1,017,653

7 × 13 × 53 × 211

1,017,653 factors as 7 × 13 × 53 × 211. Its 16 positive divisors give a proper-divisor sum of 264,523, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 7 × 13 × 53 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,282,176

Proper Divisor Sum 264,523

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1017649 ← → #1017673

Radix Representation

Decimal	1017653
Binary	11111000011100110101 (20 bits)
Octal	0o3703465
Hexadecimal	0xF8735

Divisor Catalog (16)

1 7 13 53 91 211 371 689 1,477 2,743 4,823 11,183 19,201 78,281 145,379 1,017,653

Collatz Trajectory (134 steps to reach 1)

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

1,017,653 3,052,960 1,526,480 763,240 381,620 190,810 95,405 286,216 143,108 71,554 35,777 107,332 53,666 26,833 80,500 40,250 20,125 60,376 30,188 15,094 7,547 22,642 11,321 33,964 16,982 8,491 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752

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