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Atlas › Integer Profiles › Node 42,770,412

42,770,412

22 × 32 × 233 × 5099
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 233 × 5099
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 108,599,400
Proper Divisor Sum 65,828,988
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #42770407 ← → #42770437

Radix Representation

Decimal 42770412
Binary 10100011001001111111101100 (26 bits)
Octal 0o243117754
Hexadecimal 0x28C9FEC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 233 466 699 932 1,398 2,097 2,796 4,194 5,099 8,388 10,198 15,297 20,396 30,594 45,891 61,188 91,782 183,564 1,188,067 2,376,134 3,564,201 4,752,268 7,128,402 10,692,603 14,256,804 21,385,206 42,770,412

Collatz Trajectory (178 steps to reach 1)

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

42,770,412 21,385,206 10,692,603 32,077,810 16,038,905 48,116,716 24,058,358 12,029,179 36,087,538 18,043,769 54,131,308 27,065,654 13,532,827 40,598,482 20,299,241 60,897,724 30,448,862 15,224,431 45,673,294 22,836,647 68,509,942 34,254,971 102,764,914 51,382,457 154,147,372 77,073,686 38,536,843 115,610,530 57,805,265 173,415,796 86,707,898 43,353,949 130,061,848 65,030,924 32,515,462 16,257,731 48,773,194 24,386,597 73,159,792 36,579,896 18,289,948 9,144,974 4,572,487 13,717,462 6,858,731 20,576,194 10,288,097 30,864,292 15,432,146 7,716,073 23,148,220 11,574,110 5,787,055 17,361,166 8,680,583 26,041,750 13,020,875 39,062,626 19,531,313 58,593,940

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