λ
Integer Codex

9,988,223

7 × 1426889
Deficient Odd Composite

For 9,988,223, the 4 positive divisors have a total of 11,415,120. Removing 9,988,223 leaves 1,426,897, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 1426889
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,415,120
Proper Divisor Sum 1,426,897
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9988213 ← → #9988229

Radix Representation

Decimal 9988223
Binary 100110000110100001111111 (24 bits)
Octal 0o46064177
Hexadecimal 0x98687F

Divisor Catalog (4)

1 7 1,426,889 9,988,223

Collatz Trajectory (137 steps to reach 1)

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

9,988,223 29,964,670 14,982,335 44,947,006 22,473,503 67,420,510 33,710,255 101,130,766 50,565,383 151,696,150 75,848,075 227,544,226 113,772,113 341,316,340 170,658,170 85,329,085 255,987,256 127,993,628 63,996,814 31,998,407 95,995,222 47,997,611 143,992,834 71,996,417 215,989,252 107,994,626 53,997,313 161,991,940 80,995,970 40,497,985 121,493,956 60,746,978 30,373,489 91,120,468 45,560,234 22,780,117 68,340,352 34,170,176 17,085,088 8,542,544 4,271,272 2,135,636 1,067,818 533,909 1,601,728 800,864 400,432 200,216 100,108 50,054 25,027 75,082 37,541 112,624 56,312 28,156 14,078 7,039 21,118 10,559

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