3,962,817

3³ × 317 × 463

For 3,962,817, the 16 positive divisors have a total of 5,902,080. Removing 3,962,817 leaves 1,939,263, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 317 × 463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,902,080

Proper Divisor Sum 1,939,263

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3962813 ← → #3962839

Radix Representation

Decimal	3962817
Binary	1111000111011111000001 (22 bits)
Octal	0o17073701
Hexadecimal	0x3C77C1

Divisor Catalog (16)

1 3 9 27 317 463 951 1,389 2,853 4,167 8,559 12,501 146,771 440,313 1,320,939 3,962,817

Collatz Trajectory (198 steps to reach 1)

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

3,962,817 11,888,452 5,944,226 2,972,113 8,916,340 4,458,170 2,229,085 6,687,256 3,343,628 1,671,814 835,907 2,507,722 1,253,861 3,761,584 1,880,792 940,396 470,198 235,099 705,298 352,649 1,057,948 528,974 264,487 793,462 396,731 1,190,194 595,097 1,785,292 892,646 446,323 1,338,970 669,485 2,008,456 1,004,228 502,114 251,057 753,172 376,586 188,293 564,880 282,440 141,220 70,610 35,305 105,916 52,958 26,479 79,438 39,719 119,158 59,579 178,738 89,369 268,108 134,054 67,027 201,082 100,541 301,624 150,812

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