40,420,420

2² × 5 × 1327 × 1523

40,420,420 factors as 2^2 × 5 × 1327 × 1523. Its 24 positive divisors give a proper-divisor sum of 44,582,204, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 1327 × 1523

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 85,002,624

Proper Divisor Sum 44,582,204

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #40420411 ← → #40420433

Radix Representation

Decimal	40420420
Binary	10011010001100010001000100 (26 bits)
Octal	0o232142104
Hexadecimal	0x268C444

Divisor Catalog (24)

Collatz Trajectory (209 steps to reach 1)

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

40,420,420 20,210,210 10,105,105 30,315,316 15,157,658 7,578,829 22,736,488 11,368,244 5,684,122 2,842,061 8,526,184 4,263,092 2,131,546 1,065,773 3,197,320 1,598,660 799,330 399,665 1,198,996 599,498 299,749 899,248 449,624 224,812 112,406 56,203 168,610 84,305 252,916 126,458 63,229 189,688 94,844 47,422 23,711 71,134 35,567 106,702 53,351 160,054 80,027 240,082 120,041 360,124 180,062 90,031 270,094 135,047 405,142 202,571 607,714 303,857 911,572 455,786 227,893 683,680 341,840 170,920 85,460 42,730

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