425,744

2⁴ × 11 × 41 × 59

425,744 has digital root 8. The neighboring primes are 425713 and 425779; its proper-divisor sum differs from the starting integer by 85,952.

Prime Factor Structure

Factorization String 2^4 × 11 × 41 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 937,440

Proper Divisor Sum 511,696

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #425713 ← → #425779

Radix Representation

Decimal	425744
Binary	1100111111100010000 (19 bits)
Octal	0o1477420
Hexadecimal	0x67F10

Divisor Catalog (40)

1 2 4 8 11 16 22 41 44 59 82 88 118 164 176 236 328 451 472 649 656 902 944 1,298 1,804 2,419 2,596 3,608 4,838 5,192 7,216 9,676 10,384 19,352 26,609 38,704 53,218 106,436 212,872 425,744

Collatz Trajectory (143 steps to reach 1)

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

425,744 212,872 106,436 53,218 26,609 79,828 39,914 19,957 59,872 29,936 14,968 7,484 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466

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