1,059,565

5 × 13 × 16301

1,059,565 factors as 5 × 13 × 16301. Its 8 positive divisors give a proper-divisor sum of 309,803, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 5 × 13 × 16301

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,369,368

Proper Divisor Sum 309,803

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1059557 ← → #1059571

Radix Representation

Decimal	1059565
Binary	100000010101011101101 (21 bits)
Octal	0o4025355
Hexadecimal	0x102AED

Divisor Catalog (8)

1 5 13 65 16,301 81,505 211,913 1,059,565

Collatz Trajectory (103 steps to reach 1)

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

1,059,565 3,178,696 1,589,348 794,674 397,337 1,192,012 596,006 298,003 894,010 447,005 1,341,016 670,508 335,254 167,627 502,882 251,441 754,324 377,162 188,581 565,744 282,872 141,436 70,718 35,359 106,078 53,039 159,118 79,559 238,678 119,339 358,018 179,009 537,028 268,514 134,257 402,772 201,386 100,693 302,080 151,040 75,520 37,760 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124

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