10,103,418

2 × 3² × 13 × 43177

10,103,418 factors as 2 × 3^2 × 13 × 43177. Its 24 positive divisors give a proper-divisor sum of 13,471,770, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 43177

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,575,188

Proper Divisor Sum 13,471,770

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #10103413 ← → #10103437

Radix Representation

Decimal	10103418
Binary	100110100010101001111010 (24 bits)
Octal	0o46425172
Hexadecimal	0x9A2A7A

Divisor Catalog (24)

Collatz Trajectory (176 steps to reach 1)

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

10,103,418 5,051,709 15,155,128 7,577,564 3,788,782 1,894,391 5,683,174 2,841,587 8,524,762 4,262,381 12,787,144 6,393,572 3,196,786 1,598,393 4,795,180 2,397,590 1,198,795 3,596,386 1,798,193 5,394,580 2,697,290 1,348,645 4,045,936 2,022,968 1,011,484 505,742 252,871 758,614 379,307 1,137,922 568,961 1,706,884 853,442 426,721 1,280,164 640,082 320,041 960,124 480,062 240,031 720,094 360,047 1,080,142 540,071 1,620,214 810,107 2,430,322 1,215,161 3,645,484 1,822,742 911,371 2,734,114 1,367,057 4,101,172 2,050,586 1,025,293 3,075,880 1,537,940 768,970 384,485

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