42,128,776

2³ × 19 × 277163

42,128,776 factors as 2^3 × 19 × 277163. Its 16 positive divisors give a proper-divisor sum of 41,020,424, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 277163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 83,149,200

Proper Divisor Sum 41,020,424

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #42128761 ← → #42128791

Radix Representation

Decimal	42128776
Binary	10100000101101010110001000 (26 bits)
Octal	0o240552610
Hexadecimal	0x282D588

Divisor Catalog (16)

1 2 4 8 19 38 76 152 277,163 554,326 1,108,652 2,217,304 5,266,097 10,532,194 21,064,388 42,128,776

Collatz Trajectory (129 steps to reach 1)

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

42,128,776 21,064,388 10,532,194 5,266,097 15,798,292 7,899,146 3,949,573 11,848,720 5,924,360 2,962,180 1,481,090 740,545 2,221,636 1,110,818 555,409 1,666,228 833,114 416,557 1,249,672 624,836 312,418 156,209 468,628 234,314 117,157 351,472 175,736 87,868 43,934 21,967 65,902 32,951 98,854 49,427 148,282 74,141 222,424 111,212 55,606 27,803 83,410 41,705 125,116 62,558 31,279 93,838 46,919 140,758 70,379 211,138 105,569 316,708 158,354 79,177 237,532 118,766 59,383 178,150 89,075 267,226

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