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Atlas › Integer Profiles › Node 40,935,856

40,935,856

24 × 132 × 15139
Abundant Even Composite

40,935,856 factors as 2^4 × 13^2 × 15139. Its 30 positive divisors give a proper-divisor sum of 44,953,364, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^4 × 13^2 × 15139
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 85,889,220
Proper Divisor Sum 44,953,364
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #40935833 ← → #40935857

Radix Representation

Decimal 40935856
Binary 10011100001010000110110000 (26 bits)
Octal 0o234120660
Hexadecimal 0x270A1B0

Divisor Catalog (30)

1 2 4 8 13 16 26 52 104 169 208 338 676 1,352 2,704 15,139 30,278 60,556 121,112 196,807 242,224 393,614 787,228 1,574,456 2,558,491 3,148,912 5,116,982 10,233,964 20,467,928 40,935,856

Collatz Trajectory (209 steps to reach 1)

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

40,935,856 20,467,928 10,233,964 5,116,982 2,558,491 7,675,474 3,837,737 11,513,212 5,756,606 2,878,303 8,634,910 4,317,455 12,952,366 6,476,183 19,428,550 9,714,275 29,142,826 14,571,413 43,714,240 21,857,120 10,928,560 5,464,280 2,732,140 1,366,070 683,035 2,049,106 1,024,553 3,073,660 1,536,830 768,415 2,305,246 1,152,623 3,457,870 1,728,935 5,186,806 2,593,403 7,780,210 3,890,105 11,670,316 5,835,158 2,917,579 8,752,738 4,376,369 13,129,108 6,564,554 3,282,277 9,846,832 4,923,416 2,461,708 1,230,854 615,427 1,846,282 923,141 2,769,424 1,384,712 692,356 346,178 173,089 519,268 259,634

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