6,980,125

5³ × 19 × 2939

6,980,125 factors as 5^3 × 19 × 2939. Its 16 positive divisors give a proper-divisor sum of 2,192,675, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 5^3 × 19 × 2939

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,172,800

Proper Divisor Sum 2,192,675

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6980117 ← → #6980137

Radix Representation

Decimal	6980125
Binary	11010101000001000011101 (23 bits)
Octal	0o32501035
Hexadecimal	0x6A821D

Divisor Catalog (16)

1 5 19 25 95 125 475 2,375 2,939 14,695 55,841 73,475 279,205 367,375 1,396,025 6,980,125

Collatz Trajectory (160 steps to reach 1)

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

6,980,125 20,940,376 10,470,188 5,235,094 2,617,547 7,852,642 3,926,321 11,778,964 5,889,482 2,944,741 8,834,224 4,417,112 2,208,556 1,104,278 552,139 1,656,418 828,209 2,484,628 1,242,314 621,157 1,863,472 931,736 465,868 232,934 116,467 349,402 174,701 524,104 262,052 131,026 65,513 196,540 98,270 49,135 147,406 73,703 221,110 110,555 331,666 165,833 497,500 248,750 124,375 373,126 186,563 559,690 279,845 839,536 419,768 209,884 104,942 52,471 157,414 78,707 236,122 118,061 354,184 177,092 88,546 44,273

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