7,163,802

2 × 3⁴ × 44221

Starting at 7,163,802, the Collatz iteration reaches 1 after 98 steps. The first transition is 3581901; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 44221

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 16,052,586

Proper Divisor Sum 8,888,784

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7163797 ← → #7163803

Radix Representation

Decimal	7163802
Binary	11011010100111110011010 (23 bits)
Octal	0o33247632
Hexadecimal	0x6D4F9A

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 44,221 88,442 132,663 265,326 397,989 795,978 1,193,967 2,387,934 3,581,901 7,163,802

Collatz Trajectory (98 steps to reach 1)

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

7,163,802 3,581,901 10,745,704 5,372,852 2,686,426 1,343,213 4,029,640 2,014,820 1,007,410 503,705 1,511,116 755,558 377,779 1,133,338 566,669 1,700,008 850,004 425,002 212,501 637,504 318,752 159,376 79,688 39,844 19,922 9,961 29,884 14,942 7,471 22,414 11,207 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576

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