8,376,032

2⁵ × 7 × 61 × 613

8,376,032 has digital root 2. The neighboring primes are 8376029 and 8376037; its proper-divisor sum differs from the starting integer by 2,434,208.

Prime Factor Structure

Factorization String 2^5 × 7 × 61 × 613

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,186,272

Proper Divisor Sum 10,810,240

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8376029 ← → #8376037

Radix Representation

Decimal	8376032
Binary	11111111100111011100000 (23 bits)
Octal	0o37747340
Hexadecimal	0x7FCEE0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 613 854 976 1,226 1,708 1,952 2,452 3,416 4,291 4,904 6,832 8,582 9,808 13,664 17,164 19,616 34,328 37,393 68,656 74,786 137,312 149,572 261,751 299,144 523,502 598,288 1,047,004 1,196,576 2,094,008 4,188,016 8,376,032

Collatz Trajectory (168 steps to reach 1)

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

8,376,032 4,188,016 2,094,008 1,047,004 523,502 261,751 785,254 392,627 1,177,882 588,941 1,766,824 883,412 441,706 220,853 662,560 331,280 165,640 82,820 41,410 20,705 62,116 31,058 15,529 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41

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