4922
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7776
- Proper Divisor Sum (Aliquot Sum)
- 2854
- 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
- 2332
- Möbius Function
- -1
- Radical
- 4922
- 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
- 72
- 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
- yes
- Odd
- no
Appears in sequences
- If a, b in sequence, so is ab+6.at n=43A009307
- Numbers whose sum of divisors is a fifth power.at n=11A019423
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=29A024974
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=29A025400
- "DHK" (bracelet, identity, unlabeled) transform of 1,0,1,0,... (odd).at n=26A032243
- Number of partitions of n into parts not of the form 25k, 25k+12 or 25k-12. Also number of partitions with at most 11 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=30A036011
- Numbers having three 6's in base 9.at n=25A043479
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=16A045940
- Numbers m such that the factorizations of m..m+4 have the same number of primes (including multiplicities).at n=5A045941
- Integers whose sum of divisors is 6^5 = 7776.at n=6A048255
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 20.at n=38A051985
- McKay-Thompson series of class 52B for Monster.at n=55A058706
- Centered heptagonal numbers.at n=37A069099
- Maximum number of regions into which the plane is divided by n triangles.at n=41A077588
- a(n) = -2*a(n-1) + 3*a(n-2), with a(0)=1, a(1)=2.at n=9A084222
- Numbers k such that the k-th prime is of the form m^2 + (m+1)^2.at n=48A091277
- Numbers n such that n, n+1, n+2 and n+3 are products of exactly 3 primes.at n=15A124057
- Ramanujan numbers (A000594) read mod 23^3.at n=16A126847
- Numbers occurring in A137822 : first differences of numbers n such that 3 | sum( Catalan(k), k=1..2n).at n=13A137823
- a(n) = 2*n^2 + 15*n.at n=46A139579