4,008,352

2⁵ × 125261

4,008,352 factors as 2^5 × 125261. Its 12 positive divisors give a proper-divisor sum of 3,883,154, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^5 × 125261

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,891,506

Proper Divisor Sum 3,883,154

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4008349 ← → #4008377

Radix Representation

Decimal	4008352
Binary	1111010010100110100000 (22 bits)
Octal	0o17224640
Hexadecimal	0x3D29A0

Divisor Catalog (12)

1 2 4 8 16 32 125,261 250,522 501,044 1,002,088 2,004,176 4,008,352

Collatz Trajectory (92 steps to reach 1)

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

4,008,352 2,004,176 1,002,088 501,044 250,522 125,261 375,784 187,892 93,946 46,973 140,920 70,460 35,230 17,615 52,846 26,423 79,270 39,635 118,906 59,453 178,360 89,180 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118

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