λ
Prime Ledger

2,957,232

24 × 3 × 61609
Abundant Even Composite

2,957,232 has the prime decomposition 2^4 × 3 × 61609. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 61609
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,639,640
Proper Divisor Sum 4,682,408
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2957231 ← → #2957237

Radix Representation

Decimal 2957232
Binary 1011010001111110110000 (22 bits)
Octal 0o13217660
Hexadecimal 0x2D1FB0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 61,609 123,218 184,827 246,436 369,654 492,872 739,308 985,744 1,478,616 2,957,232

Collatz Trajectory (182 steps to reach 1)

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

2,957,232 1,478,616 739,308 369,654 184,827 554,482 277,241 831,724 415,862 207,931 623,794 311,897 935,692 467,846 233,923 701,770 350,885 1,052,656 526,328 263,164 131,582 65,791 197,374 98,687 296,062 148,031 444,094 222,047 666,142 333,071 999,214 499,607 1,498,822 749,411 2,248,234 1,124,117 3,372,352 1,686,176 843,088 421,544 210,772 105,386 52,693 158,080 79,040 39,520 19,760 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130

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