λ
Prime Ledger

429,847

11 × 23 × 1699
Deficient Odd Composite

429,847 has the prime decomposition 11 × 23 × 1699. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 23 × 1699
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 489,600
Proper Divisor Sum 59,753
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #429827 ← → #429851

Radix Representation

Decimal 429847
Binary 1101000111100010111 (19 bits)
Octal 0o1507427
Hexadecimal 0x68F17

Divisor Catalog (8)

1 11 23 253 1,699 18,689 39,077 429,847

Collatz Trajectory (125 steps to reach 1)

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

429,847 1,289,542 644,771 1,934,314 967,157 2,901,472 1,450,736 725,368 362,684 181,342 90,671 272,014 136,007 408,022 204,011 612,034 306,017 918,052 459,026 229,513 688,540 344,270 172,135 516,406 258,203 774,610 387,305 1,161,916 580,958 290,479 871,438 435,719 1,307,158 653,579 1,960,738 980,369 2,941,108 1,470,554 735,277 2,205,832 1,102,916 551,458 275,729 827,188 413,594 206,797 620,392 310,196 155,098 77,549 232,648 116,324 58,162 29,081 87,244 43,622 21,811 65,434 32,717 98,152

More profiles

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