4,200,828

2² × 3 × 197 × 1777

4,200,828 factors as 2^2 × 3 × 197 × 1777. Its 24 positive divisors give a proper-divisor sum of 5,656,404, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 197 × 1777

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,857,232

Proper Divisor Sum 5,656,404

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4200827 ← → #4200863

Radix Representation

Decimal	4200828
Binary	10000000001100101111100 (23 bits)
Octal	0o20014574
Hexadecimal	0x40197C

Divisor Catalog (24)

Collatz Trajectory (92 steps to reach 1)

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

4,200,828 2,100,414 1,050,207 3,150,622 1,575,311 4,725,934 2,362,967 7,088,902 3,544,451 10,633,354 5,316,677 15,950,032 7,975,016 3,987,508 1,993,754 996,877 2,990,632 1,495,316 747,658 373,829 1,121,488 560,744 280,372 140,186 70,093 210,280 105,140 52,570 26,285 78,856 39,428 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656

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