λ
Prime Ledger

728,417

728417
Deficient Odd Prime

728,417 has the prime decomposition 728417. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 728417
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 728,418
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #728383 ← → #728423

Radix Representation

Decimal 728417
Binary 10110001110101100001 (20 bits)
Octal 0o2616541
Hexadecimal 0xB1D61

Divisor Catalog (2)

1 728,417

Collatz Trajectory (180 steps to reach 1)

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

728,417 2,185,252 1,092,626 546,313 1,638,940 819,470 409,735 1,229,206 614,603 1,843,810 921,905 2,765,716 1,382,858 691,429 2,074,288 1,037,144 518,572 259,286 129,643 388,930 194,465 583,396 291,698 145,849 437,548 218,774 109,387 328,162 164,081 492,244 246,122 123,061 369,184 184,592 92,296 46,148 23,074 11,537 34,612 17,306 8,653 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772

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