6,289,968

2⁴ × 3 × 131041

6,289,968 factors as 2^4 × 3 × 131041. Its 20 positive divisors give a proper-divisor sum of 9,959,240, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 131041

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 16,249,208

Proper Divisor Sum 9,959,240

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #6289967 ← → #6289973

Radix Representation

Decimal	6289968
Binary	10111111111101000110000 (23 bits)
Octal	0o27775060
Hexadecimal	0x5FFA30

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 131,041 262,082 393,123 524,164 786,246 1,048,328 1,572,492 2,096,656 3,144,984 6,289,968

Collatz Trajectory (178 steps to reach 1)

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

6,289,968 3,144,984 1,572,492 786,246 393,123 1,179,370 589,685 1,769,056 884,528 442,264 221,132 110,566 55,283 165,850 82,925 248,776 124,388 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239 78,718 39,359 118,078 59,039 177,118 88,559 265,678 132,839 398,518 199,259 597,778 298,889 896,668 448,334 224,167 672,502 336,251 1,008,754 504,377 1,513,132 756,566 378,283 1,134,850 567,425 1,702,276 851,138 425,569 1,276,708 638,354 319,177 957,532 478,766 239,383

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