42,902,445

3 × 5 × 67 × 42689

42,902,445 factors as 3 × 5 × 67 × 42689. Its 16 positive divisors give a proper-divisor sum of 26,767,635, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3 × 5 × 67 × 42689

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 69,670,080

Proper Divisor Sum 26,767,635

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #42902423 ← → #42902449

Radix Representation

Decimal	42902445
Binary	10100011101010001110101101 (26 bits)
Octal	0o243521655
Hexadecimal	0x28EA3AD

Divisor Catalog (16)

1 3 5 15 67 201 335 1,005 42,689 128,067 213,445 640,335 2,860,163 8,580,489 14,300,815 42,902,445

Collatz Trajectory (178 steps to reach 1)

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

42,902,445 128,707,336 64,353,668 32,176,834 16,088,417 48,265,252 24,132,626 12,066,313 36,198,940 18,099,470 9,049,735 27,149,206 13,574,603 40,723,810 20,361,905 61,085,716 30,542,858 15,271,429 45,814,288 22,907,144 11,453,572 5,726,786 2,863,393 8,590,180 4,295,090 2,147,545 6,442,636 3,221,318 1,610,659 4,831,978 2,415,989 7,247,968 3,623,984 1,811,992 905,996 452,998 226,499 679,498 339,749 1,019,248 509,624 254,812 127,406 63,703 191,110 95,555 286,666 143,333 430,000 215,000 107,500 53,750 26,875 80,626 40,313 120,940 60,470 30,235 90,706 45,353

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