4,940,828

2² × 41 × 47 × 641

Starting at 4,940,828, the Collatz iteration reaches 1 after 118 steps. The first transition is 2470414; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 41 × 47 × 641

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,059,904

Proper Divisor Sum 4,119,076

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4940827 ← → #4940843

Radix Representation

Decimal	4940828
Binary	10010110110010000011100 (23 bits)
Octal	0o22662034
Hexadecimal	0x4B641C

Divisor Catalog (24)

1 2 4 41 47 82 94 164 188 641 1,282 1,927 2,564 3,854 7,708 26,281 30,127 52,562 60,254 105,124 120,508 1,235,207 2,470,414 4,940,828

Collatz Trajectory (118 steps to reach 1)

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

4,940,828 2,470,414 1,235,207 3,705,622 1,852,811 5,558,434 2,779,217 8,337,652 4,168,826 2,084,413 6,253,240 3,126,620 1,563,310 781,655 2,344,966 1,172,483 3,517,450 1,758,725 5,276,176 2,638,088 1,319,044 659,522 329,761 989,284 494,642 247,321 741,964 370,982 185,491 556,474 278,237 834,712 417,356 208,678 104,339 313,018 156,509 469,528 234,764 117,382 58,691 176,074 88,037 264,112 132,056 66,028 33,014 16,507 49,522 24,761 74,284 37,142 18,571 55,714 27,857 83,572 41,786 20,893 62,680 31,340

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