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Atlas › Integer Profiles › Node 40,918,652

40,918,652

22 × 29 × 173 × 2039
Deficient Even Composite

40,918,652 factors as 2^2 × 29 × 173 × 2039. Its 24 positive divisors give a proper-divisor sum of 33,622,948, so this integer is deficient. The Collatz stopping time is 328 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 173 × 2039
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 74,541,600
Proper Divisor Sum 33,622,948
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #40918639 ← → #40918663

Radix Representation

Decimal 40918652
Binary 10011100000101111001111100 (26 bits)
Octal 0o234057174
Hexadecimal 0x2705E7C

Divisor Catalog (24)

1 2 4 29 58 116 173 346 692 2,039 4,078 5,017 8,156 10,034 20,068 59,131 118,262 236,524 352,747 705,494 1,410,988 10,229,663 20,459,326 40,918,652

Collatz Trajectory (328 steps to reach 1)

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

40,918,652 20,459,326 10,229,663 30,688,990 15,344,495 46,033,486 23,016,743 69,050,230 34,525,115 103,575,346 51,787,673 155,363,020 77,681,510 38,840,755 116,522,266 58,261,133 174,783,400 87,391,700 43,695,850 21,847,925 65,543,776 32,771,888 16,385,944 8,192,972 4,096,486 2,048,243 6,144,730 3,072,365 9,217,096 4,608,548 2,304,274 1,152,137 3,456,412 1,728,206 864,103 2,592,310 1,296,155 3,888,466 1,944,233 5,832,700 2,916,350 1,458,175 4,374,526 2,187,263 6,561,790 3,280,895 9,842,686 4,921,343 14,764,030 7,382,015 22,146,046 11,073,023 33,219,070 16,609,535 49,828,606 24,914,303 74,742,910 37,371,455 112,114,366 56,057,183

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