3,706,417

11 × 13 × 25919

Starting at 3,706,417, the Collatz iteration reaches 1 after 203 steps. The first transition is 11119252; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 13 × 25919

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,354,560

Proper Divisor Sum 648,143

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3706399 ← → #3706433

Radix Representation

Decimal	3706417
Binary	1110001000111000110001 (22 bits)
Octal	0o16107061
Hexadecimal	0x388E31

Divisor Catalog (8)

1 11 13 143 25,919 285,109 336,947 3,706,417

Collatz Trajectory (203 steps to reach 1)

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

3,706,417 11,119,252 5,559,626 2,779,813 8,339,440 4,169,720 2,084,860 1,042,430 521,215 1,563,646 781,823 2,345,470 1,172,735 3,518,206 1,759,103 5,277,310 2,638,655 7,915,966 3,957,983 11,873,950 5,936,975 17,810,926 8,905,463 26,716,390 13,358,195 40,074,586 20,037,293 60,111,880 30,055,940 15,027,970 7,513,985 22,541,956 11,270,978 5,635,489 16,906,468 8,453,234 4,226,617 12,679,852 6,339,926 3,169,963 9,509,890 4,754,945 14,264,836 7,132,418 3,566,209 10,698,628 5,349,314 2,674,657 8,023,972 4,011,986 2,005,993 6,017,980 3,008,990 1,504,495 4,513,486 2,256,743 6,770,230 3,385,115 10,155,346 5,077,673

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