λ
Integer Codex

2,207,241

32 × 23 × 10663
Deficient Odd Composite

For 2,207,241, the 12 positive divisors have a total of 3,327,168. Removing 2,207,241 leaves 1,119,927, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 23 × 10663
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,327,168
Proper Divisor Sum 1,119,927
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2207237 ← → #2207243

Radix Representation

Decimal 2207241
Binary 1000011010111000001001 (22 bits)
Octal 0o10327011
Hexadecimal 0x21AE09

Divisor Catalog (12)

1 3 9 23 69 207 10,663 31,989 95,967 245,249 735,747 2,207,241

Collatz Trajectory (148 steps to reach 1)

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

2,207,241 6,621,724 3,310,862 1,655,431 4,966,294 2,483,147 7,449,442 3,724,721 11,174,164 5,587,082 2,793,541 8,380,624 4,190,312 2,095,156 1,047,578 523,789 1,571,368 785,684 392,842 196,421 589,264 294,632 147,316 73,658 36,829 110,488 55,244 27,622 13,811 41,434 20,717 62,152 31,076 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012

More profiles

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