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Atlas › Integer Profiles › Node 40,836,392

40,836,392

23 × 113 × 199 × 227
Deficient Even Composite

40,836,392 factors as 2^3 × 113 × 199 × 227. Its 32 positive divisors give a proper-divisor sum of 37,139,608, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 113 × 199 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 77,976,000
Proper Divisor Sum 37,139,608
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #40836371 ← → #40836407

Radix Representation

Decimal 40836392
Binary 10011011110001110100101000 (26 bits)
Octal 0o233616450
Hexadecimal 0x26F1D28

Divisor Catalog (32)

1 2 4 8 113 199 226 227 398 452 454 796 904 908 1,592 1,816 22,487 25,651 44,974 45,173 51,302 89,948 90,346 102,604 179,896 180,692 205,208 361,384 5,104,549 10,209,098 20,418,196 40,836,392

Collatz Trajectory (85 steps to reach 1)

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

40,836,392 20,418,196 10,209,098 5,104,549 15,313,648 7,656,824 3,828,412 1,914,206 957,103 2,871,310 1,435,655 4,306,966 2,153,483 6,460,450 3,230,225 9,690,676 4,845,338 2,422,669 7,268,008 3,634,004 1,817,002 908,501 2,725,504 1,362,752 681,376 340,688 170,344 85,172 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202

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