42,015

3 × 5 × 2801

42,015 has the prime decomposition 3 × 5 × 2801. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 2801

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 67,248

Proper Divisor Sum 25,233

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #42013 ← → #42017

Radix Representation

Decimal	42015
Binary	1010010000011111 (16 bits)
Octal	0o122037
Hexadecimal	0xA41F

Divisor Catalog (8)

1 3 5 15 2,801 8,403 14,005 42,015

Collatz Trajectory (132 steps to reach 1)

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

42,015 126,046 63,023 189,070 94,535 283,606 141,803 425,410 212,705 638,116 319,058 159,529 478,588 239,294 119,647 358,942 179,471 538,414 269,207 807,622 403,811 1,211,434 605,717 1,817,152 908,576 454,288 227,144 113,572 56,786 28,393 85,180 42,590 21,295 63,886 31,943 95,830 47,915 143,746 71,873 215,620 107,810 53,905 161,716 80,858 40,429 121,288 60,644 30,322 15,161 45,484 22,742 11,371 34,114 17,057 51,172 25,586 12,793 38,380 19,190 9,595

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