43,288,778

2 × 13 × 431 × 3863

43,288,778 factors as 2 × 13 × 431 × 3863. Its 16 positive divisors give a proper-divisor sum of 26,819,638, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2 × 13 × 431 × 3863

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 70,108,416

Proper Divisor Sum 26,819,638

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #43288769 ← → #43288801

Radix Representation

Decimal	43288778
Binary	10100101001000100011001010 (26 bits)
Octal	0o245104312
Hexadecimal	0x29488CA

Divisor Catalog (16)

1 2 13 26 431 862 3,863 5,603 7,726 11,206 50,219 100,438 1,664,953 3,329,906 21,644,389 43,288,778

Collatz Trajectory (72 steps to reach 1)

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

43,288,778 21,644,389 64,933,168 32,466,584 16,233,292 8,116,646 4,058,323 12,174,970 6,087,485 18,262,456 9,131,228 4,565,614 2,282,807 6,848,422 3,424,211 10,272,634 5,136,317 15,408,952 7,704,476 3,852,238 1,926,119 5,778,358 2,889,179 8,667,538 4,333,769 13,001,308 6,500,654 3,250,327 9,750,982 4,875,491 14,626,474 7,313,237 21,939,712 10,969,856 5,484,928 2,742,464 1,371,232 685,616 342,808 171,404 85,702 42,851 128,554 64,277 192,832 96,416 48,208 24,104 12,052 6,026 3,013 9,040 4,520 2,260 1,130 565 1,696 848 424 212

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