7,206,744

2³ × 3 × 467 × 643

7,206,744 factors as 2^3 × 3 × 467 × 643. Its 32 positive divisors give a proper-divisor sum of 10,876,776, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 467 × 643

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,083,520

Proper Divisor Sum 10,876,776

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7206743 ← → #7206767

Radix Representation

Decimal	7206744
Binary	11011011111011101011000 (23 bits)
Octal	0o33373530
Hexadecimal	0x6DF758

Divisor Catalog (32)

Collatz Trajectory (235 steps to reach 1)

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

7,206,744 3,603,372 1,801,686 900,843 2,702,530 1,351,265 4,053,796 2,026,898 1,013,449 3,040,348 1,520,174 760,087 2,280,262 1,140,131 3,420,394 1,710,197 5,130,592 2,565,296 1,282,648 641,324 320,662 160,331 480,994 240,497 721,492 360,746 180,373 541,120 270,560 135,280 67,640 33,820 16,910 8,455 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724

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