1,572,396

2² × 3 × 7 × 18719

1,572,396 factors as 2^2 × 3 × 7 × 18719. Its 24 positive divisors give a proper-divisor sum of 2,620,884, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 18719

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,193,280

Proper Divisor Sum 2,620,884

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1572379 ← → #1572401

Radix Representation

Decimal	1572396
Binary	101111111111000101100 (21 bits)
Octal	0o5777054
Hexadecimal	0x17FE2C

Divisor Catalog (24)

Collatz Trajectory (132 steps to reach 1)

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

1,572,396 786,198 393,099 1,179,298 589,649 1,768,948 884,474 442,237 1,326,712 663,356 331,678 165,839 497,518 248,759 746,278 373,139 1,119,418 559,709 1,679,128 839,564 419,782 209,891 629,674 314,837 944,512 472,256 236,128 118,064 59,032 29,516 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663

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