7,675,272

2³ × 3² × 11² × 881

7,675,272 has digital root 9. The neighboring primes are 7675267 and 7675273; its proper-divisor sum differs from the starting integer by 7,524,126.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11^2 × 881

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 22,874,670

Proper Divisor Sum 15,199,398

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7675267 ← → #7675273

Radix Representation

Decimal	7675272
Binary	11101010001110110001000 (23 bits)
Octal	0o35216610
Hexadecimal	0x751D88

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 881 968 1,089 1,452 1,762 2,178 2,643 2,904 3,524 4,356 5,286 7,048 7,929 8,712 9,691 10,572 15,858 19,382 21,144 29,073 31,716 38,764 58,146 63,432 77,528 87,219 106,601 116,292 174,438 213,202 232,584

Collatz Trajectory (80 steps to reach 1)

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

7,675,272 3,837,636 1,918,818 959,409 2,878,228 1,439,114 719,557 2,158,672 1,079,336 539,668 269,834 134,917 404,752 202,376 101,188 50,594 25,297 75,892 37,946 18,973 56,920 28,460 14,230 7,115 21,346 10,673 32,020 16,010 8,005 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38

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