λ
Integer Codex

7,215,511

311 × 23201
Deficient Odd Composite

For 7,215,511, the 4 positive divisors have a total of 7,239,024. Removing 7,215,511 leaves 23,513, which gives the deficient classification.

Prime Factor Structure

Factorization String 311 × 23201
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,239,024
Proper Divisor Sum 23,513
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7215503 ← → #7215547

Radix Representation

Decimal 7215511
Binary 11011100001100110010111 (23 bits)
Octal 0o33414627
Hexadecimal 0x6E1997

Divisor Catalog (4)

1 311 23,201 7,215,511

Collatz Trajectory (116 steps to reach 1)

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

7,215,511 21,646,534 10,823,267 32,469,802 16,234,901 48,704,704 24,352,352 12,176,176 6,088,088 3,044,044 1,522,022 761,011 2,283,034 1,141,517 3,424,552 1,712,276 856,138 428,069 1,284,208 642,104 321,052 160,526 80,263 240,790 120,395 361,186 180,593 541,780 270,890 135,445 406,336 203,168 101,584 50,792 25,396 12,698 6,349 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

More profiles

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