3,973,976

2³ × 496747

3,973,976 factors as 2^3 × 496747. Its 8 positive divisors give a proper-divisor sum of 3,477,244, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 496747

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,451,220

Proper Divisor Sum 3,477,244

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #3973973 ← → #3973997

Radix Representation

Decimal	3973976
Binary	1111001010001101011000 (22 bits)
Octal	0o17121530
Hexadecimal	0x3CA358

Divisor Catalog (8)

1 2 4 8 496,747 993,494 1,986,988 3,973,976

Collatz Trajectory (141 steps to reach 1)

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

3,973,976 1,986,988 993,494 496,747 1,490,242 745,121 2,235,364 1,117,682 558,841 1,676,524 838,262 419,131 1,257,394 628,697 1,886,092 943,046 471,523 1,414,570 707,285 2,121,856 1,060,928 530,464 265,232 132,616 66,308 33,154 16,577 49,732 24,866 12,433 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,973,975 Browse Full Index Next Integer #3,973,977 →