6,980,136

2³ × 3 × 290839

6,980,136 factors as 2^3 × 3 × 290839. Its 16 positive divisors give a proper-divisor sum of 10,470,264, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 290839

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,450,400

Proper Divisor Sum 10,470,264

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6980117 ← → #6980137

Radix Representation

Decimal	6980136
Binary	11010101000001000101000 (23 bits)
Octal	0o32501050
Hexadecimal	0x6A8228

Divisor Catalog (16)

1 2 3 4 6 8 12 24 290,839 581,678 872,517 1,163,356 1,745,034 2,326,712 3,490,068 6,980,136

Collatz Trajectory (253 steps to reach 1)

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

6,980,136 3,490,068 1,745,034 872,517 2,617,552 1,308,776 654,388 327,194 163,597 490,792 245,396 122,698 61,349 184,048 92,024 46,012 23,006 11,503 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847 497,542 248,771 746,314 373,157 1,119,472 559,736 279,868 139,934 69,967 209,902 104,951 314,854 157,427 472,282 236,141 708,424 354,212 177,106 88,553 265,660

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