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Atlas › Integer Profiles › Node 10,247,020

10,247,020

22 × 5 × 7 × 53 × 1381
Abundant Even Composite

10,247,020 factors as 2^2 × 5 × 7 × 53 × 1381. Its 48 positive divisors give a proper-divisor sum of 14,827,988, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 53 × 1381
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,075,008
Proper Divisor Sum 14,827,988
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #10247009 ← → #10247021

Radix Representation

Decimal 10247020
Binary 100111000101101101101100 (24 bits)
Octal 0o47055554
Hexadecimal 0x9C5B6C

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1,060 1,381 1,484 1,855 2,762 3,710 5,524 6,905 7,420 9,667 13,810 19,334 27,620 38,668 48,335 73,193 96,670 146,386 193,340 292,772 365,965 512,351 731,930 1,024,702 1,463,860 2,049,404 2,561,755 5,123,510 10,247,020

Collatz Trajectory (158 steps to reach 1)

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

10,247,020 5,123,510 2,561,755 7,685,266 3,842,633 11,527,900 5,763,950 2,881,975 8,645,926 4,322,963 12,968,890 6,484,445 19,453,336 9,726,668 4,863,334 2,431,667 7,295,002 3,647,501 10,942,504 5,471,252 2,735,626 1,367,813 4,103,440 2,051,720 1,025,860 512,930 256,465 769,396 384,698 192,349 577,048 288,524 144,262 72,131 216,394 108,197 324,592 162,296 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061 462,184 231,092 115,546 57,773 173,320 86,660 43,330 21,665 64,996

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