7,991,732

2² × 7 × 61 × 4679

7,991,732 factors as 2^2 × 7 × 61 × 4679. Its 24 positive divisors give a proper-divisor sum of 8,257,228, so this integer is abundant. The Collatz stopping time is 305 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 61 × 4679

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,248,960

Proper Divisor Sum 8,257,228

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7991713 ← → #7991743

Radix Representation

Decimal	7991732
Binary	11110011111000110110100 (23 bits)
Octal	0o36370664
Hexadecimal	0x79F1B4

Divisor Catalog (24)

Collatz Trajectory (305 steps to reach 1)

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

7,991,732 3,995,866 1,997,933 5,993,800 2,996,900 1,498,450 749,225 2,247,676 1,123,838 561,919 1,685,758 842,879 2,528,638 1,264,319 3,792,958 1,896,479 5,689,438 2,844,719 8,534,158 4,267,079 12,801,238 6,400,619 19,201,858 9,600,929 28,802,788 14,401,394 7,200,697 21,602,092 10,801,046 5,400,523 16,201,570 8,100,785 24,302,356 12,151,178 6,075,589 18,226,768 9,113,384 4,556,692 2,278,346 1,139,173 3,417,520 1,708,760 854,380 427,190 213,595 640,786 320,393 961,180 480,590 240,295 720,886 360,443 1,081,330 540,665 1,621,996 810,998 405,499 1,216,498 608,249 1,824,748

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,991,731 Browse Full Index Next Integer #7,991,733 →