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Atlas › Integer Profiles › Node 10,074,591

10,074,591

33 × 17 × 47 × 467
Deficient Odd Composite

10,074,591 factors as 3^3 × 17 × 47 × 467. Its 32 positive divisors give a proper-divisor sum of 6,099,489, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 3^3 × 17 × 47 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,174,080
Proper Divisor Sum 6,099,489
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10074553 ← → #10074601

Radix Representation

Decimal 10074591
Binary 100110011011100111011111 (24 bits)
Octal 0o46334737
Hexadecimal 0x99B9DF

Divisor Catalog (32)

1 3 9 17 27 47 51 141 153 423 459 467 799 1,269 1,401 2,397 4,203 7,191 7,939 12,609 21,573 21,949 23,817 65,847 71,451 197,541 214,353 373,133 592,623 1,119,399 3,358,197 10,074,591

Collatz Trajectory (251 steps to reach 1)

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

10,074,591 30,223,774 15,111,887 45,335,662 22,667,831 68,003,494 34,001,747 102,005,242 51,002,621 153,007,864 76,503,932 38,251,966 19,125,983 57,377,950 28,688,975 86,066,926 43,033,463 129,100,390 64,550,195 193,650,586 96,825,293 290,475,880 145,237,940 72,618,970 36,309,485 108,928,456 54,464,228 27,232,114 13,616,057 40,848,172 20,424,086 10,212,043 30,636,130 15,318,065 45,954,196 22,977,098 11,488,549 34,465,648 17,232,824 8,616,412 4,308,206 2,154,103 6,462,310 3,231,155 9,693,466 4,846,733 14,540,200 7,270,100 3,635,050 1,817,525 5,452,576 2,726,288 1,363,144 681,572 340,786 170,393 511,180 255,590 127,795 383,386

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