7,880,826

2 × 3 × 17 × 77263

7,880,826 factors as 2 × 3 × 17 × 77263. Its 16 positive divisors give a proper-divisor sum of 8,808,198, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 77263

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,689,024

Proper Divisor Sum 8,808,198

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7880797 ← → #7880827

Radix Representation

Decimal	7880826
Binary	11110000100000001111010 (23 bits)
Octal	0o36040172
Hexadecimal	0x78407A

Divisor Catalog (16)

1 2 3 6 17 34 51 102 77,263 154,526 231,789 463,578 1,313,471 2,626,942 3,940,413 7,880,826

Collatz Trajectory (217 steps to reach 1)

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

7,880,826 3,940,413 11,821,240 5,910,620 2,955,310 1,477,655 4,432,966 2,216,483 6,649,450 3,324,725 9,974,176 4,987,088 2,493,544 1,246,772 623,386 311,693 935,080 467,540 233,770 116,885 350,656 175,328 87,664 43,832 21,916 10,958 5,479 16,438 8,219 24,658 12,329 36,988 18,494 9,247 27,742 13,871 41,614 20,807 62,422 31,211 93,634 46,817 140,452 70,226 35,113 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997

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