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Atlas › Integer Profiles › Node 9,506,706

9,506,706

2 × 3 × 11 × 17 × 37 × 229
Abundant Even Composite

9,506,706 factors as 2 × 3 × 11 × 17 × 37 × 229. Its 64 positive divisors give a proper-divisor sum of 13,147,374, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 17 × 37 × 229
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,654,080
Proper Divisor Sum 13,147,374
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9506681 ← → #9506747

Radix Representation

Decimal 9506706
Binary 100100010000111110010010 (24 bits)
Octal 0o44207622
Hexadecimal 0x910F92

Divisor Catalog (60 of 64)

1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 187 222 229 374 407 458 561 629 687 814 1,122 1,221 1,258 1,374 1,887 2,442 2,519 3,774 3,893 5,038 6,919 7,557 7,786 8,473 11,679 13,838 15,114 16,946 20,757 23,358 25,419 41,514 42,823 50,838 85,646 93,203 128,469 144,041 186,406 256,938 279,609 288,082 432,123 559,218 864,246

Collatz Trajectory (150 steps to reach 1)

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

9,506,706 4,753,353 14,260,060 7,130,030 3,565,015 10,695,046 5,347,523 16,042,570 8,021,285 24,063,856 12,031,928 6,015,964 3,007,982 1,503,991 4,511,974 2,255,987 6,767,962 3,383,981 10,151,944 5,075,972 2,537,986 1,268,993 3,806,980 1,903,490 951,745 2,855,236 1,427,618 713,809 2,141,428 1,070,714 535,357 1,606,072 803,036 401,518 200,759 602,278 301,139 903,418 451,709 1,355,128 677,564 338,782 169,391 508,174 254,087 762,262 381,131 1,143,394 571,697 1,715,092 857,546 428,773 1,286,320 643,160 321,580 160,790 80,395 241,186 120,593 361,780

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