λ
Prime Ledger

2,476,288

28 × 17 × 569
Abundant Even Composite

2,476,288 has the prime decomposition 2^8 × 17 × 569. Its 3 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 17 × 569
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,242,860
Proper Divisor Sum 2,766,572
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2476283 ← → #2476291

Radix Representation

Decimal 2476288
Binary 1001011100100100000000 (22 bits)
Octal 0o11344400
Hexadecimal 0x25C900

Divisor Catalog (36)

1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 569 1,088 1,138 2,176 2,276 4,352 4,552 9,104 9,673 18,208 19,346 36,416 38,692 72,832 77,384 145,664 154,768 309,536 619,072 1,238,144 2,476,288

Collatz Trajectory (68 steps to reach 1)

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

2,476,288 1,238,144 619,072 309,536 154,768 77,384 38,692 19,346 9,673 29,020 14,510 7,255 21,766 10,883 32,650 16,325 48,976 24,488 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13

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