λ
Sigma Notebook

9,800,254

2 × 232 × 59 × 157
Deficient Even Composite

9,800,254 is even and not a perfect square. Its factorization is 2 × 23^2 × 59 × 157 and its 24 divisors sum to 15,727,320.

Prime Factor Structure

Factorization String 2 × 23^2 × 59 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,727,320
Proper Divisor Sum 5,927,066
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9800251 ← → #9800261

Radix Representation

Decimal 9800254
Binary 100101011000101000111110 (24 bits)
Octal 0o45305076
Hexadecimal 0x958A3E

Divisor Catalog (24)

1 2 23 46 59 118 157 314 529 1,058 1,357 2,714 3,611 7,222 9,263 18,526 31,211 62,422 83,053 166,106 213,049 426,098 4,900,127 9,800,254

Collatz Trajectory (119 steps to reach 1)

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

9,800,254 4,900,127 14,700,382 7,350,191 22,050,574 11,025,287 33,075,862 16,537,931 49,613,794 24,806,897 74,420,692 37,210,346 18,605,173 55,815,520 27,907,760 13,953,880 6,976,940 3,488,470 1,744,235 5,232,706 2,616,353 7,849,060 3,924,530 1,962,265 5,886,796 2,943,398 1,471,699 4,415,098 2,207,549 6,622,648 3,311,324 1,655,662 827,831 2,483,494 1,241,747 3,725,242 1,862,621 5,587,864 2,793,932 1,396,966 698,483 2,095,450 1,047,725 3,143,176 1,571,588 785,794 392,897 1,178,692 589,346 294,673 884,020 442,010 221,005 663,016 331,508 165,754 82,877 248,632 124,316 62,158

More profiles

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