1,042,321

7 × 17 × 19 × 461

1,042,321 has digital root 4. The neighboring primes are 1042309 and 1042331; its proper-divisor sum differs from the starting integer by -754,082.

Prime Factor Structure

Factorization String 7 × 17 × 19 × 461

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,330,560

Proper Divisor Sum 288,239

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #1042309 ← → #1042331

Radix Representation

Decimal	1042321
Binary	11111110011110010001 (20 bits)
Octal	0o3763621
Hexadecimal	0xFE791

Divisor Catalog (16)

1 7 17 19 119 133 323 461 2,261 3,227 7,837 8,759 54,859 61,313 148,903 1,042,321

Collatz Trajectory (165 steps to reach 1)

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

1,042,321 3,126,964 1,563,482 781,741 2,345,224 1,172,612 586,306 293,153 879,460 439,730 219,865 659,596 329,798 164,899 494,698 247,349 742,048 371,024 185,512 92,756 46,378 23,189 69,568 34,784 17,392 8,696 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31

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