λ
Math Directory

4,823,031

3 × 23 × 69899
Deficient Odd Composite

4,823,031 factors as 3 × 23 × 69899. Its 8 positive divisors give a proper-divisor sum of 1,887,369, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 3 × 23 × 69899
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,710,400
Proper Divisor Sum 1,887,369
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4823023 ← → #4823033

Radix Representation

Decimal 4823031
Binary 10010011001011111110111 (23 bits)
Octal 0o22313767
Hexadecimal 0x4997F7

Divisor Catalog (8)

1 3 23 69 69,899 209,697 1,607,677 4,823,031

Collatz Trajectory (162 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,823,031 14,469,094 7,234,547 21,703,642 10,851,821 32,555,464 16,277,732 8,138,866 4,069,433 12,208,300 6,104,150 3,052,075 9,156,226 4,578,113 13,734,340 6,867,170 3,433,585 10,300,756 5,150,378 2,575,189 7,725,568 3,862,784 1,931,392 965,696 482,848 241,424 120,712 60,356 30,178 15,089 45,268 22,634 11,317 33,952 16,976 8,488 4,244 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143

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