λ
Integer Codex

8,241,033

3 × 107 × 25673
Deficient Odd Composite

For 8,241,033, the 8 positive divisors have a total of 11,091,168. Removing 8,241,033 leaves 2,850,135, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 107 × 25673
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,091,168
Proper Divisor Sum 2,850,135
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8241019 ← → #8241091

Radix Representation

Decimal 8241033
Binary 11111011011111110001001 (23 bits)
Octal 0o37337611
Hexadecimal 0x7DBF89

Divisor Catalog (8)

1 3 107 321 25,673 77,019 2,747,011 8,241,033

Collatz Trajectory (261 steps to reach 1)

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

8,241,033 24,723,100 12,361,550 6,180,775 18,542,326 9,271,163 27,813,490 13,906,745 41,720,236 20,860,118 10,430,059 31,290,178 15,645,089 46,935,268 23,467,634 11,733,817 35,201,452 17,600,726 8,800,363 26,401,090 13,200,545 39,601,636 19,800,818 9,900,409 29,701,228 14,850,614 7,425,307 22,275,922 11,137,961 33,413,884 16,706,942 8,353,471 25,060,414 12,530,207 37,590,622 18,795,311 56,385,934 28,192,967 84,578,902 42,289,451 126,868,354 63,434,177 190,302,532 95,151,266 47,575,633 142,726,900 71,363,450 35,681,725 107,045,176 53,522,588 26,761,294 13,380,647 40,141,942 20,070,971 60,212,914 30,106,457 90,319,372 45,159,686 22,579,843 67,739,530

More profiles

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