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Atlas › Integer Profiles › Node 9,506,145

9,506,145

3 × 5 × 11 × 17 × 3389
Deficient Odd Composite

9,506,145 factors as 3 × 5 × 11 × 17 × 3389. Its 32 positive divisors give a proper-divisor sum of 8,067,615, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 17 × 3389
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,573,760
Proper Divisor Sum 8,067,615
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9506131 ← → #9506207

Radix Representation

Decimal 9506145
Binary 100100010000110101100001 (24 bits)
Octal 0o44206541
Hexadecimal 0x910D61

Divisor Catalog (32)

1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2,805 3,389 10,167 16,945 37,279 50,835 57,613 111,837 172,839 186,395 288,065 559,185 633,743 864,195 1,901,229 3,168,715 9,506,145

Collatz Trajectory (150 steps to reach 1)

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

9,506,145 28,518,436 14,259,218 7,129,609 21,388,828 10,694,414 5,347,207 16,041,622 8,020,811 24,062,434 12,031,217 36,093,652 18,046,826 9,023,413 27,070,240 13,535,120 6,767,560 3,383,780 1,691,890 845,945 2,537,836 1,268,918 634,459 1,903,378 951,689 2,855,068 1,427,534 713,767 2,141,302 1,070,651 3,211,954 1,605,977 4,817,932 2,408,966 1,204,483 3,613,450 1,806,725 5,420,176 2,710,088 1,355,044 677,522 338,761 1,016,284 508,142 254,071 762,214 381,107 1,143,322 571,661 1,714,984 857,492 428,746 214,373 643,120 321,560 160,780 80,390 40,195 120,586 60,293

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