42,712,744

2³ × 5339093

42,712,744 factors as 2^3 × 5339093. Its 8 positive divisors give a proper-divisor sum of 37,373,666, so this integer is deficient. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^3 × 5339093

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 80,086,410

Proper Divisor Sum 37,373,666

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #42712739 ← → #42712777

Radix Representation

Decimal	42712744
Binary	10100010111011111010101000 (26 bits)
Octal	0o242737250
Hexadecimal	0x28BBEA8

Divisor Catalog (8)

1 2 4 8 5,339,093 10,678,186 21,356,372 42,712,744

Collatz Trajectory (266 steps to reach 1)

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

42,712,744 21,356,372 10,678,186 5,339,093 16,017,280 8,008,640 4,004,320 2,002,160 1,001,080 500,540 250,270 125,135 375,406 187,703 563,110 281,555 844,666 422,333 1,267,000 633,500 316,750 158,375 475,126 237,563 712,690 356,345 1,069,036 534,518 267,259 801,778 400,889 1,202,668 601,334 300,667 902,002 451,001 1,353,004 676,502 338,251 1,014,754 507,377 1,522,132 761,066 380,533 1,141,600 570,800 285,400 142,700 71,350 35,675 107,026 53,513 160,540 80,270 40,135 120,406 60,203 180,610 90,305 270,916

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