4970
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10368
- Proper Divisor Sum (Aliquot Sum)
- 5398
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1680
- Möbius Function
- 1
- Radical
- 4970
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 90
- 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
- a(n) = (3*n+1)*(3*n+2).at n=23A001504
- a(n) = 2*n*(2*n+1).at n=35A002943
- Primitive pseudoperfect numbers.at n=68A006036
- Population of "Triangle" cellular automaton at n-th generation.at n=32A018189
- [ Sum{(sqrt(j+1)-sqrt(i+1))^3} ], 1 <= i < j <= n.at n=32A025223
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=39A026042
- a(n) = (d(n)-r(n))/2, where d = A026060 and r is the periodic sequence with fundamental period (1,0,0,0).at n=30A026061
- Sorted Galois numbers.at n=23A028689
- Number of partitions of n with equal nonzero number of parts congruent to each of 3 and 4 (mod 5).at n=40A035571
- Number of partitions of n into parts not a multiple of 7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=31A035985
- Product of a prime and the previous number.at n=19A036689
- Partial sums of the sequence (A001097) of twin primes.at n=37A048598
- Number of factorizations into distinct factors with 3 levels of parentheses indexed by prime signatures. A050349(A025487).at n=37A050350
- Totients of consecutive pure powers of primes.at n=42A053198
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 69 ).at n=38A063342
- Numbers of the form 12*k + 2 with nonempty inverse totient set.at n=5A063668
- Numbers n such that Fibonacci(n) is not squarefree, but for all proper divisors k of n, Fibonacci(k) is squarefree.at n=22A065069
- Composite numbers k such that sigma(k)*(phi(k) + 2) is a square.at n=13A065655
- Sum of the reciprocals of the partitions of n enumerated in A058360.at n=43A066824
- Engel expansion of sinh(1).at n=35A068377