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Atlas › Integer Profiles › Node 7,280,488

7,280,488

23 × 172 × 47 × 67
Abundant Even Composite

7,280,488 factors as 2^3 × 17^2 × 47 × 67. Its 48 positive divisors give a proper-divisor sum of 7,750,232, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 17^2 × 47 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,030,720
Proper Divisor Sum 7,750,232
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7280461 ← → #7280491

Radix Representation

Decimal 7280488
Binary 11011110001011101101000 (23 bits)
Octal 0o33613550
Hexadecimal 0x6F1768

Divisor Catalog (48)

1 2 4 8 17 34 47 67 68 94 134 136 188 268 289 376 536 578 799 1,139 1,156 1,598 2,278 2,312 3,149 3,196 4,556 6,298 6,392 9,112 12,596 13,583 19,363 25,192 27,166 38,726 53,533 54,332 77,452 107,066 108,664 154,904 214,132 428,264 910,061 1,820,122 3,640,244 7,280,488

Collatz Trajectory (111 steps to reach 1)

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

7,280,488 3,640,244 1,820,122 910,061 2,730,184 1,365,092 682,546 341,273 1,023,820 511,910 255,955 767,866 383,933 1,151,800 575,900 287,950 143,975 431,926 215,963 647,890 323,945 971,836 485,918 242,959 728,878 364,439 1,093,318 546,659 1,639,978 819,989 2,459,968 1,229,984 614,992 307,496 153,748 76,874 38,437 115,312 57,656 28,828 14,414 7,207 21,622 10,811 32,434 16,217 48,652 24,326 12,163 36,490 18,245 54,736 27,368 13,684 6,842 3,421 10,264 5,132 2,566 1,283

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