3,914,289

3² × 434921

Starting at 3,914,289, the Collatz iteration reaches 1 after 154 steps. The first transition is 11742868; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 434921

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,653,986

Proper Divisor Sum 1,739,697

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3914279 ← → #3914291

Radix Representation

Decimal	3914289
Binary	1110111011101000110001 (22 bits)
Octal	0o16735061
Hexadecimal	0x3BBA31

Divisor Catalog (6)

1 3 9 434,921 1,304,763 3,914,289

Collatz Trajectory (154 steps to reach 1)

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

3,914,289 11,742,868 5,871,434 2,935,717 8,807,152 4,403,576 2,201,788 1,100,894 550,447 1,651,342 825,671 2,477,014 1,238,507 3,715,522 1,857,761 5,573,284 2,786,642 1,393,321 4,179,964 2,089,982 1,044,991 3,134,974 1,567,487 4,702,462 2,351,231 7,053,694 3,526,847 10,580,542 5,290,271 15,870,814 7,935,407 23,806,222 11,903,111 35,709,334 17,854,667 53,564,002 26,782,001 80,346,004 40,173,002 20,086,501 60,259,504 30,129,752 15,064,876 7,532,438 3,766,219 11,298,658 5,649,329 16,947,988 8,473,994 4,236,997 12,710,992 6,355,496 3,177,748 1,588,874 794,437 2,383,312 1,191,656 595,828 297,914 148,957

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