7,843,852

2² × 37 × 52999

Starting at 7,843,852, the Collatz iteration reaches 1 after 155 steps. The first transition is 3921926; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 52999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,098,000

Proper Divisor Sum 6,254,148

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7843819 ← → #7843853

Radix Representation

Decimal	7843852
Binary	11101111011000000001100 (23 bits)
Octal	0o35730014
Hexadecimal	0x77B00C

Divisor Catalog (12)

1 2 4 37 74 148 52,999 105,998 211,996 1,960,963 3,921,926 7,843,852

Collatz Trajectory (155 steps to reach 1)

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

7,843,852 3,921,926 1,960,963 5,882,890 2,941,445 8,824,336 4,412,168 2,206,084 1,103,042 551,521 1,654,564 827,282 413,641 1,240,924 620,462 310,231 930,694 465,347 1,396,042 698,021 2,094,064 1,047,032 523,516 261,758 130,879 392,638 196,319 588,958 294,479 883,438 441,719 1,325,158 662,579 1,987,738 993,869 2,981,608 1,490,804 745,402 372,701 1,118,104 559,052 279,526 139,763 419,290 209,645 628,936 314,468 157,234 78,617 235,852 117,926 58,963 176,890 88,445 265,336 132,668 66,334 33,167 99,502 49,751

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