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Atlas › Integer Profiles › Node 19,474,756

19,474,756

22 × 72 × 67 × 1483
Abundant Even Composite

19,474,756 factors as 2^2 × 7^2 × 67 × 1483. Its 36 positive divisors give a proper-divisor sum of 20,789,132, so this integer is abundant. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 67 × 1483
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 40,263,888
Proper Divisor Sum 20,789,132
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #19474739 ← → #19474757

Radix Representation

Decimal 19474756
Binary 1001010010010100101000100 (25 bits)
Octal 0o112224504
Hexadecimal 0x1292944

Divisor Catalog (36)

1 2 4 7 14 28 49 67 98 134 196 268 469 938 1,483 1,876 2,966 3,283 5,932 6,566 10,381 13,132 20,762 41,524 72,667 99,361 145,334 198,722 290,668 397,444 695,527 1,391,054 2,782,108 4,868,689 9,737,378 19,474,756

Collatz Trajectory (239 steps to reach 1)

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

19,474,756 9,737,378 4,868,689 14,606,068 7,303,034 3,651,517 10,954,552 5,477,276 2,738,638 1,369,319 4,107,958 2,053,979 6,161,938 3,080,969 9,242,908 4,621,454 2,310,727 6,932,182 3,466,091 10,398,274 5,199,137 15,597,412 7,798,706 3,899,353 11,698,060 5,849,030 2,924,515 8,773,546 4,386,773 13,160,320 6,580,160 3,290,080 1,645,040 822,520 411,260 205,630 102,815 308,446 154,223 462,670 231,335 694,006 347,003 1,041,010 520,505 1,561,516 780,758 390,379 1,171,138 585,569 1,756,708 878,354 439,177 1,317,532 658,766 329,383 988,150 494,075 1,482,226 741,113

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