42,752,428

2² × 10688107

42,752,428 factors as 2^2 × 10688107. Its 6 positive divisors give a proper-divisor sum of 32,064,328, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^2 × 10688107

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 74,816,756

Proper Divisor Sum 32,064,328

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #42752419 ← → #42752431

Radix Representation

Decimal	42752428
Binary	10100011000101100110101100 (26 bits)
Octal	0o243054654
Hexadecimal	0x28C59AC

Divisor Catalog (6)

1 2 4 10,688,107 21,376,214 42,752,428

Collatz Trajectory (121 steps to reach 1)

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

42,752,428 21,376,214 10,688,107 32,064,322 16,032,161 48,096,484 24,048,242 12,024,121 36,072,364 18,036,182 9,018,091 27,054,274 13,527,137 40,581,412 20,290,706 10,145,353 30,436,060 15,218,030 7,609,015 22,827,046 11,413,523 34,240,570 17,120,285 51,360,856 25,680,428 12,840,214 6,420,107 19,260,322 9,630,161 28,890,484 14,445,242 7,222,621 21,667,864 10,833,932 5,416,966 2,708,483 8,125,450 4,062,725 12,188,176 6,094,088 3,047,044 1,523,522 761,761 2,285,284 1,142,642 571,321 1,713,964 856,982 428,491 1,285,474 642,737 1,928,212 964,106 482,053 1,446,160 723,080 361,540 180,770 90,385 271,156

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