6,972,993

3³ × 41 × 6299

6,972,993 factors as 3^3 × 41 × 6299. Its 16 positive divisors give a proper-divisor sum of 3,611,007, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3^3 × 41 × 6299

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,584,000

Proper Divisor Sum 3,611,007

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6972961 ← → #6973003

Radix Representation

Decimal	6972993
Binary	11010100110011001000001 (23 bits)
Octal	0o32463101
Hexadecimal	0x6A6641

Divisor Catalog (16)

1 3 9 27 41 123 369 1,107 6,299 18,897 56,691 170,073 258,259 774,777 2,324,331 6,972,993

Collatz Trajectory (103 steps to reach 1)

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

6,972,993 20,918,980 10,459,490 5,229,745 15,689,236 7,844,618 3,922,309 11,766,928 5,883,464 2,941,732 1,470,866 735,433 2,206,300 1,103,150 551,575 1,654,726 827,363 2,482,090 1,241,045 3,723,136 1,861,568 930,784 465,392 232,696 116,348 58,174 29,087 87,262 43,631 130,894 65,447 196,342 98,171 294,514 147,257 441,772 220,886 110,443 331,330 165,665 496,996 248,498 124,249 372,748 186,374 93,187 279,562 139,781 419,344 209,672 104,836 52,418 26,209 78,628 39,314 19,657 58,972 29,486 14,743 44,230

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