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Atlas › Integer Profiles › Node 6,046,974

6,046,974

2 × 34 × 163 × 229
Abundant Even Composite

6,046,974 factors as 2 × 3^4 × 163 × 229. Its 40 positive divisors give a proper-divisor sum of 7,645,386, so this integer is abundant. The Collatz stopping time is 395 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 163 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,692,360
Proper Divisor Sum 7,645,386
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6046933 ← → #6046987

Radix Representation

Decimal 6046974
Binary 10111000100010011111110 (23 bits)
Octal 0o27042376
Hexadecimal 0x5C44FE

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 162 163 229 326 458 489 687 978 1,374 1,467 2,061 2,934 4,122 4,401 6,183 8,802 12,366 13,203 18,549 26,406 37,098 37,327 74,654 111,981 223,962 335,943 671,886 1,007,829 2,015,658 3,023,487 6,046,974

Collatz Trajectory (395 steps to reach 1)

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

6,046,974 3,023,487 9,070,462 4,535,231 13,605,694 6,802,847 20,408,542 10,204,271 30,612,814 15,306,407 45,919,222 22,959,611 68,878,834 34,439,417 103,318,252 51,659,126 25,829,563 77,488,690 38,744,345 116,233,036 58,116,518 29,058,259 87,174,778 43,587,389 130,762,168 65,381,084 32,690,542 16,345,271 49,035,814 24,517,907 73,553,722 36,776,861 110,330,584 55,165,292 27,582,646 13,791,323 41,373,970 20,686,985 62,060,956 31,030,478 15,515,239 46,545,718 23,272,859 69,818,578 34,909,289 104,727,868 52,363,934 26,181,967 78,545,902 39,272,951 117,818,854 58,909,427 176,728,282 88,364,141 265,092,424 132,546,212 66,273,106 33,136,553 99,409,660 49,704,830

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