4,401,432

2³ × 3³ × 7 × 41 × 71

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 41 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 14,515,200

Proper Divisor Sum 10,113,768

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4401427 ← → #4401433

Radix Representation

Decimal	4401432
Binary	10000110010100100011000 (23 bits)
Octal	0o20624430
Hexadecimal	0x432918

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 71 72 82 84 108 123 126 142 164 168 189 213 216 246 252 284 287 328 369 378 426 492 497 504 568 574 639 738 756 852 861 984 994 1,107 1,148 1,278 1,476 1,491 1,512

Collatz Trajectory (87 steps to reach 1)

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

4,401,432 2,200,716 1,100,358 550,179 1,650,538 825,269 2,475,808 1,237,904 618,952 309,476 154,738 77,369 232,108 116,054 58,027 174,082 87,041 261,124 130,562 65,281 195,844 97,922 48,961 146,884 73,442 36,721 110,164 55,082 27,541 82,624 41,312 20,656 10,328 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130

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