7,207,634

2 × 7 × 514831

7,207,634 factors as 2 × 7 × 514831. Its 8 positive divisors give a proper-divisor sum of 5,148,334, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 7 × 514831

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,355,968

Proper Divisor Sum 5,148,334

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7207633 ← → #7207649

Radix Representation

Decimal	7207634
Binary	11011011111101011010010 (23 bits)
Octal	0o33375322
Hexadecimal	0x6DFAD2

Divisor Catalog (8)

1 2 7 14 514,831 1,029,662 3,603,817 7,207,634

Collatz Trajectory (235 steps to reach 1)

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

7,207,634 3,603,817 10,811,452 5,405,726 2,702,863 8,108,590 4,054,295 12,162,886 6,081,443 18,244,330 9,122,165 27,366,496 13,683,248 6,841,624 3,420,812 1,710,406 855,203 2,565,610 1,282,805 3,848,416 1,924,208 962,104 481,052 240,526 120,263 360,790 180,395 541,186 270,593 811,780 405,890 202,945 608,836 304,418 152,209 456,628 228,314 114,157 342,472 171,236 85,618 42,809 128,428 64,214 32,107 96,322 48,161 144,484 72,242 36,121 108,364 54,182 27,091 81,274 40,637 121,912 60,956 30,478 15,239 45,718

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