42,121,061

53 × 137 × 5801

42,121,061 factors as 53 × 137 × 5801. Its 8 positive divisors give a proper-divisor sum of 1,115,443, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 53 × 137 × 5801

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 43,236,504

Proper Divisor Sum 1,115,443

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #42121007 ← → #42121067

Radix Representation

Decimal	42121061
Binary	10100000101011011101100101 (26 bits)
Octal	0o240533545
Hexadecimal	0x282B765

Divisor Catalog (8)

1 53 137 5,801 7,261 307,453 794,737 42,121,061

Collatz Trajectory (147 steps to reach 1)

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

42,121,061 126,363,184 63,181,592 31,590,796 15,795,398 7,897,699 23,693,098 11,846,549 35,539,648 17,769,824 8,884,912 4,442,456 2,221,228 1,110,614 555,307 1,665,922 832,961 2,498,884 1,249,442 624,721 1,874,164 937,082 468,541 1,405,624 702,812 351,406 175,703 527,110 263,555 790,666 395,333 1,186,000 593,000 296,500 148,250 74,125 222,376 111,188 55,594 27,797 83,392 41,696 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240

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