λ
Prime Ledger

2,324,175

3 × 52 × 7 × 19 × 233
Deficient Odd Composite

2,324,175 has the prime decomposition 3 × 5^2 × 7 × 19 × 233. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 19 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,642,560
Proper Divisor Sum 2,318,385
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2324171 ← → #2324177

Radix Representation

Decimal 2324175
Binary 1000110111011011001111 (22 bits)
Octal 0o10673317
Hexadecimal 0x2376CF

Divisor Catalog (48)

1 3 5 7 15 19 21 25 35 57 75 95 105 133 175 233 285 399 475 525 665 699 1,165 1,425 1,631 1,995 3,325 3,495 4,427 4,893 5,825 8,155 9,975 13,281 17,475 22,135 24,465 30,989 40,775 66,405 92,967 110,675 122,325 154,945 332,025 464,835 774,725 2,324,175

Collatz Trajectory (179 steps to reach 1)

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

2,324,175 6,972,526 3,486,263 10,458,790 5,229,395 15,688,186 7,844,093 23,532,280 11,766,140 5,883,070 2,941,535 8,824,606 4,412,303 13,236,910 6,618,455 19,855,366 9,927,683 29,783,050 14,891,525 44,674,576 22,337,288 11,168,644 5,584,322 2,792,161 8,376,484 4,188,242 2,094,121 6,282,364 3,141,182 1,570,591 4,711,774 2,355,887 7,067,662 3,533,831 10,601,494 5,300,747 15,902,242 7,951,121 23,853,364 11,926,682 5,963,341 17,890,024 8,945,012 4,472,506 2,236,253 6,708,760 3,354,380 1,677,190 838,595 2,515,786 1,257,893 3,773,680 1,886,840 943,420 471,710 235,855 707,566 353,783 1,061,350 530,675

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