3,975,072

2⁵ × 3 × 47 × 881

Starting at 3,975,072, the Collatz iteration reaches 1 after 123 steps. The first transition is 1987536; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 47 × 881

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,668,672

Proper Divisor Sum 6,693,600

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3975031 ← → #3975089

Radix Representation

Decimal	3975072
Binary	1111001010011110100000 (22 bits)
Octal	0o17123640
Hexadecimal	0x3CA7A0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 881 1,128 1,504 1,762 2,256 2,643 3,524 4,512 5,286 7,048 10,572 14,096 21,144 28,192 41,407 42,288 82,814 84,576 124,221 165,628 248,442 331,256 496,884 662,512 993,768 1,325,024 1,987,536 3,975,072

Collatz Trajectory (123 steps to reach 1)

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

3,975,072 1,987,536 993,768 496,884 248,442 124,221 372,664 186,332 93,166 46,583 139,750 69,875 209,626 104,813 314,440 157,220 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966 27,983 83,950 41,975 125,926 62,963 188,890 94,445 283,336 141,668 70,834 35,417 106,252 53,126 26,563 79,690 39,845 119,536 59,768 29,884 14,942 7,471 22,414 11,207 33,622 16,811 50,434 25,217

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