4,149,152

2⁵ × 7 × 18523

Starting at 4,149,152, the Collatz iteration reaches 1 after 273 steps. The first transition is 2074576; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 18523

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,336,096

Proper Divisor Sum 5,186,944

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4149151 ← → #4149161

Radix Representation

Decimal	4149152
Binary	1111110100111110100000 (22 bits)
Octal	0o17647640
Hexadecimal	0x3F4FA0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 18,523 37,046 74,092 129,661 148,184 259,322 296,368 518,644 592,736 1,037,288 2,074,576 4,149,152

Collatz Trajectory (273 steps to reach 1)

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

4,149,152 2,074,576 1,037,288 518,644 259,322 129,661 388,984 194,492 97,246 48,623 145,870 72,935 218,806 109,403 328,210 164,105 492,316 246,158 123,079 369,238 184,619 553,858 276,929 830,788 415,394 207,697 623,092 311,546 155,773 467,320 233,660 116,830 58,415 175,246 87,623 262,870 131,435 394,306 197,153 591,460 295,730 147,865 443,596 221,798 110,899 332,698 166,349 499,048 249,524 124,762 62,381 187,144 93,572 46,786 23,393 70,180 35,090 17,545 52,636 26,318

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