λ
Integer Codex

9,525,221

397 × 23993
Deficient Odd Composite

For 9,525,221, the 4 positive divisors have a total of 9,549,612. Removing 9,525,221 leaves 24,391, which gives the deficient classification.

Prime Factor Structure

Factorization String 397 × 23993
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,549,612
Proper Divisor Sum 24,391
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9525203 ← → #9525223

Radix Representation

Decimal 9525221
Binary 100100010101011111100101 (24 bits)
Octal 0o44253745
Hexadecimal 0x9157E5

Divisor Catalog (4)

1 397 23,993 9,525,221

Collatz Trajectory (176 steps to reach 1)

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

9,525,221 28,575,664 14,287,832 7,143,916 3,571,958 1,785,979 5,357,938 2,678,969 8,036,908 4,018,454 2,009,227 6,027,682 3,013,841 9,041,524 4,520,762 2,260,381 6,781,144 3,390,572 1,695,286 847,643 2,542,930 1,271,465 3,814,396 1,907,198 953,599 2,860,798 1,430,399 4,291,198 2,145,599 6,436,798 3,218,399 9,655,198 4,827,599 14,482,798 7,241,399 21,724,198 10,862,099 32,586,298 16,293,149 48,879,448 24,439,724 12,219,862 6,109,931 18,329,794 9,164,897 27,494,692 13,747,346 6,873,673 20,621,020 10,310,510 5,155,255 15,465,766 7,732,883 23,198,650 11,599,325 34,797,976 17,398,988 8,699,494 4,349,747 13,049,242

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