λ
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Atlas › Integer Profiles › Node 61,323,522

61,323,522

2 × 3 × 13 × 17 × 103 × 449
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13 × 17 × 103 × 449
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 141,523,200
Proper Divisor Sum 80,199,678
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #61323517 ← → #61323523

Radix Representation

Decimal 61323522
Binary 11101001111011100100000010 (26 bits)
Octal 0o351734402
Hexadecimal 0x3A7B902

Divisor Catalog (60 of 64)

1 2 3 6 13 17 26 34 39 51 78 102 103 206 221 309 442 449 618 663 898 1,326 1,339 1,347 1,751 2,678 2,694 3,502 4,017 5,253 5,837 7,633 8,034 10,506 11,674 15,266 17,511 22,763 22,899 35,022 45,526 45,798 46,247 68,289 92,494 99,229 136,578 138,741 198,458 277,482 297,687 595,374 601,211 786,199 1,202,422 1,572,398 1,803,633 2,358,597 3,607,266 4,717,194

Collatz Trajectory (212 steps to reach 1)

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

61,323,522 30,661,761 91,985,284 45,992,642 22,996,321 68,988,964 34,494,482 17,247,241 51,741,724 25,870,862 12,935,431 38,806,294 19,403,147 58,209,442 29,104,721 87,314,164 43,657,082 21,828,541 65,485,624 32,742,812 16,371,406 8,185,703 24,557,110 12,278,555 36,835,666 18,417,833 55,253,500 27,626,750 13,813,375 41,440,126 20,720,063 62,160,190 31,080,095 93,240,286 46,620,143 139,860,430 69,930,215 209,790,646 104,895,323 314,685,970 157,342,985 472,028,956 236,014,478 118,007,239 354,021,718 177,010,859 531,032,578 265,516,289 796,548,868 398,274,434 199,137,217 597,411,652 298,705,826 149,352,913 448,058,740 224,029,370 112,014,685 336,044,056 168,022,028 84,011,014

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