928,240

2⁴ × 5 × 41 × 283

928,240 has digital root 7. The neighboring primes are 928231 and 928253; its proper-divisor sum differs from the starting integer by 362,128.

Prime Factor Structure

Factorization String 2^4 × 5 × 41 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,218,608

Proper Divisor Sum 1,290,368

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #928231 ← → #928253

Radix Representation

Decimal	928240
Binary	11100010100111110000 (20 bits)
Octal	0o3424760
Hexadecimal	0xE29F0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 41 80 82 164 205 283 328 410 566 656 820 1,132 1,415 1,640 2,264 2,830 3,280 4,528 5,660 11,320 11,603 22,640 23,206 46,412 58,015 92,824 116,030 185,648 232,060 464,120 928,240

Collatz Trajectory (139 steps to reach 1)

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

928,240 464,120 232,060 116,030 58,015 174,046 87,023 261,070 130,535 391,606 195,803 587,410 293,705 881,116 440,558 220,279 660,838 330,419 991,258 495,629 1,486,888 743,444 371,722 185,861 557,584 278,792 139,396 69,698 34,849 104,548 52,274 26,137 78,412 39,206 19,603 58,810 29,405 88,216 44,108 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890

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