λ
Prime Ledger

1,731,026

2 × 112 × 23 × 311
Deficient Even Composite

1,731,026 has the prime decomposition 2 × 11^2 × 23 × 311. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 11^2 × 23 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,987,712
Proper Divisor Sum 1,256,686
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1731013 ← → #1731053

Radix Representation

Decimal 1731026
Binary 110100110100111010010 (21 bits)
Octal 0o6464722
Hexadecimal 0x1A69D2

Divisor Catalog (24)

1 2 11 22 23 46 121 242 253 311 506 622 2,783 3,421 5,566 6,842 7,153 14,306 37,631 75,262 78,683 157,366 865,513 1,731,026

Collatz Trajectory (176 steps to reach 1)

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

1,731,026 865,513 2,596,540 1,298,270 649,135 1,947,406 973,703 2,921,110 1,460,555 4,381,666 2,190,833 6,572,500 3,286,250 1,643,125 4,929,376 2,464,688 1,232,344 616,172 308,086 154,043 462,130 231,065 693,196 346,598 173,299 519,898 259,949 779,848 389,924 194,962 97,481 292,444 146,222 73,111 219,334 109,667 329,002 164,501 493,504 246,752 123,376 61,688 30,844 15,422 7,711 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041 117,124 58,562 29,281 87,844 43,922 21,961 65,884

More profiles

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