4,694,048

2⁵ × 383²

Starting at 4,694,048, the Collatz iteration reaches 1 after 105 steps. The first transition is 2347024; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 383^2

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 9,265,599

Proper Divisor Sum 4,571,551

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4694033 ← → #4694069

Radix Representation

Decimal	4694048
Binary	10001111010000000100000 (23 bits)
Octal	0o21720040
Hexadecimal	0x47A020

Divisor Catalog (18)

1 2 4 8 16 32 383 766 1,532 3,064 6,128 12,256 146,689 293,378 586,756 1,173,512 2,347,024 4,694,048

Collatz Trajectory (105 steps to reach 1)

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

4,694,048 2,347,024 1,173,512 586,756 293,378 146,689 440,068 220,034 110,017 330,052 165,026 82,513 247,540 123,770 61,885 185,656 92,828 46,414 23,207 69,622 34,811 104,434 52,217 156,652 78,326 39,163 117,490 58,745 176,236 88,118 44,059 132,178 66,089 198,268 99,134 49,567 148,702 74,351 223,054 111,527 334,582 167,291 501,874 250,937 752,812 376,406 188,203 564,610 282,305 846,916 423,458 211,729 635,188 317,594 158,797 476,392 238,196 119,098 59,549 178,648

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