λ
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Atlas › Integer Profiles › Node 10,248,068

10,248,068

22 × 192 × 47 × 151
Deficient Even Composite

10,248,068 factors as 2^2 × 19^2 × 47 × 151. Its 36 positive divisors give a proper-divisor sum of 9,210,364, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 19^2 × 47 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,458,432
Proper Divisor Sum 9,210,364
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #10248067 ← → #10248089

Radix Representation

Decimal 10248068
Binary 100111000101111110000100 (24 bits)
Octal 0o47057604
Hexadecimal 0x9C5F84

Divisor Catalog (36)

1 2 4 19 38 47 76 94 151 188 302 361 604 722 893 1,444 1,786 2,869 3,572 5,738 7,097 11,476 14,194 16,967 28,388 33,934 54,511 67,868 109,022 134,843 218,044 269,686 539,372 2,562,017 5,124,034 10,248,068

Collatz Trajectory (132 steps to reach 1)

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

10,248,068 5,124,034 2,562,017 7,686,052 3,843,026 1,921,513 5,764,540 2,882,270 1,441,135 4,323,406 2,161,703 6,485,110 3,242,555 9,727,666 4,863,833 14,591,500 7,295,750 3,647,875 10,943,626 5,471,813 16,415,440 8,207,720 4,103,860 2,051,930 1,025,965 3,077,896 1,538,948 769,474 384,737 1,154,212 577,106 288,553 865,660 432,830 216,415 649,246 324,623 973,870 486,935 1,460,806 730,403 2,191,210 1,095,605 3,286,816 1,643,408 821,704 410,852 205,426 102,713 308,140 154,070 77,035 231,106 115,553 346,660 173,330 86,665 259,996 129,998 64,999

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