727,845

3 × 5 × 48523

727,845 has digital root 6. The neighboring primes are 727843 and 727847; its proper-divisor sum differs from the starting integer by -291,114.

Prime Factor Structure

Factorization String 3 × 5 × 48523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,164,576

Proper Divisor Sum 436,731

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #727843 ← → #727847

Radix Representation

Decimal	727845
Binary	10110001101100100101 (20 bits)
Octal	0o2615445
Hexadecimal	0xB1B25

Divisor Catalog (8)

1 3 5 15 48,523 145,569 242,615 727,845

Collatz Trajectory (87 steps to reach 1)

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

727,845 2,183,536 1,091,768 545,884 272,942 136,471 409,414 204,707 614,122 307,061 921,184 460,592 230,296 115,148 57,574 28,787 86,362 43,181 129,544 64,772 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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