8,294,426

2 × 7³ × 107 × 113

For 8,294,426, the 32 positive divisors have a total of 14,774,400. Removing 8,294,426 leaves 6,479,974, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7^3 × 107 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,774,400

Proper Divisor Sum 6,479,974

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8294413 ← → #8294437

Radix Representation

Decimal	8294426
Binary	11111101001000000011010 (23 bits)
Octal	0o37510032
Hexadecimal	0x7E901A

Divisor Catalog (32)

1 2 7 14 49 98 107 113 214 226 343 686 749 791 1,498 1,582 5,243 5,537 10,486 11,074 12,091 24,182 36,701 38,759 73,402 77,518 84,637 169,274 592,459 1,184,918 4,147,213 8,294,426

Collatz Trajectory (168 steps to reach 1)

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

8,294,426 4,147,213 12,441,640 6,220,820 3,110,410 1,555,205 4,665,616 2,332,808 1,166,404 583,202 291,601 874,804 437,402 218,701 656,104 328,052 164,026 82,013 246,040 123,020 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41

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