4,474,701

3² × 7 × 11² × 587

4,474,701 factors as 3^2 × 7 × 11^2 × 587. Its 36 positive divisors give a proper-divisor sum of 3,658,515, so this integer is deficient. The Collatz stopping time is 286 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 11^2 × 587

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 8,133,216

Proper Divisor Sum 3,658,515

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4474697 ← → #4474703

Radix Representation

Decimal	4474701
Binary	10001000100011101001101 (23 bits)
Octal	0o21043515
Hexadecimal	0x44474D

Divisor Catalog (36)

1 3 7 9 11 21 33 63 77 99 121 231 363 587 693 847 1,089 1,761 2,541 4,109 5,283 6,457 7,623 12,327 19,371 36,981 45,199 58,113 71,027 135,597 213,081 406,791 497,189 639,243 1,491,567 4,474,701

Collatz Trajectory (286 steps to reach 1)

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

4,474,701 13,424,104 6,712,052 3,356,026 1,678,013 5,034,040 2,517,020 1,258,510 629,255 1,887,766 943,883 2,831,650 1,415,825 4,247,476 2,123,738 1,061,869 3,185,608 1,592,804 796,402 398,201 1,194,604 597,302 298,651 895,954 447,977 1,343,932 671,966 335,983 1,007,950 503,975 1,511,926 755,963 2,267,890 1,133,945 3,401,836 1,700,918 850,459 2,551,378 1,275,689 3,827,068 1,913,534 956,767 2,870,302 1,435,151 4,305,454 2,152,727 6,458,182 3,229,091 9,687,274 4,843,637 14,530,912 7,265,456 3,632,728 1,816,364 908,182 454,091 1,362,274 681,137 2,043,412 1,021,706

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