λ
Sigma Notebook

9,506,398

2 × 11 × 31 × 53 × 263
Deficient Even Composite

9,506,398 is even and not a perfect square. Its factorization is 2 × 11 × 31 × 53 × 263 and its 32 divisors sum to 16,422,912.

Prime Factor Structure

Factorization String 2 × 11 × 31 × 53 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,422,912
Proper Divisor Sum 6,916,514
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9506389 ← → #9506437

Radix Representation

Decimal 9506398
Binary 100100010000111001011110 (24 bits)
Octal 0o44207136
Hexadecimal 0x910E5E

Divisor Catalog (32)

1 2 11 22 31 53 62 106 263 341 526 583 682 1,166 1,643 2,893 3,286 5,786 8,153 13,939 16,306 18,073 27,878 36,146 89,683 153,329 179,366 306,658 432,109 864,218 4,753,199 9,506,398

Collatz Trajectory (124 steps to reach 1)

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

9,506,398 4,753,199 14,259,598 7,129,799 21,389,398 10,694,699 32,084,098 16,042,049 48,126,148 24,063,074 12,031,537 36,094,612 18,047,306 9,023,653 27,070,960 13,535,480 6,767,740 3,383,870 1,691,935 5,075,806 2,537,903 7,613,710 3,806,855 11,420,566 5,710,283 17,130,850 8,565,425 25,696,276 12,848,138 6,424,069 19,272,208 9,636,104 4,818,052 2,409,026 1,204,513 3,613,540 1,806,770 903,385 2,710,156 1,355,078 677,539 2,032,618 1,016,309 3,048,928 1,524,464 762,232 381,116 190,558 95,279 285,838 142,919 428,758 214,379 643,138 321,569 964,708 482,354 241,177 723,532 361,766

More profiles

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