42,928,420

2² × 5 × 941 × 2281

42,928,420 factors as 2^2 × 5 × 941 × 2281. Its 24 positive divisors give a proper-divisor sum of 47,356,628, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 941 × 2281

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 90,285,048

Proper Divisor Sum 47,356,628

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #42928409 ← → #42928421

Radix Representation

Decimal	42928420
Binary	10100011110000100100100100 (26 bits)
Octal	0o243604444
Hexadecimal	0x28F0924

Divisor Catalog (24)

Collatz Trajectory (235 steps to reach 1)

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

42,928,420 21,464,210 10,732,105 32,196,316 16,098,158 8,049,079 24,147,238 12,073,619 36,220,858 18,110,429 54,331,288 27,165,644 13,582,822 6,791,411 20,374,234 10,187,117 30,561,352 15,280,676 7,640,338 3,820,169 11,460,508 5,730,254 2,865,127 8,595,382 4,297,691 12,893,074 6,446,537 19,339,612 9,669,806 4,834,903 14,504,710 7,252,355 21,757,066 10,878,533 32,635,600 16,317,800 8,158,900 4,079,450 2,039,725 6,119,176 3,059,588 1,529,794 764,897 2,294,692 1,147,346 573,673 1,721,020 860,510 430,255 1,290,766 645,383 1,936,150 968,075 2,904,226 1,452,113 4,356,340 2,178,170 1,089,085 3,267,256 1,633,628

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