λ
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Atlas › Integer Profiles › Node 8,024,456

8,024,456

23 × 11 × 67 × 1361
Abundant Even Composite

8,024,456 factors as 2^3 × 11 × 67 × 1361. Its 32 positive divisors give a proper-divisor sum of 8,646,424, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 67 × 1361
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,670,880
Proper Divisor Sum 8,646,424
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8024453 ← → #8024509

Radix Representation

Decimal 8024456
Binary 11110100111000110001000 (23 bits)
Octal 0o36470610
Hexadecimal 0x7A7188

Divisor Catalog (32)

1 2 4 8 11 22 44 67 88 134 268 536 737 1,361 1,474 2,722 2,948 5,444 5,896 10,888 14,971 29,942 59,884 91,187 119,768 182,374 364,748 729,496 1,003,057 2,006,114 4,012,228 8,024,456

Collatz Trajectory (155 steps to reach 1)

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

8,024,456 4,012,228 2,006,114 1,003,057 3,009,172 1,504,586 752,293 2,256,880 1,128,440 564,220 282,110 141,055 423,166 211,583 634,750 317,375 952,126 476,063 1,428,190 714,095 2,142,286 1,071,143 3,213,430 1,606,715 4,820,146 2,410,073 7,230,220 3,615,110 1,807,555 5,422,666 2,711,333 8,134,000 4,067,000 2,033,500 1,016,750 508,375 1,525,126 762,563 2,287,690 1,143,845 3,431,536 1,715,768 857,884 428,942 214,471 643,414 321,707 965,122 482,561 1,447,684 723,842 361,921 1,085,764 542,882 271,441 814,324 407,162 203,581 610,744 305,372

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