18,200,067

3 × 463 × 13103

18,200,067 factors as 3 × 463 × 13103. Its 8 positive divisors give a proper-divisor sum of 6,120,957, so this integer is deficient. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 3 × 463 × 13103

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 24,321,024

Proper Divisor Sum 6,120,957

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #18200059 ← → #18200087

Radix Representation

Decimal	18200067
Binary	1000101011011011000000011 (25 bits)
Octal	0o105333003
Hexadecimal	0x115B603

Divisor Catalog (8)

1 3 463 1,389 13,103 39,309 6,066,689 18,200,067

Collatz Trajectory (226 steps to reach 1)

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

18,200,067 54,600,202 27,300,101 81,900,304 40,950,152 20,475,076 10,237,538 5,118,769 15,356,308 7,678,154 3,839,077 11,517,232 5,758,616 2,879,308 1,439,654 719,827 2,159,482 1,079,741 3,239,224 1,619,612 809,806 404,903 1,214,710 607,355 1,822,066 911,033 2,733,100 1,366,550 683,275 2,049,826 1,024,913 3,074,740 1,537,370 768,685 2,306,056 1,153,028 576,514 288,257 864,772 432,386 216,193 648,580 324,290 162,145 486,436 243,218 121,609 364,828 182,414 91,207 273,622 136,811 410,434 205,217 615,652 307,826 153,913 461,740 230,870 115,435

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