42,226,152

2³ × 3 × 61 × 28843

42,226,152 factors as 2^3 × 3 × 61 × 28843. Its 32 positive divisors give a proper-divisor sum of 65,073,528, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 61 × 28843

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 107,299,680

Proper Divisor Sum 65,073,528

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #42226141 ← → #42226169

Radix Representation

Decimal	42226152
Binary	10100001000101000111101000 (26 bits)
Octal	0o241050750
Hexadecimal	0x28451E8

Divisor Catalog (32)

Collatz Trajectory (129 steps to reach 1)

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

42,226,152 21,113,076 10,556,538 5,278,269 15,834,808 7,917,404 3,958,702 1,979,351 5,938,054 2,969,027 8,907,082 4,453,541 13,360,624 6,680,312 3,340,156 1,670,078 835,039 2,505,118 1,252,559 3,757,678 1,878,839 5,636,518 2,818,259 8,454,778 4,227,389 12,682,168 6,341,084 3,170,542 1,585,271 4,755,814 2,377,907 7,133,722 3,566,861 10,700,584 5,350,292 2,675,146 1,337,573 4,012,720 2,006,360 1,003,180 501,590 250,795 752,386 376,193 1,128,580 564,290 282,145 846,436 423,218 211,609 634,828 317,414 158,707 476,122 238,061 714,184 357,092 178,546 89,273 267,820

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