λ
Sigma Notebook

8,001,568

25 × 250049
Deficient Even Composite

8,001,568 is even and not a perfect square. Its factorization is 2^5 × 250049 and its 12 divisors sum to 15,753,150.

Prime Factor Structure

Factorization String 2^5 × 250049
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,753,150
Proper Divisor Sum 7,751,582
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8001559 ← → #8001571

Radix Representation

Decimal 8001568
Binary 11110100001100000100000 (23 bits)
Octal 0o36414040
Hexadecimal 0x7A1820

Divisor Catalog (12)

1 2 4 8 16 32 250,049 500,098 1,000,196 2,000,392 4,000,784 8,001,568

Collatz Trajectory (142 steps to reach 1)

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

8,001,568 4,000,784 2,000,392 1,000,196 500,098 250,049 750,148 375,074 187,537 562,612 281,306 140,653 421,960 210,980 105,490 52,745 158,236 79,118 39,559 118,678 59,339 178,018 89,009 267,028 133,514 66,757 200,272 100,136 50,068 25,034 12,517 37,552 18,776 9,388 4,694 2,347 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476

More profiles

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