7,948,640

2⁵ × 5 × 7 × 47 × 151

7,948,640 factors as 2^5 × 5 × 7 × 47 × 151. Its 96 positive divisors give a proper-divisor sum of 14,114,464, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 47 × 151

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 22,063,104

Proper Divisor Sum 14,114,464

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7948637 ← → #7948643

Radix Representation

Decimal	7948640
Binary	11110010100100101100000 (23 bits)
Octal	0o36244540
Hexadecimal	0x794960

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 70 80 94 112 140 151 160 188 224 235 280 302 329 376 470 560 604 658 752 755 940 1,057 1,120 1,208 1,316 1,504 1,510 1,645 1,880 2,114 2,416 2,632 3,020 3,290 3,760 4,228 4,832 5,264 5,285 6,040 6,580 7,097 7,520 8,456

Collatz Trajectory (67 steps to reach 1)

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

7,948,640 3,974,320 1,987,160 993,580 496,790 248,395 745,186 372,593 1,117,780 558,890 279,445 838,336 419,168 209,584 104,792 52,396 26,198 13,099 39,298 19,649 58,948 29,474 14,737 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40

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