λ
Prime Ledger

2,486,380

22 × 5 × 13 × 73 × 131
Abundant Even Composite

2,486,380 has the prime decomposition 2^2 × 5 × 13 × 73 × 131. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 73 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,743,584
Proper Divisor Sum 3,257,204
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2486371 ← → #2486381

Radix Representation

Decimal 2486380
Binary 1001011111000001101100 (22 bits)
Octal 0o11370154
Hexadecimal 0x25F06C

Divisor Catalog (48)

1 2 4 5 10 13 20 26 52 65 73 130 131 146 260 262 292 365 524 655 730 949 1,310 1,460 1,703 1,898 2,620 3,406 3,796 4,745 6,812 8,515 9,490 9,563 17,030 18,980 19,126 34,060 38,252 47,815 95,630 124,319 191,260 248,638 497,276 621,595 1,243,190 2,486,380

Collatz Trajectory (112 steps to reach 1)

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

2,486,380 1,243,190 621,595 1,864,786 932,393 2,797,180 1,398,590 699,295 2,097,886 1,048,943 3,146,830 1,573,415 4,720,246 2,360,123 7,080,370 3,540,185 10,620,556 5,310,278 2,655,139 7,965,418 3,982,709 11,948,128 5,974,064 2,987,032 1,493,516 746,758 373,379 1,120,138 560,069 1,680,208 840,104 420,052 210,026 105,013 315,040 157,520 78,760 39,380 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632

More profiles

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