8,374,848

2⁶ × 3 × 53 × 823

8,374,848 has the prime decomposition 2^6 × 3 × 53 × 823. Its 4 distinct prime factors produce 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 53 × 823

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 22,603,968

Proper Divisor Sum 14,229,120

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8374841 ← → #8374871

Radix Representation

Decimal	8374848
Binary	11111111100101001000000 (23 bits)
Octal	0o37745100
Hexadecimal	0x7FCA40

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 823 848 1,272 1,646 1,696 2,469 2,544 3,292 3,392 4,938 5,088 6,584 9,876 10,176 13,168 19,752 26,336 39,504 43,619 52,672 79,008 87,238 130,857 158,016 174,476 261,714 348,952 523,428 697,904 1,046,856 1,395,808 2,093,712 2,791,616 4,187,424 8,374,848

Collatz Trajectory (168 steps to reach 1)

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

8,374,848 4,187,424 2,093,712 1,046,856 523,428 261,714 130,857 392,572 196,286 98,143 294,430 147,215 441,646 220,823 662,470 331,235 993,706 496,853 1,490,560 745,280 372,640 186,320 93,160 46,580 23,290 11,645 34,936 17,468 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250

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