λ
Sigma Notebook

9,102,387

3 × 72 × 19 × 3259
Deficient Odd Composite

9,102,387 is odd and not a perfect square. Its factorization is 3 × 7^2 × 19 × 3259 and its 24 divisors sum to 14,865,600.

Prime Factor Structure

Factorization String 3 × 7^2 × 19 × 3259
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,865,600
Proper Divisor Sum 5,763,213
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9102377 ← → #9102397

Radix Representation

Decimal 9102387
Binary 100010101110010000110011 (24 bits)
Octal 0o42562063
Hexadecimal 0x8AE433

Divisor Catalog (24)

1 3 7 19 21 49 57 133 147 399 931 2,793 3,259 9,777 22,813 61,921 68,439 159,691 185,763 433,447 479,073 1,300,341 3,034,129 9,102,387

Collatz Trajectory (80 steps to reach 1)

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

9,102,387 27,307,162 13,653,581 40,960,744 20,480,372 10,240,186 5,120,093 15,360,280 7,680,140 3,840,070 1,920,035 5,760,106 2,880,053 8,640,160 4,320,080 2,160,040 1,080,020 540,010 270,005 810,016 405,008 202,504 101,252 50,626 25,313 75,940 37,970 18,985 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604

More profiles

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