4749
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6336
- Proper Divisor Sum (Aliquot Sum)
- 1587
- 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
- 3164
- Möbius Function
- 1
- Radical
- 4749
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 77
- 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
- Number of partitions of n into parts 1/2, 3/4, 7/8, 15/16, etc.at n=15A002843
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFX = SAPO-56 [Al23Si5P20O96] starting with a T2 atom.at n=5A018970
- Convolution of composite numbers and odd numbers.at n=18A023650
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 44.at n=40A031542
- Number of days in n years (n=1 is the first leap year).at n=12A033174
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 3 and 4 (mod 5).at n=53A035590
- Number of partitions of n into parts not of the form 23k, 23k+6 or 23k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=30A035994
- Numbers whose base-5 representation contains exactly two 2's and three 4's.at n=10A045288
- a(1) = 4; a(n) = smallest composite number of the form k*a(n-1) + 1.at n=43A061766
- Number of 2-trees rooted at an asymmetric end-edge.at n=7A063682
- Numerators of a(n+1) = Sum_{k=1..n} a'(n/k), a(1)=1, where a'(x)=a(x) if x integer and is linearly interpolated otherwise.at n=20A071795
- Numbers n such that numerator(Bernoulli(2*n)/(2*n)) is different from numerator(Bernoulli(2*n)/(2*n*(2*n+1))).at n=16A090177
- Sum of smallest parts (counted with multiplicity) of all partitions of n.at n=21A092309
- a(0) = 0, a(1) = 1 and for n >= 2, a(n) = floor(2 * sqrt(a(n-2) * a(n-1))).at n=21A093333
- a(n) = Sum_{k=1..n} floor(n^2/k).at n=34A118014
- Matrix inverse of triangle A137153(n,k) = C(2^k+n-k-1, n-k), read by rows.at n=23A137156
- G.f.: 1 = Sum_{n>=0} a(n)*x^n/(1+x)^(4*2^n).at n=4A137158
- Number of different strings of length n+5 obtained from "123...n" by iteratively duplicating any substring.at n=8A137740
- a(n) = prime(2*n^2) - 2*n^2.at n=18A141086
- 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, 0), (-1, 1, 1), (0, 1, 0), (1, -1, 1), (1, 1, -1)}.at n=8A148436