λ
Integer Codex

7,198,241

23 × 312967
Deficient Odd Composite

For 7,198,241, the 4 positive divisors have a total of 7,511,232. Removing 7,198,241 leaves 312,991, which gives the deficient classification.

Prime Factor Structure

Factorization String 23 × 312967
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,511,232
Proper Divisor Sum 312,991
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7198237 ← → #7198267

Radix Representation

Decimal 7198241
Binary 11011011101011000100001 (23 bits)
Octal 0o33353041
Hexadecimal 0x6DD621

Divisor Catalog (4)

1 23 312,967 7,198,241

Collatz Trajectory (142 steps to reach 1)

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

7,198,241 21,594,724 10,797,362 5,398,681 16,196,044 8,098,022 4,049,011 12,147,034 6,073,517 18,220,552 9,110,276 4,555,138 2,277,569 6,832,708 3,416,354 1,708,177 5,124,532 2,562,266 1,281,133 3,843,400 1,921,700 960,850 480,425 1,441,276 720,638 360,319 1,080,958 540,479 1,621,438 810,719 2,432,158 1,216,079 3,648,238 1,824,119 5,472,358 2,736,179 8,208,538 4,104,269 12,312,808 6,156,404 3,078,202 1,539,101 4,617,304 2,308,652 1,154,326 577,163 1,731,490 865,745 2,597,236 1,298,618 649,309 1,947,928 973,964 486,982 243,491 730,474 365,237 1,095,712 547,856 273,928

More profiles

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