λ
Integer Codex

6,215,797

72 × 47 × 2699
Deficient Odd Composite

For 6,215,797, the 12 positive divisors have a total of 7,387,200. Removing 6,215,797 leaves 1,171,403, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 47 × 2699
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,387,200
Proper Divisor Sum 1,171,403
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6215789 ← → #6215813

Radix Representation

Decimal 6215797
Binary 10111101101100001110101 (23 bits)
Octal 0o27554165
Hexadecimal 0x5ED875

Divisor Catalog (12)

1 7 47 49 329 2,303 2,699 18,893 126,853 132,251 887,971 6,215,797

Collatz Trajectory (59 steps to reach 1)

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

6,215,797 18,647,392 9,323,696 4,661,848 2,330,924 1,165,462 582,731 1,748,194 874,097 2,622,292 1,311,146 655,573 1,966,720 983,360 491,680 245,840 122,920 61,460 30,730 15,365 46,096 23,048 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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