1,782,452

2² × 7 × 63659

1,782,452 factors as 2^2 × 7 × 63659. Its 12 positive divisors give a proper-divisor sum of 1,782,508, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 63659

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,564,960

Proper Divisor Sum 1,782,508

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1782413 ← → #1782461

Radix Representation

Decimal	1782452
Binary	110110011001010110100 (21 bits)
Octal	0o6631264
Hexadecimal	0x1B32B4

Divisor Catalog (12)

1 2 4 7 14 28 63,659 127,318 254,636 445,613 891,226 1,782,452

Collatz Trajectory (158 steps to reach 1)

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

1,782,452 891,226 445,613 1,336,840 668,420 334,210 167,105 501,316 250,658 125,329 375,988 187,994 93,997 281,992 140,996 70,498 35,249 105,748 52,874 26,437 79,312 39,656 19,828 9,914 4,957 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322

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