6,972,104

2³ × 871513

6,972,104 factors as 2^3 × 871513. Its 8 positive divisors give a proper-divisor sum of 6,100,606, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 871513

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,072,710

Proper Divisor Sum 6,100,606

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6972079 ← → #6972127

Radix Representation

Decimal	6972104
Binary	11010100110001011001000 (23 bits)
Octal	0o32461310
Hexadecimal	0x6A62C8

Divisor Catalog (8)

1 2 4 8 871,513 1,743,026 3,486,052 6,972,104

Collatz Trajectory (191 steps to reach 1)

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

6,972,104 3,486,052 1,743,026 871,513 2,614,540 1,307,270 653,635 1,960,906 980,453 2,941,360 1,470,680 735,340 367,670 183,835 551,506 275,753 827,260 413,630 206,815 620,446 310,223 930,670 465,335 1,396,006 698,003 2,094,010 1,047,005 3,141,016 1,570,508 785,254 392,627 1,177,882 588,941 1,766,824 883,412 441,706 220,853 662,560 331,280 165,640 82,820 41,410 20,705 62,116 31,058 15,529 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354

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