8,278,746

2 × 3 × 7² × 29 × 971

8,278,746 is even and not a perfect square. Its factorization is 2 × 3 × 7^2 × 29 × 971 and its 48 divisors sum to 19,945,440.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 29 × 971

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,945,440

Proper Divisor Sum 11,666,694

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8278729 ← → #8278763

Radix Representation

Decimal	8278746
Binary	11111100101001011011010 (23 bits)
Octal	0o37451332
Hexadecimal	0x7E52DA

Divisor Catalog (48)

1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 971 1,218 1,421 1,942 2,842 2,913 4,263 5,826 6,797 8,526 13,594 20,391 28,159 40,782 47,579 56,318 84,477 95,158 142,737 168,954 197,113 285,474 394,226 591,339 1,182,678 1,379,791 2,759,582 4,139,373 8,278,746

Collatz Trajectory (93 steps to reach 1)

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

8,278,746 4,139,373 12,418,120 6,209,060 3,104,530 1,552,265 4,656,796 2,328,398 1,164,199 3,492,598 1,746,299 5,238,898 2,619,449 7,858,348 3,929,174 1,964,587 5,893,762 2,946,881 8,840,644 4,420,322 2,210,161 6,630,484 3,315,242 1,657,621 4,972,864 2,486,432 1,243,216 621,608 310,804 155,402 77,701 233,104 116,552 58,276 29,138 14,569 43,708 21,854 10,927 32,782 16,391 49,174 24,587 73,762 36,881 110,644 55,322 27,661 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459

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