4,093,384

2³ × 37 × 13829

4,093,384 factors as 2^3 × 37 × 13829. Its 16 positive divisors give a proper-divisor sum of 3,789,716, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 13829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,883,100

Proper Divisor Sum 3,789,716

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4093367 ← → #4093391

Radix Representation

Decimal	4093384
Binary	1111100111010111001000 (22 bits)
Octal	0o17472710
Hexadecimal	0x3E75C8

Divisor Catalog (16)

1 2 4 8 37 74 148 296 13,829 27,658 55,316 110,632 511,673 1,023,346 2,046,692 4,093,384

Collatz Trajectory (105 steps to reach 1)

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

4,093,384 2,046,692 1,023,346 511,673 1,535,020 767,510 383,755 1,151,266 575,633 1,726,900 863,450 431,725 1,295,176 647,588 323,794 161,897 485,692 242,846 121,423 364,270 182,135 546,406 273,203 819,610 409,805 1,229,416 614,708 307,354 153,677 461,032 230,516 115,258 57,629 172,888 86,444 43,222 21,611 64,834 32,417 97,252 48,626 24,313 72,940 36,470 18,235 54,706 27,353 82,060 41,030 20,515 61,546 30,773 92,320 46,160 23,080 11,540 5,770 2,885 8,656 4,328

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