λ
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Atlas › Integer Profiles › Node 8,046,752

8,046,752

25 × 7 × 35923
Abundant Even Composite

8,046,752 factors as 2^5 × 7 × 35923. Its 24 positive divisors give a proper-divisor sum of 10,058,944, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 35923
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,105,696
Proper Divisor Sum 10,058,944
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8046751 ← → #8046761

Radix Representation

Decimal 8046752
Binary 11110101100100010100000 (23 bits)
Octal 0o36544240
Hexadecimal 0x7AC8A0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 35,923 71,846 143,692 251,461 287,384 502,922 574,768 1,005,844 1,149,536 2,011,688 4,023,376 8,046,752

Collatz Trajectory (93 steps to reach 1)

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

8,046,752 4,023,376 2,011,688 1,005,844 502,922 251,461 754,384 377,192 188,596 94,298 47,149 141,448 70,724 35,362 17,681 53,044 26,522 13,261 39,784 19,892 9,946 4,973 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238

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