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Atlas › Integer Profiles › Node 4,636,030

4,636,030

2 × 5 × 7 × 103 × 643
Abundant Even Composite

4,636,030 factors as 2 × 5 × 7 × 103 × 643. Its 32 positive divisors give a proper-divisor sum of 5,008,514, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 103 × 643
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,644,544
Proper Divisor Sum 5,008,514
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4636013 ← → #4636031

Radix Representation

Decimal 4636030
Binary 10001101011110101111110 (23 bits)
Octal 0o21536576
Hexadecimal 0x46BD7E

Divisor Catalog (32)

1 2 5 7 10 14 35 70 103 206 515 643 721 1,030 1,286 1,442 3,215 3,605 4,501 6,430 7,210 9,002 22,505 45,010 66,229 132,458 331,145 463,603 662,290 927,206 2,318,015 4,636,030

Collatz Trajectory (105 steps to reach 1)

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

4,636,030 2,318,015 6,954,046 3,477,023 10,431,070 5,215,535 15,646,606 7,823,303 23,469,910 11,734,955 35,204,866 17,602,433 52,807,300 26,403,650 13,201,825 39,605,476 19,802,738 9,901,369 29,704,108 14,852,054 7,426,027 22,278,082 11,139,041 33,417,124 16,708,562 8,354,281 25,062,844 12,531,422 6,265,711 18,797,134 9,398,567 28,195,702 14,097,851 42,293,554 21,146,777 63,440,332 31,720,166 15,860,083 47,580,250 23,790,125 71,370,376 35,685,188 17,842,594 8,921,297 26,763,892 13,381,946 6,690,973 20,072,920 10,036,460 5,018,230 2,509,115 7,527,346 3,763,673 11,291,020 5,645,510 2,822,755 8,468,266 4,234,133 12,702,400 6,351,200

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