41,961,784

2³ × 5245223

41,961,784 factors as 2^3 × 5245223. Its 8 positive divisors give a proper-divisor sum of 36,716,576, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 5245223

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 78,678,360

Proper Divisor Sum 36,716,576

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #41961779 ← → #41961791

Radix Representation

Decimal	41961784
Binary	10100000000100100100111000 (26 bits)
Octal	0o240044470
Hexadecimal	0x2804938

Divisor Catalog (8)

1 2 4 8 5,245,223 10,490,446 20,980,892 41,961,784

Collatz Trajectory (129 steps to reach 1)

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

41,961,784 20,980,892 10,490,446 5,245,223 15,735,670 7,867,835 23,603,506 11,801,753 35,405,260 17,702,630 8,851,315 26,553,946 13,276,973 39,830,920 19,915,460 9,957,730 4,978,865 14,936,596 7,468,298 3,734,149 11,202,448 5,601,224 2,800,612 1,400,306 700,153 2,100,460 1,050,230 525,115 1,575,346 787,673 2,363,020 1,181,510 590,755 1,772,266 886,133 2,658,400 1,329,200 664,600 332,300 166,150 83,075 249,226 124,613 373,840 186,920 93,460 46,730 23,365 70,096 35,048 17,524 8,762 4,381 13,144 6,572 3,286 1,643 4,930 2,465 7,396

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