λ
Integer Codex

8,821,601

41 × 215161
Deficient Odd Composite

For 8,821,601, the 4 positive divisors have a total of 9,036,804. Removing 8,821,601 leaves 215,203, which gives the deficient classification.

Prime Factor Structure

Factorization String 41 × 215161
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,036,804
Proper Divisor Sum 215,203
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8821583 ← → #8821633

Radix Representation

Decimal 8821601
Binary 100001101001101101100001 (24 bits)
Octal 0o41515541
Hexadecimal 0x869B61

Divisor Catalog (4)

1 41 215,161 8,821,601

Collatz Trajectory (243 steps to reach 1)

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

8,821,601 26,464,804 13,232,402 6,616,201 19,848,604 9,924,302 4,962,151 14,886,454 7,443,227 22,329,682 11,164,841 33,494,524 16,747,262 8,373,631 25,120,894 12,560,447 37,681,342 18,840,671 56,522,014 28,261,007 84,783,022 42,391,511 127,174,534 63,587,267 190,761,802 95,380,901 286,142,704 143,071,352 71,535,676 35,767,838 17,883,919 53,651,758 26,825,879 80,477,638 40,238,819 120,716,458 60,358,229 181,074,688 90,537,344 45,268,672 22,634,336 11,317,168 5,658,584 2,829,292 1,414,646 707,323 2,121,970 1,060,985 3,182,956 1,591,478 795,739 2,387,218 1,193,609 3,580,828 1,790,414 895,207 2,685,622 1,342,811 4,028,434 2,014,217

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