4,094,814

2 × 3 × 251 × 2719

Starting at 4,094,814, the Collatz iteration reaches 1 after 229 steps. The first transition is 2047407; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 251 × 2719

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,225,280

Proper Divisor Sum 4,130,466

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4094813 ← → #4094819

Radix Representation

Decimal	4094814
Binary	1111100111101101011110 (22 bits)
Octal	0o17475536
Hexadecimal	0x3E7B5E

Divisor Catalog (16)

1 2 3 6 251 502 753 1,506 2,719 5,438 8,157 16,314 682,469 1,364,938 2,047,407 4,094,814

Collatz Trajectory (229 steps to reach 1)

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

4,094,814 2,047,407 6,142,222 3,071,111 9,213,334 4,606,667 13,820,002 6,910,001 20,730,004 10,365,002 5,182,501 15,547,504 7,773,752 3,886,876 1,943,438 971,719 2,915,158 1,457,579 4,372,738 2,186,369 6,559,108 3,279,554 1,639,777 4,919,332 2,459,666 1,229,833 3,689,500 1,844,750 922,375 2,767,126 1,383,563 4,150,690 2,075,345 6,226,036 3,113,018 1,556,509 4,669,528 2,334,764 1,167,382 583,691 1,751,074 875,537 2,626,612 1,313,306 656,653 1,969,960 984,980 492,490 246,245 738,736 369,368 184,684 92,342 46,171 138,514 69,257 207,772 103,886 51,943 155,830

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