3,942,015

3 × 5 × 7 × 11 × 3413

For 3,942,015, the 32 positive divisors have a total of 7,865,856. Removing 3,942,015 leaves 3,923,841, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 3413

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,865,856

Proper Divisor Sum 3,923,841

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3942007 ← → #3942023

Radix Representation

Decimal	3942015
Binary	1111000010011001111111 (22 bits)
Octal	0o17023177
Hexadecimal	0x3C267F

Divisor Catalog (32)

1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1,155 3,413 10,239 17,065 23,891 37,543 51,195 71,673 112,629 119,455 187,715 262,801 358,365 563,145 788,403 1,314,005 3,942,015

Collatz Trajectory (110 steps to reach 1)

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

3,942,015 11,826,046 5,913,023 17,739,070 8,869,535 26,608,606 13,304,303 39,912,910 19,956,455 59,869,366 29,934,683 89,804,050 44,902,025 134,706,076 67,353,038 33,676,519 101,029,558 50,514,779 151,544,338 75,772,169 227,316,508 113,658,254 56,829,127 170,487,382 85,243,691 255,731,074 127,865,537 383,596,612 191,798,306 95,899,153 287,697,460 143,848,730 71,924,365 215,773,096 107,886,548 53,943,274 26,971,637 80,914,912 40,457,456 20,228,728 10,114,364 5,057,182 2,528,591 7,585,774 3,792,887 11,378,662 5,689,331 17,067,994 8,533,997 25,601,992 12,800,996 6,400,498 3,200,249 9,600,748 4,800,374 2,400,187 7,200,562 3,600,281 10,800,844 5,400,422

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