λ
Integer Codex

7,242,371

47 × 223 × 691
Deficient Odd Composite

For 7,242,371, the 8 positive divisors have a total of 7,440,384. Removing 7,242,371 leaves 198,013, which gives the deficient classification.

Prime Factor Structure

Factorization String 47 × 223 × 691
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,440,384
Proper Divisor Sum 198,013
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7242359 ← → #7242379

Radix Representation

Decimal 7242371
Binary 11011101000001010000011 (23 bits)
Octal 0o33501203
Hexadecimal 0x6E8283

Divisor Catalog (8)

1 47 223 691 10,481 32,477 154,093 7,242,371

Collatz Trajectory (160 steps to reach 1)

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

7,242,371 21,727,114 10,863,557 32,590,672 16,295,336 8,147,668 4,073,834 2,036,917 6,110,752 3,055,376 1,527,688 763,844 381,922 190,961 572,884 286,442 143,221 429,664 214,832 107,416 53,708 26,854 13,427 40,282 20,141 60,424 30,212 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214

More profiles

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