λ
Prime Ledger

7,568,007

3 × 2522669
Deficient Odd Composite

7,568,007 has the prime decomposition 3 × 2522669. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2522669
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,090,680
Proper Divisor Sum 2,522,673
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7567991 ← → #7568021

Radix Representation

Decimal 7568007
Binary 11100110111101010000111 (23 bits)
Octal 0o34675207
Hexadecimal 0x737A87

Divisor Catalog (4)

1 3 2,522,669 7,568,007

Collatz Trajectory (204 steps to reach 1)

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

7,568,007 22,704,022 11,352,011 34,056,034 17,028,017 51,084,052 25,542,026 12,771,013 38,313,040 19,156,520 9,578,260 4,789,130 2,394,565 7,183,696 3,591,848 1,795,924 897,962 448,981 1,346,944 673,472 336,736 168,368 84,184 42,092 21,046 10,523 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334

More profiles

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