7,828,375

5³ × 62627

7,828,375 factors as 5^3 × 62627. Its 8 positive divisors give a proper-divisor sum of 1,941,593, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 5^3 × 62627

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,769,968

Proper Divisor Sum 1,941,593

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7828369 ← → #7828391

Radix Representation

Decimal	7828375
Binary	11101110111001110010111 (23 bits)
Octal	0o35671627
Hexadecimal	0x777397

Divisor Catalog (8)

1 5 25 125 62,627 313,135 1,565,675 7,828,375

Collatz Trajectory (217 steps to reach 1)

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

7,828,375 23,485,126 11,742,563 35,227,690 17,613,845 52,841,536 26,420,768 13,210,384 6,605,192 3,302,596 1,651,298 825,649 2,476,948 1,238,474 619,237 1,857,712 928,856 464,428 232,214 116,107 348,322 174,161 522,484 261,242 130,621 391,864 195,932 97,966 48,983 146,950 73,475 220,426 110,213 330,640 165,320 82,660 41,330 20,665 61,996 30,998 15,499 46,498 23,249 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278

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