ordered partitions) of n into distinct odd parts.at n=44A032021
- Shifts left under "BHJ" (reversible, identity, labeled) transform.at n=5A032082
- Number of twin primes < 2^n.at n=18A033843
- Number of partitions of n such that cn(1,5) <= cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5).at n=73A036852
- Coordination sequence T3 for Zeolite Code STF.at n=46A038442
- a(n) = T(n,5), array T as in A051168; a count of Lyndon words; aperiodic necklaces with 5 black beads and n-5 white beads.at n=25A051170
- a(1) = 4; a(n) = smallest composite number of the form k*a(n-1) + 1.at n=44A061766
- Consider the sequence b(k) such that b(k) and sigma(b(k)) end with the same digit in base 10. Sequence gives values of b(k) such that b(k)/k = 10.at n=10A065255