3,696,429

3 × 11² × 17 × 599

For 3,696,429, the 24 positive divisors have a total of 5,745,600. Removing 3,696,429 leaves 2,049,171, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11^2 × 17 × 599

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,745,600

Proper Divisor Sum 2,049,171

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3696421 ← → #3696449

Radix Representation

Decimal	3696429
Binary	1110000110011100101101 (22 bits)
Octal	0o16063455
Hexadecimal	0x38672D

Divisor Catalog (24)

1 3 11 17 33 51 121 187 363 561 599 1,797 2,057 6,171 6,589 10,183 19,767 30,549 72,479 112,013 217,437 336,039 1,232,143 3,696,429

Collatz Trajectory (53 steps to reach 1)

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

3,696,429 11,089,288 5,544,644 2,772,322 1,386,161 4,158,484 2,079,242 1,039,621 3,118,864 1,559,432 779,716 389,858 194,929 584,788 292,394 146,197 438,592 219,296 109,648 54,824 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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