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Atlas › Integer Profiles › Node 40,270,804

40,270,804

22 × 7 × 19 × 59 × 1283
Abundant Even Composite

40,270,804 factors as 2^2 × 7 × 19 × 59 × 1283. Its 48 positive divisors give a proper-divisor sum of 46,013,996, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 59 × 1283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 86,284,800
Proper Divisor Sum 46,013,996
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #40270793 ← → #40270817

Radix Representation

Decimal 40270804
Binary 10011001100111101111010100 (26 bits)
Octal 0o231475724
Hexadecimal 0x2667BD4

Divisor Catalog (48)

1 2 4 7 14 19 28 38 59 76 118 133 236 266 413 532 826 1,121 1,283 1,652 2,242 2,566 4,484 5,132 7,847 8,981 15,694 17,962 24,377 31,388 35,924 48,754 75,697 97,508 151,394 170,639 302,788 341,278 529,879 682,556 1,059,758 1,438,243 2,119,516 2,876,486 5,752,972 10,067,701 20,135,402 40,270,804

Collatz Trajectory (160 steps to reach 1)

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

40,270,804 20,135,402 10,067,701 30,203,104 15,101,552 7,550,776 3,775,388 1,887,694 943,847 2,831,542 1,415,771 4,247,314 2,123,657 6,370,972 3,185,486 1,592,743 4,778,230 2,389,115 7,167,346 3,583,673 10,751,020 5,375,510 2,687,755 8,063,266 4,031,633 12,094,900 6,047,450 3,023,725 9,071,176 4,535,588 2,267,794 1,133,897 3,401,692 1,700,846 850,423 2,551,270 1,275,635 3,826,906 1,913,453 5,740,360 2,870,180 1,435,090 717,545 2,152,636 1,076,318 538,159 1,614,478 807,239 2,421,718 1,210,859 3,632,578 1,816,289 5,448,868 2,724,434 1,362,217 4,086,652 2,043,326 1,021,663 3,064,990 1,532,495

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