4,045,152

2⁵ × 3 × 29 × 1453

Starting at 4,045,152, the Collatz iteration reaches 1 after 84 steps. The first transition is 2022576; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 29 × 1453

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,992,240

Proper Divisor Sum 6,947,088

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4045147 ← → #4045163

Radix Representation

Decimal	4045152
Binary	1111011011100101100000 (22 bits)
Octal	0o17334540
Hexadecimal	0x3DB960

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1,392 1,453 2,784 2,906 4,359 5,812 8,718 11,624 17,436 23,248 34,872 42,137 46,496 69,744 84,274 126,411 139,488 168,548 252,822 337,096 505,644 674,192 1,011,288 1,348,384 2,022,576 4,045,152

Collatz Trajectory (84 steps to reach 1)

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

4,045,152 2,022,576 1,011,288 505,644 252,822 126,411 379,234 189,617 568,852 284,426 142,213 426,640 213,320 106,660 53,330 26,665 79,996 39,998 19,999 59,998 29,999 89,998 44,999 134,998 67,499 202,498 101,249 303,748 151,874 75,937 227,812 113,906 56,953 170,860 85,430 42,715 128,146 64,073 192,220 96,110 48,055 144,166 72,083 216,250 108,125 324,376 162,188 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277

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