7,354,636

2² × 1838659

Starting at 7,354,636, the Collatz iteration reaches 1 after 204 steps. The first transition is 3677318; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1838659

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 12,870,620

Proper Divisor Sum 5,515,984

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7354631 ← → #7354639

Radix Representation

Decimal	7354636
Binary	11100000011100100001100 (23 bits)
Octal	0o34034414
Hexadecimal	0x70390C

Divisor Catalog (6)

1 2 4 1,838,659 3,677,318 7,354,636

Collatz Trajectory (204 steps to reach 1)

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

7,354,636 3,677,318 1,838,659 5,515,978 2,757,989 8,273,968 4,136,984 2,068,492 1,034,246 517,123 1,551,370 775,685 2,327,056 1,163,528 581,764 290,882 145,441 436,324 218,162 109,081 327,244 163,622 81,811 245,434 122,717 368,152 184,076 92,038 46,019 138,058 69,029 207,088 103,544 51,772 25,886 12,943 38,830 19,415 58,246 29,123 87,370 43,685 131,056 65,528 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934

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