λ
Prime Ledger

3,746,995

5 × 7 × 107057
Deficient Odd Composite

3,746,995 has the prime decomposition 5 × 7 × 107057. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 107057
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,138,784
Proper Divisor Sum 1,391,789
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3746983 ← → #3747019

Radix Representation

Decimal 3746995
Binary 1110010010110010110011 (22 bits)
Octal 0o16226263
Hexadecimal 0x392CB3

Divisor Catalog (8)

1 5 7 35 107,057 535,285 749,399 3,746,995

Collatz Trajectory (66 steps to reach 1)

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

3,746,995 11,240,986 5,620,493 16,861,480 8,430,740 4,215,370 2,107,685 6,323,056 3,161,528 1,580,764 790,382 395,191 1,185,574 592,787 1,778,362 889,181 2,667,544 1,333,772 666,886 333,443 1,000,330 500,165 1,500,496 750,248 375,124 187,562 93,781 281,344 140,672 70,336 35,168 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20

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