42,727,556

2² × 29 × 337 × 1093

42,727,556 factors as 2^2 × 29 × 337 × 1093. Its 24 positive divisors give a proper-divisor sum of 34,924,564, so this integer is deficient. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 337 × 1093

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 77,652,120

Proper Divisor Sum 34,924,564

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #42727549 ← → #42727567

Radix Representation

Decimal	42727556
Binary	10100010111111100010000100 (26 bits)
Octal	0o242774204
Hexadecimal	0x28BF884

Divisor Catalog (24)

Collatz Trajectory (266 steps to reach 1)

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

42,727,556 21,363,778 10,681,889 32,045,668 16,022,834 8,011,417 24,034,252 12,017,126 6,008,563 18,025,690 9,012,845 27,038,536 13,519,268 6,759,634 3,379,817 10,139,452 5,069,726 2,534,863 7,604,590 3,802,295 11,406,886 5,703,443 17,110,330 8,555,165 25,665,496 12,832,748 6,416,374 3,208,187 9,624,562 4,812,281 14,436,844 7,218,422 3,609,211 10,827,634 5,413,817 16,241,452 8,120,726 4,060,363 12,181,090 6,090,545 18,271,636 9,135,818 4,567,909 13,703,728 6,851,864 3,425,932 1,712,966 856,483 2,569,450 1,284,725 3,854,176 1,927,088 963,544 481,772 240,886 120,443 361,330 180,665 541,996 270,998

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