7,843,384

2³ × 980423

7,843,384 factors as 2^3 × 980423. Its 8 positive divisors give a proper-divisor sum of 6,862,976, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^3 × 980423

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,706,360

Proper Divisor Sum 6,862,976

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7843361 ← → #7843439

Radix Representation

Decimal	7843384
Binary	11101111010111000111000 (23 bits)
Octal	0o35727070
Hexadecimal	0x77AE38

Divisor Catalog (8)

1 2 4 8 980,423 1,960,846 3,921,692 7,843,384

Collatz Trajectory (155 steps to reach 1)

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

7,843,384 3,921,692 1,960,846 980,423 2,941,270 1,470,635 4,411,906 2,205,953 6,617,860 3,308,930 1,654,465 4,963,396 2,481,698 1,240,849 3,722,548 1,861,274 930,637 2,791,912 1,395,956 697,978 348,989 1,046,968 523,484 261,742 130,871 392,614 196,307 588,922 294,461 883,384 441,692 220,846 110,423 331,270 165,635 496,906 248,453 745,360 372,680 186,340 93,170 46,585 139,756 69,878 34,939 104,818 52,409 157,228 78,614 39,307 117,922 58,961 176,884 88,442 44,221 132,664 66,332 33,166 16,583 49,750

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