λ
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Atlas › Integer Profiles › Node 6,493,774

6,493,774

2 × 72 × 23 × 43 × 67
Deficient Even Composite

6,493,774 factors as 2 × 7^2 × 23 × 43 × 67. Its 48 positive divisors give a proper-divisor sum of 5,785,394, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 23 × 43 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,279,168
Proper Divisor Sum 5,785,394
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6493769 ← → #6493793

Radix Representation

Decimal 6493774
Binary 11000110001011001001110 (23 bits)
Octal 0o30613116
Hexadecimal 0x63164E

Divisor Catalog (48)

1 2 7 14 23 43 46 49 67 86 98 134 161 301 322 469 602 938 989 1,127 1,541 1,978 2,107 2,254 2,881 3,082 3,283 4,214 5,762 6,566 6,923 10,787 13,846 20,167 21,574 40,334 48,461 66,263 75,509 96,922 132,526 141,169 151,018 282,338 463,841 927,682 3,246,887 6,493,774

Collatz Trajectory (178 steps to reach 1)

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

6,493,774 3,246,887 9,740,662 4,870,331 14,610,994 7,305,497 21,916,492 10,958,246 5,479,123 16,437,370 8,218,685 24,656,056 12,328,028 6,164,014 3,082,007 9,246,022 4,623,011 13,869,034 6,934,517 20,803,552 10,401,776 5,200,888 2,600,444 1,300,222 650,111 1,950,334 975,167 2,925,502 1,462,751 4,388,254 2,194,127 6,582,382 3,291,191 9,873,574 4,936,787 14,810,362 7,405,181 22,215,544 11,107,772 5,553,886 2,776,943 8,330,830 4,165,415 12,496,246 6,248,123 18,744,370 9,372,185 28,116,556 14,058,278 7,029,139 21,087,418 10,543,709 31,631,128 15,815,564 7,907,782 3,953,891 11,861,674 5,930,837 17,792,512 8,896,256

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