4,049,904

2⁴ × 3 × 139 × 607

Starting at 4,049,904, the Collatz iteration reaches 1 after 123 steps. The first transition is 2024952; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 139 × 607

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 10,554,880

Proper Divisor Sum 6,504,976

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4049897 ← → #4049921

Radix Representation

Decimal	4049904
Binary	1111011100101111110000 (22 bits)
Octal	0o17345760
Hexadecimal	0x3DCBF0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 139 278 417 556 607 834 1,112 1,214 1,668 1,821 2,224 2,428 3,336 3,642 4,856 6,672 7,284 9,712 14,568 29,136 84,373 168,746 253,119 337,492 506,238 674,984 1,012,476 1,349,968 2,024,952 4,049,904

Collatz Trajectory (123 steps to reach 1)

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

4,049,904 2,024,952 1,012,476 506,238 253,119 759,358 379,679 1,139,038 569,519 1,708,558 854,279 2,562,838 1,281,419 3,844,258 1,922,129 5,766,388 2,883,194 1,441,597 4,324,792 2,162,396 1,081,198 540,599 1,621,798 810,899 2,432,698 1,216,349 3,649,048 1,824,524 912,262 456,131 1,368,394 684,197 2,052,592 1,026,296 513,148 256,574 128,287 384,862 192,431 577,294 288,647 865,942 432,971 1,298,914 649,457 1,948,372 974,186 487,093 1,461,280 730,640 365,320 182,660 91,330 45,665 136,996 68,498 34,249 102,748 51,374 25,687

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