8,035,215

3 × 5 × 491 × 1091

Starting at 8,035,215, the Collatz iteration reaches 1 after 186 steps. The first transition is 24105646; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 491 × 1091

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,894,336

Proper Divisor Sum 4,859,121

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8035213 ← → #8035229

Radix Representation

Decimal	8035215
Binary	11110101001101110001111 (23 bits)
Octal	0o36515617
Hexadecimal	0x7A9B8F

Divisor Catalog (16)

1 3 5 15 491 1,091 1,473 2,455 3,273 5,455 7,365 16,365 535,681 1,607,043 2,678,405 8,035,215

Collatz Trajectory (186 steps to reach 1)

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

8,035,215 24,105,646 12,052,823 36,158,470 18,079,235 54,237,706 27,118,853 81,356,560 40,678,280 20,339,140 10,169,570 5,084,785 15,254,356 7,627,178 3,813,589 11,440,768 5,720,384 2,860,192 1,430,096 715,048 357,524 178,762 89,381 268,144 134,072 67,036 33,518 16,759 50,278 25,139 75,418 37,709 113,128 56,564 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498

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