42,050,452

2² × 17 × 479 × 1291

42,050,452 factors as 2^2 × 17 × 479 × 1291. Its 24 positive divisors give a proper-divisor sum of 36,089,708, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 479 × 1291

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 78,140,160

Proper Divisor Sum 36,089,708

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #42050447 ← → #42050479

Radix Representation

Decimal	42050452
Binary	10100000011010001110010100 (26 bits)
Octal	0o240321624
Hexadecimal	0x281A394

Divisor Catalog (24)

Collatz Trajectory (191 steps to reach 1)

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

42,050,452 21,025,226 10,512,613 31,537,840 15,768,920 7,884,460 3,942,230 1,971,115 5,913,346 2,956,673 8,870,020 4,435,010 2,217,505 6,652,516 3,326,258 1,663,129 4,989,388 2,494,694 1,247,347 3,742,042 1,871,021 5,613,064 2,806,532 1,403,266 701,633 2,104,900 1,052,450 526,225 1,578,676 789,338 394,669 1,184,008 592,004 296,002 148,001 444,004 222,002 111,001 333,004 166,502 83,251 249,754 124,877 374,632 187,316 93,658 46,829 140,488 70,244 35,122 17,561 52,684 26,342 13,171 39,514 19,757 59,272 29,636 14,818 7,409

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