4,426,475

5² × 59 × 3001

4,426,475 factors as 5^2 × 59 × 3001. Its 12 positive divisors give a proper-divisor sum of 1,157,245, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 5^2 × 59 × 3001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,583,720

Proper Divisor Sum 1,157,245

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4426451 ← → #4426481

Radix Representation

Decimal	4426475
Binary	10000111000101011101011 (23 bits)
Octal	0o20705353
Hexadecimal	0x438AEB

Divisor Catalog (12)

1 5 25 59 295 1,475 3,001 15,005 75,025 177,059 885,295 4,426,475

Collatz Trajectory (149 steps to reach 1)

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

4,426,475 13,279,426 6,639,713 19,919,140 9,959,570 4,979,785 14,939,356 7,469,678 3,734,839 11,204,518 5,602,259 16,806,778 8,403,389 25,210,168 12,605,084 6,302,542 3,151,271 9,453,814 4,726,907 14,180,722 7,090,361 21,271,084 10,635,542 5,317,771 15,953,314 7,976,657 23,929,972 11,964,986 5,982,493 17,947,480 8,973,740 4,486,870 2,243,435 6,730,306 3,365,153 10,095,460 5,047,730 2,523,865 7,571,596 3,785,798 1,892,899 5,678,698 2,839,349 8,518,048 4,259,024 2,129,512 1,064,756 532,378 266,189 798,568 399,284 199,642 99,821 299,464 149,732 74,866 37,433 112,300 56,150 28,075

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