3,753,757

7 × 59 × 61 × 149

3,753,757 factors as 7 × 59 × 61 × 149. Its 16 positive divisors give a proper-divisor sum of 710,243, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 7 × 59 × 61 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,464,000

Proper Divisor Sum 710,243

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3753751 ← → #3753767

Radix Representation

Decimal	3753757
Binary	1110010100011100011101 (22 bits)
Octal	0o16243435
Hexadecimal	0x39471D

Divisor Catalog (16)

1 7 59 61 149 413 427 1,043 3,599 8,791 9,089 25,193 61,537 63,623 536,251 3,753,757

Collatz Trajectory (159 steps to reach 1)

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

3,753,757 11,261,272 5,630,636 2,815,318 1,407,659 4,222,978 2,111,489 6,334,468 3,167,234 1,583,617 4,750,852 2,375,426 1,187,713 3,563,140 1,781,570 890,785 2,672,356 1,336,178 668,089 2,004,268 1,002,134 501,067 1,503,202 751,601 2,254,804 1,127,402 563,701 1,691,104 845,552 422,776 211,388 105,694 52,847 158,542 79,271 237,814 118,907 356,722 178,361 535,084 267,542 133,771 401,314 200,657 601,972 300,986 150,493 451,480 225,740 112,870 56,435 169,306 84,653 253,960 126,980 63,490 31,745 95,236 47,618 23,809

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