6,978,625

5³ × 55829

6,978,625 factors as 5^3 × 55829. Its 8 positive divisors give a proper-divisor sum of 1,730,855, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 5^3 × 55829

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,709,480

Proper Divisor Sum 1,730,855

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6978617 ← → #6978641

Radix Representation

Decimal	6978625
Binary	11010100111110001000001 (23 bits)
Octal	0o32476101
Hexadecimal	0x6A7C41

Divisor Catalog (8)

1 5 25 125 55,829 279,145 1,395,725 6,978,625

Collatz Trajectory (204 steps to reach 1)

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

6,978,625 20,935,876 10,467,938 5,233,969 15,701,908 7,850,954 3,925,477 11,776,432 5,888,216 2,944,108 1,472,054 736,027 2,208,082 1,104,041 3,312,124 1,656,062 828,031 2,484,094 1,242,047 3,726,142 1,863,071 5,589,214 2,794,607 8,383,822 4,191,911 12,575,734 6,287,867 18,863,602 9,431,801 28,295,404 14,147,702 7,073,851 21,221,554 10,610,777 31,832,332 15,916,166 7,958,083 23,874,250 11,937,125 35,811,376 17,905,688 8,952,844 4,476,422 2,238,211 6,714,634 3,357,317 10,071,952 5,035,976 2,517,988 1,258,994 629,497 1,888,492 944,246 472,123 1,416,370 708,185 2,124,556 1,062,278 531,139 1,593,418

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