42,725,642

2 × 19 × 29 × 137 × 283

42,725,642 factors as 2 × 19 × 29 × 137 × 283. Its 32 positive divisors give a proper-divisor sum of 27,819,958, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 19 × 29 × 137 × 283

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 70,545,600

Proper Divisor Sum 27,819,958

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #42725633 ← → #42725653

Radix Representation

Decimal	42725642
Binary	10100010111111000100001010 (26 bits)
Octal	0o242770412
Hexadecimal	0x28BF10A

Divisor Catalog (32)

Collatz Trajectory (191 steps to reach 1)

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

42,725,642 21,362,821 64,088,464 32,044,232 16,022,116 8,011,058 4,005,529 12,016,588 6,008,294 3,004,147 9,012,442 4,506,221 13,518,664 6,759,332 3,379,666 1,689,833 5,069,500 2,534,750 1,267,375 3,802,126 1,901,063 5,703,190 2,851,595 8,554,786 4,277,393 12,832,180 6,416,090 3,208,045 9,624,136 4,812,068 2,406,034 1,203,017 3,609,052 1,804,526 902,263 2,706,790 1,353,395 4,060,186 2,030,093 6,090,280 3,045,140 1,522,570 761,285 2,283,856 1,141,928 570,964 285,482 142,741 428,224 214,112 107,056 53,528 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528

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