7,985,236

2² × 7² × 131 × 311

Starting at 7,985,236, the Collatz iteration reaches 1 after 93 steps. The first transition is 3992618; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 131 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 16,432,416

Proper Divisor Sum 8,447,180

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7985227 ← → #7985239

Radix Representation

Decimal	7985236
Binary	11110011101100001010100 (23 bits)
Octal	0o36354124
Hexadecimal	0x79D854

Divisor Catalog (36)

1 2 4 7 14 28 49 98 131 196 262 311 524 622 917 1,244 1,834 2,177 3,668 4,354 6,419 8,708 12,838 15,239 25,676 30,478 40,741 60,956 81,482 162,964 285,187 570,374 1,140,748 1,996,309 3,992,618 7,985,236

Collatz Trajectory (93 steps to reach 1)

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

7,985,236 3,992,618 1,996,309 5,988,928 2,994,464 1,497,232 748,616 374,308 187,154 93,577 280,732 140,366 70,183 210,550 105,275 315,826 157,913 473,740 236,870 118,435 355,306 177,653 532,960 266,480 133,240 66,620 33,310 16,655 49,966 24,983 74,950 37,475 112,426 56,213 168,640 84,320 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236

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