λ
Math Directory

3,991,773

3 × 859 × 1549
Deficient Odd Composite

3,991,773 factors as 3 × 859 × 1549. Its 8 positive divisors give a proper-divisor sum of 1,340,227, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3 × 859 × 1549
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,332,000
Proper Divisor Sum 1,340,227
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3991751 ← → #3991807

Radix Representation

Decimal 3991773
Binary 1111001110100011011101 (22 bits)
Octal 0o17164335
Hexadecimal 0x3CE8DD

Divisor Catalog (8)

1 3 859 1,549 2,577 4,647 1,330,591 3,991,773

Collatz Trajectory (141 steps to reach 1)

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

3,991,773 11,975,320 5,987,660 2,993,830 1,496,915 4,490,746 2,245,373 6,736,120 3,368,060 1,684,030 842,015 2,526,046 1,263,023 3,789,070 1,894,535 5,683,606 2,841,803 8,525,410 4,262,705 12,788,116 6,394,058 3,197,029 9,591,088 4,795,544 2,397,772 1,198,886 599,443 1,798,330 899,165 2,697,496 1,348,748 674,374 337,187 1,011,562 505,781 1,517,344 758,672 379,336 189,668 94,834 47,417 142,252 71,126 35,563 106,690 53,345 160,036 80,018 40,009 120,028 60,014 30,007 90,022 45,011 135,034 67,517 202,552 101,276 50,638 25,319

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