4,095,472

2⁴ × 23 × 31 × 359

Starting at 4,095,472, the Collatz iteration reaches 1 after 105 steps. The first transition is 2047736; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 23 × 31 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,570,880

Proper Divisor Sum 4,475,408

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4095461 ← → #4095473

Radix Representation

Decimal	4095472
Binary	1111100111110111110000 (22 bits)
Octal	0o17476760
Hexadecimal	0x3E7DF0

Divisor Catalog (40)

Collatz Trajectory (105 steps to reach 1)

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

4,095,472 2,047,736 1,023,868 511,934 255,967 767,902 383,951 1,151,854 575,927 1,727,782 863,891 2,591,674 1,295,837 3,887,512 1,943,756 971,878 485,939 1,457,818 728,909 2,186,728 1,093,364 546,682 273,341 820,024 410,012 205,006 102,503 307,510 153,755 461,266 230,633 691,900 345,950 172,975 518,926 259,463 778,390 389,195 1,167,586 583,793 1,751,380 875,690 437,845 1,313,536 656,768 328,384 164,192 82,096 41,048 20,524 10,262 5,131 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330

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