λ
Prime Ledger

728,781

3 × 242927
Deficient Odd Composite

728,781 has the prime decomposition 3 × 242927. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 242927
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 971,712
Proper Divisor Sum 242,931
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #728771 ← → #728809

Radix Representation

Decimal 728781
Binary 10110001111011001101 (20 bits)
Octal 0o2617315
Hexadecimal 0xB1ECD

Divisor Catalog (4)

1 3 242,927 728,781

Collatz Trajectory (74 steps to reach 1)

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

728,781 2,186,344 1,093,172 546,586 273,293 819,880 409,940 204,970 102,485 307,456 153,728 76,864 38,432 19,216 9,608 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22

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