42,721,208

2³ × 5340151

42,721,208 factors as 2^3 × 5340151. Its 8 positive divisors give a proper-divisor sum of 37,381,072, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 5340151

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 80,102,280

Proper Divisor Sum 37,381,072

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #42721201 ← → #42721213

Radix Representation

Decimal	42721208
Binary	10100010111101111110111000 (26 bits)
Octal	0o242757670
Hexadecimal	0x28BDFB8

Divisor Catalog (8)

1 2 4 8 5,340,151 10,680,302 21,360,604 42,721,208

Collatz Trajectory (191 steps to reach 1)

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

42,721,208 21,360,604 10,680,302 5,340,151 16,020,454 8,010,227 24,030,682 12,015,341 36,046,024 18,023,012 9,011,506 4,505,753 13,517,260 6,758,630 3,379,315 10,137,946 5,068,973 15,206,920 7,603,460 3,801,730 1,900,865 5,702,596 2,851,298 1,425,649 4,276,948 2,138,474 1,069,237 3,207,712 1,603,856 801,928 400,964 200,482 100,241 300,724 150,362 75,181 225,544 112,772 56,386 28,193 84,580 42,290 21,145 63,436 31,718 15,859 47,578 23,789 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528

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