7,334,416

2⁴ × 458401

Starting at 7,334,416, the Collatz iteration reaches 1 after 142 steps. The first transition is 3667208; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 458401

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 14,210,462

Proper Divisor Sum 6,876,046

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7334413 ← → #7334417

Radix Representation

Decimal	7334416
Binary	11011111110101000010000 (23 bits)
Octal	0o33765020
Hexadecimal	0x6FEA10

Divisor Catalog (10)

1 2 4 8 16 458,401 916,802 1,833,604 3,667,208 7,334,416

Collatz Trajectory (142 steps to reach 1)

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

7,334,416 3,667,208 1,833,604 916,802 458,401 1,375,204 687,602 343,801 1,031,404 515,702 257,851 773,554 386,777 1,160,332 580,166 290,083 870,250 435,125 1,305,376 652,688 326,344 163,172 81,586 40,793 122,380 61,190 30,595 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546

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