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3,709,840

24 × 5 × 79 × 587
Abundant Even Composite

3,709,840 factors as 2^4 × 5 × 79 × 587. Its 40 positive divisors give a proper-divisor sum of 5,039,600, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 79 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,749,440
Proper Divisor Sum 5,039,600
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3709829 ← → #3709843

Radix Representation

Decimal 3709840
Binary 1110001001101110010000 (22 bits)
Octal 0o16115620
Hexadecimal 0x389B90

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 79 80 158 316 395 587 632 790 1,174 1,264 1,580 2,348 2,935 3,160 4,696 5,870 6,320 9,392 11,740 23,480 46,373 46,960 92,746 185,492 231,865 370,984 463,730 741,968 927,460 1,854,920 3,709,840

Collatz Trajectory (172 steps to reach 1)

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

3,709,840 1,854,920 927,460 463,730 231,865 695,596 347,798 173,899 521,698 260,849 782,548 391,274 195,637 586,912 293,456 146,728 73,364 36,682 18,341 55,024 27,512 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110

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