λ
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11,627,434

2 × 7 × 13 × 29 × 2203
Deficient Even Composite

11,627,434 factors as 2 × 7 × 13 × 29 × 2203. Its 32 positive divisors give a proper-divisor sum of 10,588,886, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 29 × 2203
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,216,320
Proper Divisor Sum 10,588,886
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #11627431 ← → #11627459

Radix Representation

Decimal 11627434
Binary 101100010110101110101010 (24 bits)
Octal 0o54265652
Hexadecimal 0xB16BAA

Divisor Catalog (32)

1 2 7 13 14 26 29 58 91 182 203 377 406 754 2,203 2,639 4,406 5,278 15,421 28,639 30,842 57,278 63,887 127,774 200,473 400,946 447,209 830,531 894,418 1,661,062 5,813,717 11,627,434

Collatz Trajectory (91 steps to reach 1)

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

11,627,434 5,813,717 17,441,152 8,720,576 4,360,288 2,180,144 1,090,072 545,036 272,518 136,259 408,778 204,389 613,168 306,584 153,292 76,646 38,323 114,970 57,485 172,456 86,228 43,114 21,557 64,672 32,336 16,168 8,084 4,042 2,021 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344

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