λ
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Atlas › Integer Profiles › Node 8,013,752

8,013,752

23 × 23 × 97 × 449
Deficient Even Composite

8,013,752 factors as 2^3 × 23 × 97 × 449. Its 32 positive divisors give a proper-divisor sum of 7,862,248, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 97 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,876,000
Proper Divisor Sum 7,862,248
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8013743 ← → #8013757

Radix Representation

Decimal 8013752
Binary 11110100100011110111000 (23 bits)
Octal 0o36443670
Hexadecimal 0x7A47B8

Divisor Catalog (32)

1 2 4 8 23 46 92 97 184 194 388 449 776 898 1,796 2,231 3,592 4,462 8,924 10,327 17,848 20,654 41,308 43,553 82,616 87,106 174,212 348,424 1,001,719 2,003,438 4,006,876 8,013,752

Collatz Trajectory (116 steps to reach 1)

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

8,013,752 4,006,876 2,003,438 1,001,719 3,005,158 1,502,579 4,507,738 2,253,869 6,761,608 3,380,804 1,690,402 845,201 2,535,604 1,267,802 633,901 1,901,704 950,852 475,426 237,713 713,140 356,570 178,285 534,856 267,428 133,714 66,857 200,572 100,286 50,143 150,430 75,215 225,646 112,823 338,470 169,235 507,706 253,853 761,560 380,780 190,390 95,195 285,586 142,793 428,380 214,190 107,095 321,286 160,643 481,930 240,965 722,896 361,448 180,724 90,362 45,181 135,544 67,772 33,886 16,943 50,830

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