7,568,008

2³ × 7 × 149 × 907

7,568,008 has digital root 7. The neighboring primes are 7567991 and 7568021; its proper-divisor sum differs from the starting integer by 1,207,984.

Prime Factor Structure

Factorization String 2^3 × 7 × 149 × 907

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,344,000

Proper Divisor Sum 8,775,992

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7567991 ← → #7568021

Radix Representation

Decimal	7568008
Binary	11100110111101010001000 (23 bits)
Octal	0o34675210
Hexadecimal	0x737A88

Divisor Catalog (32)

1 2 4 7 8 14 28 56 149 298 596 907 1,043 1,192 1,814 2,086 3,628 4,172 6,349 7,256 8,344 12,698 25,396 50,792 135,143 270,286 540,572 946,001 1,081,144 1,892,002 3,784,004 7,568,008

Collatz Trajectory (204 steps to reach 1)

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

7,568,008 3,784,004 1,892,002 946,001 2,838,004 1,419,002 709,501 2,128,504 1,064,252 532,126 266,063 798,190 399,095 1,197,286 598,643 1,795,930 897,965 2,693,896 1,346,948 673,474 336,737 1,010,212 505,106 252,553 757,660 378,830 189,415 568,246 284,123 852,370 426,185 1,278,556 639,278 319,639 958,918 479,459 1,438,378 719,189 2,157,568 1,078,784 539,392 269,696 134,848 67,424 33,712 16,856 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334

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