7,390,806

2 × 3 × 257 × 4793

Starting at 7,390,806, the Collatz iteration reaches 1 after 160 steps. The first transition is 3695403; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 257 × 4793

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,842,224

Proper Divisor Sum 7,451,418

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7390777 ← → #7390813

Radix Representation

Decimal	7390806
Binary	11100001100011001010110 (23 bits)
Octal	0o34143126
Hexadecimal	0x70C656

Divisor Catalog (16)

1 2 3 6 257 514 771 1,542 4,793 9,586 14,379 28,758 1,231,801 2,463,602 3,695,403 7,390,806

Collatz Trajectory (160 steps to reach 1)

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

7,390,806 3,695,403 11,086,210 5,543,105 16,629,316 8,314,658 4,157,329 12,471,988 6,235,994 3,117,997 9,353,992 4,676,996 2,338,498 1,169,249 3,507,748 1,753,874 876,937 2,630,812 1,315,406 657,703 1,973,110 986,555 2,959,666 1,479,833 4,439,500 2,219,750 1,109,875 3,329,626 1,664,813 4,994,440 2,497,220 1,248,610 624,305 1,872,916 936,458 468,229 1,404,688 702,344 351,172 175,586 87,793 263,380 131,690 65,845 197,536 98,768 49,384 24,692 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816

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