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Atlas › Integer Profiles › Node 67,775,799

67,775,799

3 × 7 × 13 × 409 × 607
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13 × 409 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 111,677,440
Proper Divisor Sum 43,901,641
Digit Sum / Digital Root 57 (Root: 3)
Adjacent Primes #67775791 ← → #67775803

Radix Representation

Decimal 67775799
Binary 100000010100010110100110111 (27 bits)
Octal 0o402426467
Hexadecimal 0x40A2D37

Divisor Catalog (32)

1 3 7 13 21 39 91 273 409 607 1,227 1,821 2,863 4,249 5,317 7,891 8,589 12,747 15,951 23,673 37,219 55,237 111,657 165,711 248,263 744,789 1,737,841 3,227,419 5,213,523 9,682,257 22,591,933 67,775,799

Collatz Trajectory (158 steps to reach 1)

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

67,775,799 203,327,398 101,663,699 304,991,098 152,495,549 457,486,648 228,743,324 114,371,662 57,185,831 171,557,494 85,778,747 257,336,242 128,668,121 386,004,364 193,002,182 96,501,091 289,503,274 144,751,637 434,254,912 217,127,456 108,563,728 54,281,864 27,140,932 13,570,466 6,785,233 20,355,700 10,177,850 5,088,925 15,266,776 7,633,388 3,816,694 1,908,347 5,725,042 2,862,521 8,587,564 4,293,782 2,146,891 6,440,674 3,220,337 9,661,012 4,830,506 2,415,253 7,245,760 3,622,880 1,811,440 905,720 452,860 226,430 113,215 339,646 169,823 509,470 254,735 764,206 382,103 1,146,310 573,155 1,719,466 859,733 2,579,200

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