7,206,471

3² × 29 × 27611

7,206,471 factors as 3^2 × 29 × 27611. Its 12 positive divisors give a proper-divisor sum of 3,562,209, so this integer is deficient. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 27611

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,768,680

Proper Divisor Sum 3,562,209

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7206469 ← → #7206473

Radix Representation

Decimal	7206471
Binary	11011011111011001000111 (23 bits)
Octal	0o33373107
Hexadecimal	0x6DF647

Divisor Catalog (12)

1 3 9 29 87 261 27,611 82,833 248,499 800,719 2,402,157 7,206,471

Collatz Trajectory (266 steps to reach 1)

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

7,206,471 21,619,414 10,809,707 32,429,122 16,214,561 48,643,684 24,321,842 12,160,921 36,482,764 18,241,382 9,120,691 27,362,074 13,681,037 41,043,112 20,521,556 10,260,778 5,130,389 15,391,168 7,695,584 3,847,792 1,923,896 961,948 480,974 240,487 721,462 360,731 1,082,194 541,097 1,623,292 811,646 405,823 1,217,470 608,735 1,826,206 913,103 2,739,310 1,369,655 4,108,966 2,054,483 6,163,450 3,081,725 9,245,176 4,622,588 2,311,294 1,155,647 3,466,942 1,733,471 5,200,414 2,600,207 7,800,622 3,900,311 11,700,934 5,850,467 17,551,402 8,775,701 26,327,104 13,163,552 6,581,776 3,290,888 1,645,444

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