λ
Integer Codex

6,982,273

47 × 53 × 2803
Deficient Odd Composite

For 6,982,273, the 8 positive divisors have a total of 7,267,968. Removing 6,982,273 leaves 285,695, which gives the deficient classification.

Prime Factor Structure

Factorization String 47 × 53 × 2803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,267,968
Proper Divisor Sum 285,695
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6982247 ← → #6982279

Radix Representation

Decimal 6982273
Binary 11010101000101010000001 (23 bits)
Octal 0o32505201
Hexadecimal 0x6A8A81

Divisor Catalog (8)

1 47 53 2,491 2,803 131,741 148,559 6,982,273

Collatz Trajectory (297 steps to reach 1)

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

6,982,273 20,946,820 10,473,410 5,236,705 15,710,116 7,855,058 3,927,529 11,782,588 5,891,294 2,945,647 8,836,942 4,418,471 13,255,414 6,627,707 19,883,122 9,941,561 29,824,684 14,912,342 7,456,171 22,368,514 11,184,257 33,552,772 16,776,386 8,388,193 25,164,580 12,582,290 6,291,145 18,873,436 9,436,718 4,718,359 14,155,078 7,077,539 21,232,618 10,616,309 31,848,928 15,924,464 7,962,232 3,981,116 1,990,558 995,279 2,985,838 1,492,919 4,478,758 2,239,379 6,718,138 3,359,069 10,077,208 5,038,604 2,519,302 1,259,651 3,778,954 1,889,477 5,668,432 2,834,216 1,417,108 708,554 354,277 1,062,832 531,416 265,708

More profiles

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