4,227,488

2⁵ × 132109

4,227,488 factors as 2^5 × 132109. Its 12 positive divisors give a proper-divisor sum of 4,095,442, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^5 × 132109

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,322,930

Proper Divisor Sum 4,095,442

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4227451 ← → #4227491

Radix Representation

Decimal	4227488
Binary	10000001000000110100000 (23 bits)
Octal	0o20100640
Hexadecimal	0x4081A0

Divisor Catalog (12)

1 2 4 8 16 32 132,109 264,218 528,436 1,056,872 2,113,744 4,227,488

Collatz Trajectory (105 steps to reach 1)

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

4,227,488 2,113,744 1,056,872 528,436 264,218 132,109 396,328 198,164 99,082 49,541 148,624 74,312 37,156 18,578 9,289 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837

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