9,259,041

3 × 11² × 23 × 1109

For 9,259,041, the 24 positive divisors have a total of 14,172,480. Removing 9,259,041 leaves 4,913,439, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11^2 × 23 × 1109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,172,480

Proper Divisor Sum 4,913,439

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9259027 ← → #9259051

Radix Representation

Decimal	9259041
Binary	100011010100100000100001 (24 bits)
Octal	0o43244041
Hexadecimal	0x8D4821

Divisor Catalog (24)

1 3 11 23 33 69 121 253 363 759 1,109 2,783 3,327 8,349 12,199 25,507 36,597 76,521 134,189 280,577 402,567 841,731 3,086,347 9,259,041

Collatz Trajectory (225 steps to reach 1)

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

9,259,041 27,777,124 13,888,562 6,944,281 20,832,844 10,416,422 5,208,211 15,624,634 7,812,317 23,436,952 11,718,476 5,859,238 2,929,619 8,788,858 4,394,429 13,183,288 6,591,644 3,295,822 1,647,911 4,943,734 2,471,867 7,415,602 3,707,801 11,123,404 5,561,702 2,780,851 8,342,554 4,171,277 12,513,832 6,256,916 3,128,458 1,564,229 4,692,688 2,346,344 1,173,172 586,586 293,293 879,880 439,940 219,970 109,985 329,956 164,978 82,489 247,468 123,734 61,867 185,602 92,801 278,404 139,202 69,601 208,804 104,402 52,201 156,604 78,302 39,151 117,454 58,727

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