11,628,525

3 × 5² × 155047

11,628,525 factors as 3 × 5^2 × 155047. Its 12 positive divisors give a proper-divisor sum of 7,597,427, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 155047

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,225,952

Proper Divisor Sum 7,597,427

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #11628523 ← → #11628557

Radix Representation

Decimal	11628525
Binary	101100010110111111101101 (24 bits)
Octal	0o54267755
Hexadecimal	0xB16FED

Divisor Catalog (12)

1 3 5 15 25 75 155,047 465,141 775,235 2,325,705 3,876,175 11,628,525

Collatz Trajectory (109 steps to reach 1)

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

11,628,525 34,885,576 17,442,788 8,721,394 4,360,697 13,082,092 6,541,046 3,270,523 9,811,570 4,905,785 14,717,356 7,358,678 3,679,339 11,038,018 5,519,009 16,557,028 8,278,514 4,139,257 12,417,772 6,208,886 3,104,443 9,313,330 4,656,665 13,969,996 6,984,998 3,492,499 10,477,498 5,238,749 15,716,248 7,858,124 3,929,062 1,964,531 5,893,594 2,946,797 8,840,392 4,420,196 2,210,098 1,105,049 3,315,148 1,657,574 828,787 2,486,362 1,243,181 3,729,544 1,864,772 932,386 466,193 1,398,580 699,290 349,645 1,048,936 524,468 262,234 131,117 393,352 196,676 98,338 49,169 147,508 73,754

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