3,693,739

7 × 157 × 3361

3,693,739 factors as 7 × 157 × 3361. Its 8 positive divisors give a proper-divisor sum of 555,829, so this integer is deficient. The Collatz stopping time is 278 steps.

Prime Factor Structure

Factorization String 7 × 157 × 3361

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,249,568

Proper Divisor Sum 555,829

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3693737 ← → #3693761

Radix Representation

Decimal	3693739
Binary	1110000101110010101011 (22 bits)
Octal	0o16056253
Hexadecimal	0x385CAB

Divisor Catalog (8)

1 7 157 1,099 3,361 23,527 527,677 3,693,739

Collatz Trajectory (278 steps to reach 1)

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

3,693,739 11,081,218 5,540,609 16,621,828 8,310,914 4,155,457 12,466,372 6,233,186 3,116,593 9,349,780 4,674,890 2,337,445 7,012,336 3,506,168 1,753,084 876,542 438,271 1,314,814 657,407 1,972,222 986,111 2,958,334 1,479,167 4,437,502 2,218,751 6,656,254 3,328,127 9,984,382 4,992,191 14,976,574 7,488,287 22,464,862 11,232,431 33,697,294 16,848,647 50,545,942 25,272,971 75,818,914 37,909,457 113,728,372 56,864,186 28,432,093 85,296,280 42,648,140 21,324,070 10,662,035 31,986,106 15,993,053 47,979,160 23,989,580 11,994,790 5,997,395 17,992,186 8,996,093 26,988,280 13,494,140 6,747,070 3,373,535 10,120,606 5,060,303

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