42,435,026

2 × 17² × 73417

42,435,026 factors as 2 × 17^2 × 73417. Its 12 positive divisors give a proper-divisor sum of 25,182,952, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 17^2 × 73417

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 67,617,978

Proper Divisor Sum 25,182,952

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #42435013 ← → #42435047

Radix Representation

Decimal	42435026
Binary	10100001111000000111010010 (26 bits)
Octal	0o241700722
Hexadecimal	0x28781D2

Divisor Catalog (12)

1 2 17 34 289 578 73,417 146,834 1,248,089 2,496,178 21,217,513 42,435,026

Collatz Trajectory (235 steps to reach 1)

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

42,435,026 21,217,513 63,652,540 31,826,270 15,913,135 47,739,406 23,869,703 71,609,110 35,804,555 107,413,666 53,706,833 161,120,500 80,560,250 40,280,125 120,840,376 60,420,188 30,210,094 15,105,047 45,315,142 22,657,571 67,972,714 33,986,357 101,959,072 50,979,536 25,489,768 12,744,884 6,372,442 3,186,221 9,558,664 4,779,332 2,389,666 1,194,833 3,584,500 1,792,250 896,125 2,688,376 1,344,188 672,094 336,047 1,008,142 504,071 1,512,214 756,107 2,268,322 1,134,161 3,402,484 1,701,242 850,621 2,551,864 1,275,932 637,966 318,983 956,950 478,475 1,435,426 717,713 2,153,140 1,076,570 538,285 1,614,856

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