42,629,776

2⁴ × 7 × 380623

42,629,776 factors as 2^4 × 7 × 380623. Its 20 positive divisors give a proper-divisor sum of 51,764,976, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 380623

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 94,394,752

Proper Divisor Sum 51,764,976

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #42629773 ← → #42629803

Radix Representation

Decimal	42629776
Binary	10100010100111101010010000 (26 bits)
Octal	0o242475220
Hexadecimal	0x28A7A90

Divisor Catalog (20)

Collatz Trajectory (204 steps to reach 1)

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

42,629,776 21,314,888 10,657,444 5,328,722 2,664,361 7,993,084 3,996,542 1,998,271 5,994,814 2,997,407 8,992,222 4,496,111 13,488,334 6,744,167 20,232,502 10,116,251 30,348,754 15,174,377 45,523,132 22,761,566 11,380,783 34,142,350 17,071,175 51,213,526 25,606,763 76,820,290 38,410,145 115,230,436 57,615,218 28,807,609 86,422,828 43,211,414 21,605,707 64,817,122 32,408,561 97,225,684 48,612,842 24,306,421 72,919,264 36,459,632 18,229,816 9,114,908 4,557,454 2,278,727 6,836,182 3,418,091 10,254,274 5,127,137 15,381,412 7,690,706 3,845,353 11,536,060 5,768,030 2,884,015 8,652,046 4,326,023 12,978,070 6,489,035 19,467,106 9,733,553

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