741,654

2 × 3² × 41203

741,654 has digital root 9. The neighboring primes are 741641 and 741661; its proper-divisor sum differs from the starting integer by 123,648.

Prime Factor Structure

Factorization String 2 × 3^2 × 41203

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,606,956

Proper Divisor Sum 865,302

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #741641 ← → #741661

Radix Representation

Decimal	741654
Binary	10110101000100010110 (20 bits)
Octal	0o2650426
Hexadecimal	0xB5116

Divisor Catalog (12)

1 2 3 6 9 18 41,203 82,406 123,609 247,218 370,827 741,654

Collatz Trajectory (286 steps to reach 1)

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

741,654 370,827 1,112,482 556,241 1,668,724 834,362 417,181 1,251,544 625,772 312,886 156,443 469,330 234,665 703,996 351,998 175,999 527,998 263,999 791,998 395,999 1,187,998 593,999 1,781,998 890,999 2,672,998 1,336,499 4,009,498 2,004,749 6,014,248 3,007,124 1,503,562 751,781 2,255,344 1,127,672 563,836 281,918 140,959 422,878 211,439 634,318 317,159 951,478 475,739 1,427,218 713,609 2,140,828 1,070,414 535,207 1,605,622 802,811 2,408,434 1,204,217 3,612,652 1,806,326 903,163 2,709,490 1,354,745 4,064,236 2,032,118 1,016,059

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