3,808,721

7² × 19 × 4091

Starting at 3,808,721, the Collatz iteration reaches 1 after 102 steps. The first transition is 11426164; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 19 × 4091

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,664,880

Proper Divisor Sum 856,159

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3808711 ← → #3808751

Radix Representation

Decimal	3808721
Binary	1110100001110111010001 (22 bits)
Octal	0o16416721
Hexadecimal	0x3A1DD1

Divisor Catalog (12)

1 7 19 49 133 931 4,091 28,637 77,729 200,459 544,103 3,808,721

Collatz Trajectory (102 steps to reach 1)

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

3,808,721 11,426,164 5,713,082 2,856,541 8,569,624 4,284,812 2,142,406 1,071,203 3,213,610 1,606,805 4,820,416 2,410,208 1,205,104 602,552 301,276 150,638 75,319 225,958 112,979 338,938 169,469 508,408 254,204 127,102 63,551 190,654 95,327 285,982 142,991 428,974 214,487 643,462 321,731 965,194 482,597 1,447,792 723,896 361,948 180,974 90,487 271,462 135,731 407,194 203,597 610,792 305,396 152,698 76,349 229,048 114,524 57,262 28,631 85,894 42,947 128,842 64,421 193,264 96,632 48,316 24,158

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