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Atlas › Integer Profiles › Node 61,365,766

61,365,766

2 × 7 × 11 × 41 × 9719
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 41 × 9719
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 117,573,120
Proper Divisor Sum 56,207,354
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #61365757 ← → #61365779

Radix Representation

Decimal 61365766
Binary 11101010000101111000000110 (26 bits)
Octal 0o352057006
Hexadecimal 0x3A85E06

Divisor Catalog (32)

1 2 7 11 14 22 41 77 82 154 287 451 574 902 3,157 6,314 9,719 19,438 68,033 106,909 136,066 213,818 398,479 748,363 796,958 1,496,726 2,789,353 4,383,269 5,578,706 8,766,538 30,682,883 61,365,766

Collatz Trajectory (282 steps to reach 1)

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

61,365,766 30,682,883 92,048,650 46,024,325 138,072,976 69,036,488 34,518,244 17,259,122 8,629,561 25,888,684 12,944,342 6,472,171 19,416,514 9,708,257 29,124,772 14,562,386 7,281,193 21,843,580 10,921,790 5,460,895 16,382,686 8,191,343 24,574,030 12,287,015 36,861,046 18,430,523 55,291,570 27,645,785 82,937,356 41,468,678 20,734,339 62,203,018 31,101,509 93,304,528 46,652,264 23,326,132 11,663,066 5,831,533 17,494,600 8,747,300 4,373,650 2,186,825 6,560,476 3,280,238 1,640,119 4,920,358 2,460,179 7,380,538 3,690,269 11,070,808 5,535,404 2,767,702 1,383,851 4,151,554 2,075,777 6,227,332 3,113,666 1,556,833 4,670,500 2,335,250

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