8,174,509

7 × 59 × 19793

Starting at 8,174,509, the Collatz iteration reaches 1 after 199 steps. The first transition is 24523528; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 59 × 19793

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,501,120

Proper Divisor Sum 1,326,611

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8174477 ← → #8174513

Radix Representation

Decimal	8174509
Binary	11111001011101110101101 (23 bits)
Octal	0o37135655
Hexadecimal	0x7CBBAD

Divisor Catalog (8)

1 7 59 413 19,793 138,551 1,167,787 8,174,509

Collatz Trajectory (199 steps to reach 1)

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

8,174,509 24,523,528 12,261,764 6,130,882 3,065,441 9,196,324 4,598,162 2,299,081 6,897,244 3,448,622 1,724,311 5,172,934 2,586,467 7,759,402 3,879,701 11,639,104 5,819,552 2,909,776 1,454,888 727,444 363,722 181,861 545,584 272,792 136,396 68,198 34,099 102,298 51,149 153,448 76,724 38,362 19,181 57,544 28,772 14,386 7,193 21,580 10,790 5,395 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441

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