λ
Integer Codex

8,525,641

2207 × 3863
Deficient Odd Composite

For 8,525,641, the 4 positive divisors have a total of 8,531,712. Removing 8,525,641 leaves 6,071, which gives the deficient classification.

Prime Factor Structure

Factorization String 2207 × 3863
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,531,712
Proper Divisor Sum 6,071
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8525603 ← → #8525669

Radix Representation

Decimal 8525641
Binary 100000100001011101001001 (24 bits)
Octal 0o40413511
Hexadecimal 0x821749

Divisor Catalog (4)

1 2,207 3,863 8,525,641

Collatz Trajectory (106 steps to reach 1)

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

8,525,641 25,576,924 12,788,462 6,394,231 19,182,694 9,591,347 28,774,042 14,387,021 43,161,064 21,580,532 10,790,266 5,395,133 16,185,400 8,092,700 4,046,350 2,023,175 6,069,526 3,034,763 9,104,290 4,552,145 13,656,436 6,828,218 3,414,109 10,242,328 5,121,164 2,560,582 1,280,291 3,840,874 1,920,437 5,761,312 2,880,656 1,440,328 720,164 360,082 180,041 540,124 270,062 135,031 405,094 202,547 607,642 303,821 911,464 455,732 227,866 113,933 341,800 170,900 85,450 42,725 128,176 64,088 32,044 16,022 8,011 24,034 12,017 36,052 18,026 9,013

More profiles

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