50,333,572

2² × 157 × 80149

50,333,572 factors as 2^2 × 157 × 80149. Its 12 positive divisors give a proper-divisor sum of 38,312,328, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 157 × 80149

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 88,645,900

Proper Divisor Sum 38,312,328

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #50333567 ← → #50333581

Radix Representation

Decimal	50333572
Binary	11000000000000011110000100 (26 bits)
Octal	0o300003604
Hexadecimal	0x3000784

Divisor Catalog (12)

1 2 4 157 314 628 80,149 160,298 320,596 12,583,393 25,166,786 50,333,572

Collatz Trajectory (106 steps to reach 1)

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

50,333,572 25,166,786 12,583,393 37,750,180 18,875,090 9,437,545 28,312,636 14,156,318 7,078,159 21,234,478 10,617,239 31,851,718 15,925,859 47,777,578 23,888,789 71,666,368 35,833,184 17,916,592 8,958,296 4,479,148 2,239,574 1,119,787 3,359,362 1,679,681 5,039,044 2,519,522 1,259,761 3,779,284 1,889,642 944,821 2,834,464 1,417,232 708,616 354,308 177,154 88,577 265,732 132,866 66,433 199,300 99,650 49,825 149,476 74,738 37,369 112,108 56,054 28,027 84,082 42,041 126,124 63,062 31,531 94,594 47,297 141,892 70,946 35,473 106,420 53,210

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