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Atlas › Integer Profiles › Node 5,877,120

5,877,120

27 × 3 × 5 × 3061
Abundant Even Composite

5,877,120 factors as 2^7 × 3 × 5 × 3061. Its 64 positive divisors give a proper-divisor sum of 12,862,320, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 3061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,739,440
Proper Divisor Sum 12,862,320
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5877103 ← → #5877127

Radix Representation

Decimal 5877120
Binary 10110011010110110000000 (23 bits)
Octal 0o26326600
Hexadecimal 0x59AD80

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1,920 3,061 6,122 9,183 12,244 15,305 18,366 24,488 30,610 36,732 45,915 48,976 61,220 73,464 91,830 97,952 122,440 146,928 183,660 195,904 244,880 293,856 367,320 391,808 489,760 587,712 734,640 979,520 1,175,424

Collatz Trajectory (183 steps to reach 1)

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

5,877,120 2,938,560 1,469,280 734,640 367,320 183,660 91,830 45,915 137,746 68,873 206,620 103,310 51,655 154,966 77,483 232,450 116,225 348,676 174,338 87,169 261,508 130,754 65,377 196,132 98,066 49,033 147,100 73,550 36,775 110,326 55,163 165,490 82,745 248,236 124,118 62,059 186,178 93,089 279,268 139,634 69,817 209,452 104,726 52,363 157,090 78,545 235,636 117,818 58,909 176,728 88,364 44,182 22,091 66,274 33,137 99,412 49,706 24,853 74,560 37,280

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