λ
Integer Codex

7,024,413

3 × 112 × 37 × 523
Deficient Odd Composite

For 7,024,413, the 24 positive divisors have a total of 10,593,184. Removing 7,024,413 leaves 3,568,771, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11^2 × 37 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,593,184
Proper Divisor Sum 3,568,771
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7024411 ← → #7024421

Radix Representation

Decimal 7024413
Binary 11010110010111100011101 (23 bits)
Octal 0o32627435
Hexadecimal 0x6B2F1D

Divisor Catalog (24)

1 3 11 33 37 111 121 363 407 523 1,221 1,569 4,477 5,753 13,431 17,259 19,351 58,053 63,283 189,849 212,861 638,583 2,341,471 7,024,413

Collatz Trajectory (191 steps to reach 1)

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

7,024,413 21,073,240 10,536,620 5,268,310 2,634,155 7,902,466 3,951,233 11,853,700 5,926,850 2,963,425 8,890,276 4,445,138 2,222,569 6,667,708 3,333,854 1,666,927 5,000,782 2,500,391 7,501,174 3,750,587 11,251,762 5,625,881 16,877,644 8,438,822 4,219,411 12,658,234 6,329,117 18,987,352 9,493,676 4,746,838 2,373,419 7,120,258 3,560,129 10,680,388 5,340,194 2,670,097 8,010,292 4,005,146 2,002,573 6,007,720 3,003,860 1,501,930 750,965 2,252,896 1,126,448 563,224 281,612 140,806 70,403 211,210 105,605 316,816 158,408 79,204 39,602 19,801 59,404 29,702 14,851 44,554

More profiles

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