984,627

3² × 7 × 15629

984,627 factors as 3^2 × 7 × 15629. Its 12 positive divisors give a proper-divisor sum of 640,893, so this integer is deficient. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 15629

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,625,520

Proper Divisor Sum 640,893

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #984617 ← → #984667

Radix Representation

Decimal	984627
Binary	11110000011000110011 (20 bits)
Octal	0o3603063
Hexadecimal	0xF0633

Divisor Catalog (12)

1 3 7 9 21 63 15,629 46,887 109,403 140,661 328,209 984,627

Collatz Trajectory (258 steps to reach 1)

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

984,627 2,953,882 1,476,941 4,430,824 2,215,412 1,107,706 553,853 1,661,560 830,780 415,390 207,695 623,086 311,543 934,630 467,315 1,401,946 700,973 2,102,920 1,051,460 525,730 262,865 788,596 394,298 197,149 591,448 295,724 147,862 73,931 221,794 110,897 332,692 166,346 83,173 249,520 124,760 62,380 31,190 15,595 46,786 23,393 70,180 35,090 17,545 52,636 26,318 13,159 39,478 19,739 59,218 29,609 88,828 44,414 22,207 66,622 33,311 99,934 49,967 149,902 74,951 224,854

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #984,626 Browse Full Index Next Integer #984,628 →