3,704,841

3² × 7² × 31 × 271

3,704,841 factors as 3^2 × 7^2 × 31 × 271. Its 36 positive divisors give a proper-divisor sum of 2,744,823, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 31 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,449,664

Proper Divisor Sum 2,744,823

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3704821 ← → #3704843

Radix Representation

Decimal	3704841
Binary	1110001000100000001001 (22 bits)
Octal	0o16104011
Hexadecimal	0x388809

Divisor Catalog (36)

1 3 7 9 21 31 49 63 93 147 217 271 279 441 651 813 1,519 1,897 1,953 2,439 4,557 5,691 8,401 13,279 13,671 17,073 25,203 39,837 58,807 75,609 119,511 176,421 411,649 529,263 1,234,947 3,704,841

Collatz Trajectory (110 steps to reach 1)

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

3,704,841 11,114,524 5,557,262 2,778,631 8,335,894 4,167,947 12,503,842 6,251,921 18,755,764 9,377,882 4,688,941 14,066,824 7,033,412 3,516,706 1,758,353 5,275,060 2,637,530 1,318,765 3,956,296 1,978,148 989,074 494,537 1,483,612 741,806 370,903 1,112,710 556,355 1,669,066 834,533 2,503,600 1,251,800 625,900 312,950 156,475 469,426 234,713 704,140 352,070 176,035 528,106 264,053 792,160 396,080 198,040 99,020 49,510 24,755 74,266 37,133 111,400 55,700 27,850 13,925 41,776 20,888 10,444 5,222 2,611 7,834 3,917

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