6,733,736

2³ × 653 × 1289

6,733,736 factors as 2^3 × 653 × 1289. Its 16 positive divisors give a proper-divisor sum of 5,921,164, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^3 × 653 × 1289

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,654,900

Proper Divisor Sum 5,921,164

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6733721 ← → #6733747

Radix Representation

Decimal	6733736
Binary	11001101011111110101000 (23 bits)
Octal	0o31537650
Hexadecimal	0x66BFA8

Divisor Catalog (16)

1 2 4 8 653 1,289 1,306 2,578 2,612 5,156 5,224 10,312 841,717 1,683,434 3,366,868 6,733,736

Collatz Trajectory (72 steps to reach 1)

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

6,733,736 3,366,868 1,683,434 841,717 2,525,152 1,262,576 631,288 315,644 157,822 78,911 236,734 118,367 355,102 177,551 532,654 266,327 798,982 399,491 1,198,474 599,237 1,797,712 898,856 449,428 224,714 112,357 337,072 168,536 84,268 42,134 21,067 63,202 31,601 94,804 47,402 23,701 71,104 35,552 17,776 8,888 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34

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