4,412,421

3³ × 13² × 967

4,412,421 has digital root 9. The neighboring primes are 4412413 and 4412423; its proper-divisor sum differs from the starting integer by -1,739,082.

Prime Factor Structure

Factorization String 3^3 × 13^2 × 967

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,085,760

Proper Divisor Sum 2,673,339

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4412413 ← → #4412423

Radix Representation

Decimal	4412421
Binary	10000110101010000000101 (23 bits)
Octal	0o20652005
Hexadecimal	0x435405

Divisor Catalog (24)

1 3 9 13 27 39 117 169 351 507 967 1,521 2,901 4,563 8,703 12,571 26,109 37,713 113,139 163,423 339,417 490,269 1,470,807 4,412,421

Collatz Trajectory (87 steps to reach 1)

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

4,412,421 13,237,264 6,618,632 3,309,316 1,654,658 827,329 2,481,988 1,240,994 620,497 1,861,492 930,746 465,373 1,396,120 698,060 349,030 174,515 523,546 261,773 785,320 392,660 196,330 98,165 294,496 147,248 73,624 36,812 18,406 9,203 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130

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