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Atlas › Integer Profiles › Node 10,064,450

10,064,450

2 × 52 × 11 × 29 × 631
Abundant Even Composite

10,064,450 factors as 2 × 5^2 × 11 × 29 × 631. Its 48 positive divisors give a proper-divisor sum of 11,094,910, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 29 × 631
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,159,360
Proper Divisor Sum 11,094,910
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #10064449 ← → #10064473

Radix Representation

Decimal 10064450
Binary 100110011001001001000010 (24 bits)
Octal 0o46311102
Hexadecimal 0x999242

Divisor Catalog (48)

1 2 5 10 11 22 25 29 50 55 58 110 145 275 290 319 550 631 638 725 1,262 1,450 1,595 3,155 3,190 6,310 6,941 7,975 13,882 15,775 15,950 18,299 31,550 34,705 36,598 69,410 91,495 173,525 182,990 201,289 347,050 402,578 457,475 914,950 1,006,445 2,012,890 5,032,225 10,064,450

Collatz Trajectory (158 steps to reach 1)

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

10,064,450 5,032,225 15,096,676 7,548,338 3,774,169 11,322,508 5,661,254 2,830,627 8,491,882 4,245,941 12,737,824 6,368,912 3,184,456 1,592,228 796,114 398,057 1,194,172 597,086 298,543 895,630 447,815 1,343,446 671,723 2,015,170 1,007,585 3,022,756 1,511,378 755,689 2,267,068 1,133,534 566,767 1,700,302 850,151 2,550,454 1,275,227 3,825,682 1,912,841 5,738,524 2,869,262 1,434,631 4,303,894 2,151,947 6,455,842 3,227,921 9,683,764 4,841,882 2,420,941 7,262,824 3,631,412 1,815,706 907,853 2,723,560 1,361,780 680,890 340,445 1,021,336 510,668 255,334 127,667 383,002

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