λ
Integer Codex

8,097,751

271 × 29881
Deficient Odd Composite

For 8,097,751, the 4 positive divisors have a total of 8,127,904. Removing 8,097,751 leaves 30,153, which gives the deficient classification.

Prime Factor Structure

Factorization String 271 × 29881
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,127,904
Proper Divisor Sum 30,153
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8097731 ← → #8097767

Radix Representation

Decimal 8097751
Binary 11110111000111111010111 (23 bits)
Octal 0o36707727
Hexadecimal 0x7B8FD7

Divisor Catalog (4)

1 271 29,881 8,097,751

Collatz Trajectory (168 steps to reach 1)

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

8,097,751 24,293,254 12,146,627 36,439,882 18,219,941 54,659,824 27,329,912 13,664,956 6,832,478 3,416,239 10,248,718 5,124,359 15,373,078 7,686,539 23,059,618 11,529,809 34,589,428 17,294,714 8,647,357 25,942,072 12,971,036 6,485,518 3,242,759 9,728,278 4,864,139 14,592,418 7,296,209 21,888,628 10,944,314 5,472,157 16,416,472 8,208,236 4,104,118 2,052,059 6,156,178 3,078,089 9,234,268 4,617,134 2,308,567 6,925,702 3,462,851 10,388,554 5,194,277 15,582,832 7,791,416 3,895,708 1,947,854 973,927 2,921,782 1,460,891 4,382,674 2,191,337 6,574,012 3,287,006 1,643,503 4,930,510 2,465,255 7,395,766 3,697,883 11,093,650

More profiles

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