5,755,995

3³ × 5 × 7 × 6091

5,755,995 factors as 3^3 × 5 × 7 × 6091. Its 32 positive divisors give a proper-divisor sum of 5,940,645, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 6091

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,696,640

Proper Divisor Sum 5,940,645

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5755973 ← → #5755999

Radix Representation

Decimal	5755995
Binary	10101111101010001011011 (23 bits)
Octal	0o25752133
Hexadecimal	0x57D45B

Divisor Catalog (32)

1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 6,091 18,273 30,455 42,637 54,819 91,365 127,911 164,457 213,185 274,095 383,733 639,555 822,285 1,151,199 1,918,665 5,755,995

Collatz Trajectory (170 steps to reach 1)

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

5,755,995 17,267,986 8,633,993 25,901,980 12,950,990 6,475,495 19,426,486 9,713,243 29,139,730 14,569,865 43,709,596 21,854,798 10,927,399 32,782,198 16,391,099 49,173,298 24,586,649 73,759,948 36,879,974 18,439,987 55,319,962 27,659,981 82,979,944 41,489,972 20,744,986 10,372,493 31,117,480 15,558,740 7,779,370 3,889,685 11,669,056 5,834,528 2,917,264 1,458,632 729,316 364,658 182,329 546,988 273,494 136,747 410,242 205,121 615,364 307,682 153,841 461,524 230,762 115,381 346,144 173,072 86,536 43,268 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085

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