4,831,820

2² × 5 × 7 × 34513

4,831,820 factors as 2^2 × 5 × 7 × 34513. Its 24 positive divisors give a proper-divisor sum of 6,764,884, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 34513

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,596,704

Proper Divisor Sum 6,764,884

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4831807 ← → #4831823

Radix Representation

Decimal	4831820
Binary	10010011011101001001100 (23 bits)
Octal	0o22335114
Hexadecimal	0x49BA4C

Divisor Catalog (24)

Collatz Trajectory (118 steps to reach 1)

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

4,831,820 2,415,910 1,207,955 3,623,866 1,811,933 5,435,800 2,717,900 1,358,950 679,475 2,038,426 1,019,213 3,057,640 1,528,820 764,410 382,205 1,146,616 573,308 286,654 143,327 429,982 214,991 644,974 322,487 967,462 483,731 1,451,194 725,597 2,176,792 1,088,396 544,198 272,099 816,298 408,149 1,224,448 612,224 306,112 153,056 76,528 38,264 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110

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