λ
Prime Ledger

774,515

5 × 7 × 22129
Deficient Odd Composite

774,515 has the prime decomposition 5 × 7 × 22129. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 22129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,062,240
Proper Divisor Sum 287,725
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #774511 ← → #774523

Radix Representation

Decimal 774515
Binary 10111101000101110011 (20 bits)
Octal 0o2750563
Hexadecimal 0xBD173

Divisor Catalog (8)

1 5 7 35 22,129 110,645 154,903 774,515

Collatz Trajectory (100 steps to reach 1)

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

774,515 2,323,546 1,161,773 3,485,320 1,742,660 871,330 435,665 1,306,996 653,498 326,749 980,248 490,124 245,062 122,531 367,594 183,797 551,392 275,696 137,848 68,924 34,462 17,231 51,694 25,847 77,542 38,771 116,314 58,157 174,472 87,236 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916

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