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Atlas › Integer Profiles › Node 40,530,784

40,530,784

25 × 7 × 23 × 7867
Abundant Even Composite

40,530,784 factors as 2^5 × 7 × 23 × 7867. Its 48 positive divisors give a proper-divisor sum of 54,640,544, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 23 × 7867
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 95,171,328
Proper Divisor Sum 54,640,544
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40530767 ← → #40530793

Radix Representation

Decimal 40530784
Binary 10011010100111001101100000 (26 bits)
Octal 0o232471540
Hexadecimal 0x26A7360

Divisor Catalog (48)

1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1,288 2,576 5,152 7,867 15,734 31,468 55,069 62,936 110,138 125,872 180,941 220,276 251,744 361,882 440,552 723,764 881,104 1,266,587 1,447,528 1,762,208 2,533,174 2,895,056 5,066,348 5,790,112 10,132,696 20,265,392 40,530,784

Collatz Trajectory (147 steps to reach 1)

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

40,530,784 20,265,392 10,132,696 5,066,348 2,533,174 1,266,587 3,799,762 1,899,881 5,699,644 2,849,822 1,424,911 4,274,734 2,137,367 6,412,102 3,206,051 9,618,154 4,809,077 14,427,232 7,213,616 3,606,808 1,803,404 901,702 450,851 1,352,554 676,277 2,028,832 1,014,416 507,208 253,604 126,802 63,401 190,204 95,102 47,551 142,654 71,327 213,982 106,991 320,974 160,487 481,462 240,731 722,194 361,097 1,083,292 541,646 270,823 812,470 406,235 1,218,706 609,353 1,828,060 914,030 457,015 1,371,046 685,523 2,056,570 1,028,285 3,084,856 1,542,428

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