7,273,636

2² × 1818409

Starting at 7,273,636, the Collatz iteration reaches 1 after 111 steps. The first transition is 3636818; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1818409

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 12,728,870

Proper Divisor Sum 5,455,234

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7273633 ← → #7273639

Radix Representation

Decimal	7273636
Binary	11011101111110010100100 (23 bits)
Octal	0o33576244
Hexadecimal	0x6EFCA4

Divisor Catalog (6)

1 2 4 1,818,409 3,636,818 7,273,636

Collatz Trajectory (111 steps to reach 1)

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

7,273,636 3,636,818 1,818,409 5,455,228 2,727,614 1,363,807 4,091,422 2,045,711 6,137,134 3,068,567 9,205,702 4,602,851 13,808,554 6,904,277 20,712,832 10,356,416 5,178,208 2,589,104 1,294,552 647,276 323,638 161,819 485,458 242,729 728,188 364,094 182,047 546,142 273,071 819,214 409,607 1,228,822 614,411 1,843,234 921,617 2,764,852 1,382,426 691,213 2,073,640 1,036,820 518,410 259,205 777,616 388,808 194,404 97,202 48,601 145,804 72,902 36,451 109,354 54,677 164,032 82,016 41,008 20,504 10,252 5,126 2,563 7,690

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