733,644

2² × 3³ × 6793

733,644 has digital root 9. The neighboring primes are 733639 and 733651; its proper-divisor sum differs from the starting integer by 435,032.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 6793

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,902,320

Proper Divisor Sum 1,168,676

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #733639 ← → #733651

Radix Representation

Decimal	733644
Binary	10110011000111001100 (20 bits)
Octal	0o2630714
Hexadecimal	0xB31CC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 6,793 13,586 20,379 27,172 40,758 61,137 81,516 122,274 183,411 244,548 366,822 733,644

Collatz Trajectory (198 steps to reach 1)

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

733,644 366,822 183,411 550,234 275,117 825,352 412,676 206,338 103,169 309,508 154,754 77,377 232,132 116,066 58,033 174,100 87,050 43,525 130,576 65,288 32,644 16,322 8,161 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579

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