λ
Prime Ledger

2,333,460

22 × 3 × 5 × 38891
Abundant Even Composite

2,333,460 has the prime decomposition 2^2 × 3 × 5 × 38891. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 38891
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,533,856
Proper Divisor Sum 4,200,396
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2333459 ← → #2333467

Radix Representation

Decimal 2333460
Binary 1000111001101100010100 (22 bits)
Octal 0o10715424
Hexadecimal 0x239B14

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 38,891 77,782 116,673 155,564 194,455 233,346 388,910 466,692 583,365 777,820 1,166,730 2,333,460

Collatz Trajectory (161 steps to reach 1)

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

2,333,460 1,166,730 583,365 1,750,096 875,048 437,524 218,762 109,381 328,144 164,072 82,036 41,018 20,509 61,528 30,764 15,382 7,691 23,074 11,537 34,612 17,306 8,653 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71

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