7,906,320

2⁴ × 3² × 5 × 79 × 139

7,906,320 factors as 2^4 × 3^2 × 5 × 79 × 139. Its 120 positive divisors give a proper-divisor sum of 19,175,280, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 79 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 27,081,600

Proper Divisor Sum 19,175,280

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7906307 ← → #7906361

Radix Representation

Decimal	7906320
Binary	11110001010010000010000 (23 bits)
Octal	0o36122020
Hexadecimal	0x78A410

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 139 144 158 180 237 240 278 316 360 395 417 474 556 632 695 711 720 790 834 948 1,112 1,185 1,251 1,264 1,390 1,422 1,580 1,668 1,896 2,085 2,224 2,370 2,502 2,780

Collatz Trajectory (67 steps to reach 1)

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

7,906,320 3,953,160 1,976,580 988,290 494,145 1,482,436 741,218 370,609 1,111,828 555,914 277,957 833,872 416,936 208,468 104,234 52,117 156,352 78,176 39,088 19,544 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40

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