λ
Prime Ledger

5,387,409

32 × 71 × 8431
Deficient Odd Composite

5,387,409 has the prime decomposition 3^2 × 71 × 8431. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 71 × 8431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,892,352
Proper Divisor Sum 2,504,943
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5387399 ← → #5387413

Radix Representation

Decimal 5387409
Binary 10100100011010010010001 (23 bits)
Octal 0o24432221
Hexadecimal 0x523491

Divisor Catalog (12)

1 3 9 71 213 639 8,431 25,293 75,879 598,601 1,795,803 5,387,409

Collatz Trajectory (232 steps to reach 1)

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

5,387,409 16,162,228 8,081,114 4,040,557 12,121,672 6,060,836 3,030,418 1,515,209 4,545,628 2,272,814 1,136,407 3,409,222 1,704,611 5,113,834 2,556,917 7,670,752 3,835,376 1,917,688 958,844 479,422 239,711 719,134 359,567 1,078,702 539,351 1,618,054 809,027 2,427,082 1,213,541 3,640,624 1,820,312 910,156 455,078 227,539 682,618 341,309 1,023,928 511,964 255,982 127,991 383,974 191,987 575,962 287,981 863,944 431,972 215,986 107,993 323,980 161,990 80,995 242,986 121,493 364,480 182,240 91,120 45,560 22,780 11,390 5,695

More profiles

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