λ
Integer Codex

9,731,573

1049 × 9277
Deficient Odd Composite

For 9,731,573, the 4 positive divisors have a total of 9,741,900. Removing 9,731,573 leaves 10,327, which gives the deficient classification.

Prime Factor Structure

Factorization String 1049 × 9277
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,741,900
Proper Divisor Sum 10,327
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9731569 ← → #9731581

Radix Representation

Decimal 9731573
Binary 100101000111110111110101 (24 bits)
Octal 0o45076765
Hexadecimal 0x947DF5

Divisor Catalog (4)

1 1,049 9,277 9,731,573

Collatz Trajectory (88 steps to reach 1)

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

9,731,573 29,194,720 14,597,360 7,298,680 3,649,340 1,824,670 912,335 2,737,006 1,368,503 4,105,510 2,052,755 6,158,266 3,079,133 9,237,400 4,618,700 2,309,350 1,154,675 3,464,026 1,732,013 5,196,040 2,598,020 1,299,010 649,505 1,948,516 974,258 487,129 1,461,388 730,694 365,347 1,096,042 548,021 1,644,064 822,032 411,016 205,508 102,754 51,377 154,132 77,066 38,533 115,600 57,800 28,900 14,450 7,225 21,676 10,838 5,419 16,258 8,129 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430 1,715

More profiles

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