7,849,780

2² × 5 × 392489

Starting at 7,849,780, the Collatz iteration reaches 1 after 155 steps. The first transition is 3924890; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 392489

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,484,580

Proper Divisor Sum 8,634,800

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7849729 ← → #7849781

Radix Representation

Decimal	7849780
Binary	11101111100011100110100 (23 bits)
Octal	0o35743464
Hexadecimal	0x77C734

Divisor Catalog (12)

1 2 4 5 10 20 392,489 784,978 1,569,956 1,962,445 3,924,890 7,849,780

Collatz Trajectory (155 steps to reach 1)

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

7,849,780 3,924,890 1,962,445 5,887,336 2,943,668 1,471,834 735,917 2,207,752 1,103,876 551,938 275,969 827,908 413,954 206,977 620,932 310,466 155,233 465,700 232,850 116,425 349,276 174,638 87,319 261,958 130,979 392,938 196,469 589,408 294,704 147,352 73,676 36,838 18,419 55,258 27,629 82,888 41,444 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300

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