λ
Modular Archive

729,444

22 × 3 × 89 × 683
Abundant Even Composite

The decimal integer 729,444 is 10110010000101100100 in binary (20 bits), 2620544 in octal and B2164 in hexadecimal. Its digit sum is 30.

Prime Factor Structure

Factorization String 2^2 × 3 × 89 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,723,680
Proper Divisor Sum 994,236
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #729413 ← → #729451

Radix Representation

Decimal 729444
Binary 10110010000101100100 (20 bits)
Octal 0o2620544
Hexadecimal 0xB2164

Divisor Catalog (24)

1 2 3 4 6 12 89 178 267 356 534 683 1,068 1,366 2,049 2,732 4,098 8,196 60,787 121,574 182,361 243,148 364,722 729,444

Collatz Trajectory (136 steps to reach 1)

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

729,444 364,722 182,361 547,084 273,542 136,771 410,314 205,157 615,472 307,736 153,868 76,934 38,467 115,402 57,701 173,104 86,552 43,276 21,638 10,819 32,458 16,229 48,688 24,344 12,172 6,086 3,043 9,130 4,565 13,696 6,848 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

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