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Atlas › Integer Profiles › Node 6,335,620

6,335,620

22 × 5 × 43 × 53 × 139
Abundant Even Composite

6,335,620 factors as 2^2 × 5 × 43 × 53 × 139. Its 48 positive divisors give a proper-divisor sum of 7,635,260, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 53 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,970,880
Proper Divisor Sum 7,635,260
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6335617 ← → #6335627

Radix Representation

Decimal 6335620
Binary 11000001010110010000100 (23 bits)
Octal 0o30126204
Hexadecimal 0x60AC84

Divisor Catalog (48)

1 2 4 5 10 20 43 53 86 106 139 172 212 215 265 278 430 530 556 695 860 1,060 1,390 2,279 2,780 4,558 5,977 7,367 9,116 11,395 11,954 14,734 22,790 23,908 29,468 29,885 36,835 45,580 59,770 73,670 119,540 147,340 316,781 633,562 1,267,124 1,583,905 3,167,810 6,335,620

Collatz Trajectory (103 steps to reach 1)

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

6,335,620 3,167,810 1,583,905 4,751,716 2,375,858 1,187,929 3,563,788 1,781,894 890,947 2,672,842 1,336,421 4,009,264 2,004,632 1,002,316 501,158 250,579 751,738 375,869 1,127,608 563,804 281,902 140,951 422,854 211,427 634,282 317,141 951,424 475,712 237,856 118,928 59,464 29,732 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117

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