λ
Prime Ledger

1,712,189

17 × 23 × 29 × 151
Deficient Odd Composite

1,712,189 has the prime decomposition 17 × 23 × 29 × 151. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 17 × 23 × 29 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,969,920
Proper Divisor Sum 257,731
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1712177 ← → #1712197

Radix Representation

Decimal 1712189
Binary 110100010000000111101 (21 bits)
Octal 0o6420075
Hexadecimal 0x1A203D

Divisor Catalog (16)

1 17 23 29 151 391 493 667 2,567 3,473 4,379 11,339 59,041 74,443 100,717 1,712,189

Collatz Trajectory (57 steps to reach 1)

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

1,712,189 5,136,568 2,568,284 1,284,142 642,071 1,926,214 963,107 2,889,322 1,444,661 4,333,984 2,166,992 1,083,496 541,748 270,874 135,437 406,312 203,156 101,578 50,789 152,368 76,184 38,092 19,046 9,523 28,570 14,285 42,856 21,428 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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