λ
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Atlas › Integer Profiles › Node 18,287,248

18,287,248

24 × 7 × 67 × 2437
Abundant Even Composite

18,287,248 factors as 2^4 × 7 × 67 × 2437. Its 40 positive divisors give a proper-divisor sum of 22,827,184, so this integer is abundant. The Collatz stopping time is 288 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 67 × 2437
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 41,114,432
Proper Divisor Sum 22,827,184
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #18287221 ← → #18287249

Radix Representation

Decimal 18287248
Binary 1000101110000101010010000 (25 bits)
Octal 0o105605220
Hexadecimal 0x1170A90

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1,072 1,876 2,437 3,752 4,874 7,504 9,748 17,059 19,496 34,118 38,992 68,236 136,472 163,279 272,944 326,558 653,116 1,142,953 1,306,232 2,285,906 2,612,464 4,571,812 9,143,624 18,287,248

Collatz Trajectory (288 steps to reach 1)

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

18,287,248 9,143,624 4,571,812 2,285,906 1,142,953 3,428,860 1,714,430 857,215 2,571,646 1,285,823 3,857,470 1,928,735 5,786,206 2,893,103 8,679,310 4,339,655 13,018,966 6,509,483 19,528,450 9,764,225 29,292,676 14,646,338 7,323,169 21,969,508 10,984,754 5,492,377 16,477,132 8,238,566 4,119,283 12,357,850 6,178,925 18,536,776 9,268,388 4,634,194 2,317,097 6,951,292 3,475,646 1,737,823 5,213,470 2,606,735 7,820,206 3,910,103 11,730,310 5,865,155 17,595,466 8,797,733 26,393,200 13,196,600 6,598,300 3,299,150 1,649,575 4,948,726 2,474,363 7,423,090 3,711,545 11,134,636 5,567,318 2,783,659 8,350,978 4,175,489

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