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Atlas › Integer Profiles › Node 6,038,148

6,038,148

22 × 3 × 29 × 17351
Abundant Even Composite

6,038,148 factors as 2^2 × 3 × 29 × 17351. Its 24 positive divisors give a proper-divisor sum of 8,537,532, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 17351
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,575,680
Proper Divisor Sum 8,537,532
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6038129 ← → #6038161

Radix Representation

Decimal 6038148
Binary 10111000010001010000100 (23 bits)
Octal 0o27021204
Hexadecimal 0x5C2284

Divisor Catalog (24)

1 2 3 4 6 12 29 58 87 116 174 348 17,351 34,702 52,053 69,404 104,106 208,212 503,179 1,006,358 1,509,537 2,012,716 3,019,074 6,038,148

Collatz Trajectory (214 steps to reach 1)

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

6,038,148 3,019,074 1,509,537 4,528,612 2,264,306 1,132,153 3,396,460 1,698,230 849,115 2,547,346 1,273,673 3,821,020 1,910,510 955,255 2,865,766 1,432,883 4,298,650 2,149,325 6,447,976 3,223,988 1,611,994 805,997 2,417,992 1,208,996 604,498 302,249 906,748 453,374 226,687 680,062 340,031 1,020,094 510,047 1,530,142 765,071 2,295,214 1,147,607 3,442,822 1,721,411 5,164,234 2,582,117 7,746,352 3,873,176 1,936,588 968,294 484,147 1,452,442 726,221 2,178,664 1,089,332 544,666 272,333 817,000 408,500 204,250 102,125 306,376 153,188 76,594 38,297

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