λ
Integer Codex

8,855,623

72 × 17 × 10631
Deficient Odd Composite

For 8,855,623, the 12 positive divisors have a total of 10,908,432. Removing 8,855,623 leaves 2,052,809, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 17 × 10631
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,908,432
Proper Divisor Sum 2,052,809
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8855597 ← → #8855669

Radix Representation

Decimal 8855623
Binary 100001110010000001000111 (24 bits)
Octal 0o41620107
Hexadecimal 0x872047

Divisor Catalog (12)

1 7 17 49 119 833 10,631 74,417 180,727 520,919 1,265,089 8,855,623

Collatz Trajectory (199 steps to reach 1)

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

8,855,623 26,566,870 13,283,435 39,850,306 19,925,153 59,775,460 29,887,730 14,943,865 44,831,596 22,415,798 11,207,899 33,623,698 16,811,849 50,435,548 25,217,774 12,608,887 37,826,662 18,913,331 56,739,994 28,369,997 85,109,992 42,554,996 21,277,498 10,638,749 31,916,248 15,958,124 7,979,062 3,989,531 11,968,594 5,984,297 17,952,892 8,976,446 4,488,223 13,464,670 6,732,335 20,197,006 10,098,503 30,295,510 15,147,755 45,443,266 22,721,633 68,164,900 34,082,450 17,041,225 51,123,676 25,561,838 12,780,919 38,342,758 19,171,379 57,514,138 28,757,069 86,271,208 43,135,604 21,567,802 10,783,901 32,351,704 16,175,852 8,087,926 4,043,963 12,131,890

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