697,326

2 × 3 × 7 × 16603

697,326 factors as 2 × 3 × 7 × 16603. Its 16 positive divisors give a proper-divisor sum of 896,658, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 16603

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,593,984

Proper Divisor Sum 896,658

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #697303 ← → #697327

Radix Representation

Decimal	697326
Binary	10101010001111101110 (20 bits)
Octal	0o2521756
Hexadecimal	0xAA3EE

Divisor Catalog (16)

1 2 3 6 7 14 21 42 16,603 33,206 49,809 99,618 116,221 232,442 348,663 697,326

Collatz Trajectory (211 steps to reach 1)

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

697,326 348,663 1,045,990 522,995 1,568,986 784,493 2,353,480 1,176,740 588,370 294,185 882,556 441,278 220,639 661,918 330,959 992,878 496,439 1,489,318 744,659 2,233,978 1,116,989 3,350,968 1,675,484 837,742 418,871 1,256,614 628,307 1,884,922 942,461 2,827,384 1,413,692 706,846 353,423 1,060,270 530,135 1,590,406 795,203 2,385,610 1,192,805 3,578,416 1,789,208 894,604 447,302 223,651 670,954 335,477 1,006,432 503,216 251,608 125,804 62,902 31,451 94,354 47,177 141,532 70,766 35,383 106,150 53,075 159,226

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