4623
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6528
- Proper Divisor Sum (Aliquot Sum)
- 1905
- 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
- 2904
- Möbius Function
- -1
- Radical
- 4623
- Omega Function (Ω)
- 3
- 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
- 152
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- a(n) = 4*n^2 - 1.at n=34A000466
- Associated Mersenne numbers.at n=22A001351
- 11*n^2 + 11*n + 3.at n=20A006222
- Coordination sequence T1 for Milarite.at n=42A008256
- Numbers n such that phi(n) * sigma(n) + 4 is a perfect square.at n=45A015727
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m), where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 2.at n=14A049889
- Starting positions of strings of 2 3's in the decimal expansion of Pi.at n=34A050222
- Numbers k such that k | sigma_11(k).at n=17A055715
- Multiples of 3 that are one less than a perfect square.at n=45A057780
- Least number k such that phi(k) / Carmichael lambda(k) = 2n.at n=21A066497
- Prefixing, suffixing or inserting a 7 in the number anywhere gives a prime.at n=32A069832
- Number of partitions of n in which no part appears more than twice and no two parts differ by 1.at n=51A070047
- Squarefree numbers k with largest prime factor = floor(sqrt(k)).at n=11A071311
- Numbers k such that the largest prime factor of k is equal to floor(sqrt(k)).at n=48A071835
- a(n) is the smallest number k such that A073813(k) = prime(n).at n=20A073814
- Numbers k such that the largest prime power factor of k equals floor(sqrt(k)).at n=29A081807
- Smallest nontrivial multiple of n ending in n. By nontrivial one means a(n) is not equal to n or concatenation of n with itself.at n=22A083466
- Largest integer not expressible as a nonnegative linear combination of n and n^2 + 1.at n=16A087908
- Numbers n such that (n+j) mod (2+j) = 1 for j from 0 to 5 and (n+6) mod 8 <> 1.at n=5A096024
- A bisection of A000960.at n=38A099061