7,405,738

2 × 3702869

Starting at 7,405,738, the Collatz iteration reaches 1 after 173 steps. The first transition is 3702869; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3702869

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 11,108,610

Proper Divisor Sum 3,702,872

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7405733 ← → #7405757

Radix Representation

Decimal	7405738
Binary	11100010000000010101010 (23 bits)
Octal	0o34200252
Hexadecimal	0x7100AA

Divisor Catalog (4)

1 2 3,702,869 7,405,738

Collatz Trajectory (173 steps to reach 1)

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

7,405,738 3,702,869 11,108,608 5,554,304 2,777,152 1,388,576 694,288 347,144 173,572 86,786 43,393 130,180 65,090 32,545 97,636 48,818 24,409 73,228 36,614 18,307 54,922 27,461 82,384 41,192 20,596 10,298 5,149 15,448 7,724 3,862 1,931 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218

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