4497
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
- 6000
- Proper Divisor Sum (Aliquot Sum)
- 1503
- 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
- 2996
- Möbius Function
- 1
- Radical
- 4497
- 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
- 46
- 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
- Coordination sequence T1 for Zeolite Code NAT.at n=45A008203
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=32A020387
- Form a triangle with n numbers in top row; all other numbers are the sum of their parents. E.g.: 4 1 2 7; 5 3 9; 8 12; 20. The numbers must be positive and distinct and the final number is to be minimized. Sequence gives final number.at n=10A028307
- a(n)^2 has last digit equal to the sum of the other digits.at n=14A030134
- 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=24A031542
- "DIK" (bracelet, indistinct, unlabeled) transform of 3,3,3,3...at n=7A032284
- Numbers k such that 225*2^k+1 is prime.at n=33A032489
- Number of triples {i,j,k}, i>1, j>1, k>1, such that i*j*k < n^3.at n=10A037092
- Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x.at n=3A047826
- Becomes prime or 4 after exactly 8 iterations of f(x) = sum of prime factors of x.at n=8A048130
- Number of 2 X 2 singular integer matrices with elements from {0,...,n}.at n=24A059306
- Positions of zero in the infinite audioactive word, A088205, which shifts left under "Look and Say" method A, starting with a(1)=0.at n=23A088206
- a(n) is the smallest odd number that is greater than n^2 and is the product of two distinct primes.at n=66A099610
- Expansion of (7 +4*x -5*x^2 -7*x^3) / ((1-x)*(1-x^2-x^3)).at n=23A103485
- Numbers k such that 10^k*(10^7*(-1+10^k)+6083806) + 10^k - 1 is prime.at n=6A107291
- Maximum number of regions defined by n zigzag-lines in the plane when a zigzag-line is defined as consisting of two parallel infinite half-lines joined by a straight line segment.at n=32A117625
- 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), (1, 0, 0), (1, 0, 1)}.at n=8A149862
- a(n) = 64*n^3 - 168*n^2 + 148*n - 43.at n=4A160250
- Coefficients in the expansion of C^2/B^3, in Watson's notation of page 118.at n=11A160526
- Number of ways to partition a 3*n X 2 grid into 6 connected equal-area regions.at n=7A167240