42,727,012

2² × 137 × 77969

42,727,012 factors as 2^2 × 137 × 77969. Its 12 positive divisors give a proper-divisor sum of 32,592,008, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 137 × 77969

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 75,319,020

Proper Divisor Sum 32,592,008

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #42727007 ← → #42727051

Radix Representation

Decimal	42727012
Binary	10100010111111011001100100 (26 bits)
Octal	0o242773144
Hexadecimal	0x28BF664

Divisor Catalog (12)

1 2 4 137 274 548 77,969 155,938 311,876 10,681,753 21,363,506 42,727,012

Collatz Trajectory (103 steps to reach 1)

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

42,727,012 21,363,506 10,681,753 32,045,260 16,022,630 8,011,315 24,033,946 12,016,973 36,050,920 18,025,460 9,012,730 4,506,365 13,519,096 6,759,548 3,379,774 1,689,887 5,069,662 2,534,831 7,604,494 3,802,247 11,406,742 5,703,371 17,110,114 8,555,057 25,665,172 12,832,586 6,416,293 19,248,880 9,624,440 4,812,220 2,406,110 1,203,055 3,609,166 1,804,583 5,413,750 2,706,875 8,120,626 4,060,313 12,180,940 6,090,470 3,045,235 9,135,706 4,567,853 13,703,560 6,851,780 3,425,890 1,712,945 5,138,836 2,569,418 1,284,709 3,854,128 1,927,064 963,532 481,766 240,883 722,650 361,325 1,083,976 541,988 270,994

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