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Atlas › Integer Profiles › Node 40,868,928

40,868,928

26 × 33 × 67 × 353
Abundant Even Composite

40,868,928 factors as 2^6 × 3^3 × 67 × 353. Its 112 positive divisors give a proper-divisor sum of 81,416,832, so this integer is abundant. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 67 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 122,285,760
Proper Divisor Sum 81,416,832
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #40868903 ← → #40868929

Radix Representation

Decimal 40868928
Binary 10011011111001110001000000 (26 bits)
Octal 0o233716100
Hexadecimal 0x26F9C40

Divisor Catalog (60 of 112)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 134 144 192 201 216 268 288 353 402 432 536 576 603 706 804 864 1,059 1,072 1,206 1,412 1,608 1,728 1,809 2,118 2,144 2,412 2,824 3,177 3,216 3,618 4,236 4,288 4,824 5,648 6,354 6,432 7,236 8,472 9,531

Collatz Trajectory (54 steps to reach 1)

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

40,868,928 20,434,464 10,217,232 5,108,616 2,554,308 1,277,154 638,577 1,915,732 957,866 478,933 1,436,800 718,400 359,200 179,600 89,800 44,900 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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