3,382,473

3 × 17 × 29 × 2287

For 3,382,473, the 16 positive divisors have a total of 4,942,080. Removing 3,382,473 leaves 1,559,607, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 17 × 29 × 2287

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,942,080

Proper Divisor Sum 1,559,607

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3382453 ← → #3382493

Radix Representation

Decimal	3382473
Binary	1100111001110011001001 (22 bits)
Octal	0o14716311
Hexadecimal	0x339CC9

Divisor Catalog (16)

1 3 17 29 51 87 493 1,479 2,287 6,861 38,879 66,323 116,637 198,969 1,127,491 3,382,473

Collatz Trajectory (133 steps to reach 1)

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

3,382,473 10,147,420 5,073,710 2,536,855 7,610,566 3,805,283 11,415,850 5,707,925 17,123,776 8,561,888 4,280,944 2,140,472 1,070,236 535,118 267,559 802,678 401,339 1,204,018 602,009 1,806,028 903,014 451,507 1,354,522 677,261 2,031,784 1,015,892 507,946 253,973 761,920 380,960 190,480 95,240 47,620 23,810 11,905 35,716 17,858 8,929 26,788 13,394 6,697 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460

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