424,386

2 × 3³ × 29 × 271

424,386 has digital root 9. The neighboring primes are 424351 and 424397; its proper-divisor sum differs from the starting integer by 130,428.

Prime Factor Structure

Factorization String 2 × 3^3 × 29 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 979,200

Proper Divisor Sum 554,814

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #424351 ← → #424397

Radix Representation

Decimal	424386
Binary	1100111100111000010 (19 bits)
Octal	0o1474702
Hexadecimal	0x679C2

Divisor Catalog (32)

1 2 3 6 9 18 27 29 54 58 87 174 261 271 522 542 783 813 1,566 1,626 2,439 4,878 7,317 7,859 14,634 15,718 23,577 47,154 70,731 141,462 212,193 424,386

Collatz Trajectory (125 steps to reach 1)

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

424,386 212,193 636,580 318,290 159,145 477,436 238,718 119,359 358,078 179,039 537,118 268,559 805,678 402,839 1,208,518 604,259 1,812,778 906,389 2,719,168 1,359,584 679,792 339,896 169,948 84,974 42,487 127,462 63,731 191,194 95,597 286,792 143,396 71,698 35,849 107,548 53,774 26,887 80,662 40,331 120,994 60,497 181,492 90,746 45,373 136,120 68,060 34,030 17,015 51,046 25,523 76,570 38,285 114,856 57,428 28,714 14,357 43,072 21,536 10,768 5,384 2,692

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