4,334,409

3² × 401 × 1201

4,334,409 factors as 3^2 × 401 × 1201. Its 12 positive divisors give a proper-divisor sum of 1,947,243, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 3^2 × 401 × 1201

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,281,652

Proper Divisor Sum 1,947,243

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4334401 ← → #4334417

Radix Representation

Decimal	4334409
Binary	10000100010001101001001 (23 bits)
Octal	0o20421511
Hexadecimal	0x422349

Divisor Catalog (12)

1 3 9 401 1,201 1,203 3,603 3,609 10,809 481,601 1,444,803 4,334,409

Collatz Trajectory (66 steps to reach 1)

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

4,334,409 13,003,228 6,501,614 3,250,807 9,752,422 4,876,211 14,628,634 7,314,317 21,942,952 10,971,476 5,485,738 2,742,869 8,228,608 4,114,304 2,057,152 1,028,576 514,288 257,144 128,572 64,286 32,143 96,430 48,215 144,646 72,323 216,970 108,485 325,456 162,728 81,364 40,682 20,341 61,024 30,512 15,256 7,628 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128

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