λ
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Atlas › Integer Profiles › Node 8,352,124

8,352,124

22 × 11 × 83 × 2287
Deficient Even Composite

8,352,124 factors as 2^2 × 11 × 83 × 2287. Its 24 positive divisors give a proper-divisor sum of 7,792,004, so this integer is deficient. The Collatz stopping time is 305 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 83 × 2287
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,144,128
Proper Divisor Sum 7,792,004
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8352119 ← → #8352133

Radix Representation

Decimal 8352124
Binary 11111110111000101111100 (23 bits)
Octal 0o37670574
Hexadecimal 0x7F717C

Divisor Catalog (24)

1 2 4 11 22 44 83 166 332 913 1,826 2,287 3,652 4,574 9,148 25,157 50,314 100,628 189,821 379,642 759,284 2,088,031 4,176,062 8,352,124

Collatz Trajectory (305 steps to reach 1)

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

8,352,124 4,176,062 2,088,031 6,264,094 3,132,047 9,396,142 4,698,071 14,094,214 7,047,107 21,141,322 10,570,661 31,711,984 15,855,992 7,927,996 3,963,998 1,981,999 5,945,998 2,972,999 8,918,998 4,459,499 13,378,498 6,689,249 20,067,748 10,033,874 5,016,937 15,050,812 7,525,406 3,762,703 11,288,110 5,644,055 16,932,166 8,466,083 25,398,250 12,699,125 38,097,376 19,048,688 9,524,344 4,762,172 2,381,086 1,190,543 3,571,630 1,785,815 5,357,446 2,678,723 8,036,170 4,018,085 12,054,256 6,027,128 3,013,564 1,506,782 753,391 2,260,174 1,130,087 3,390,262 1,695,131 5,085,394 2,542,697 7,628,092 3,814,046 1,907,023

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