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Atlas › Integer Profiles › Node 5,877,222

5,877,222

2 × 3 × 13 × 151 × 499
Abundant Even Composite

5,877,222 factors as 2 × 3 × 13 × 151 × 499. Its 32 positive divisors give a proper-divisor sum of 6,890,778, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 151 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,768,000
Proper Divisor Sum 6,890,778
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5877211 ← → #5877229

Radix Representation

Decimal 5877222
Binary 10110011010110111100110 (23 bits)
Octal 0o26326746
Hexadecimal 0x59ADE6

Divisor Catalog (32)

1 2 3 6 13 26 39 78 151 302 453 499 906 998 1,497 1,963 2,994 3,926 5,889 6,487 11,778 12,974 19,461 38,922 75,349 150,698 226,047 452,094 979,537 1,959,074 2,938,611 5,877,222

Collatz Trajectory (152 steps to reach 1)

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

5,877,222 2,938,611 8,815,834 4,407,917 13,223,752 6,611,876 3,305,938 1,652,969 4,958,908 2,479,454 1,239,727 3,719,182 1,859,591 5,578,774 2,789,387 8,368,162 4,184,081 12,552,244 6,276,122 3,138,061 9,414,184 4,707,092 2,353,546 1,176,773 3,530,320 1,765,160 882,580 441,290 220,645 661,936 330,968 165,484 82,742 41,371 124,114 62,057 186,172 93,086 46,543 139,630 69,815 209,446 104,723 314,170 157,085 471,256 235,628 117,814 58,907 176,722 88,361 265,084 132,542 66,271 198,814 99,407 298,222 149,111 447,334 223,667

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