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Atlas › Integer Profiles › Node 3,018,880

3,018,880

27 × 5 × 53 × 89
Abundant Even Composite

3,018,880 factors as 2^7 × 5 × 53 × 89. Its 64 positive divisors give a proper-divisor sum of 4,416,920, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 53 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,435,800
Proper Divisor Sum 4,416,920
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3018803 ← → #3018881

Radix Representation

Decimal 3018880
Binary 1011100001000010000000 (22 bits)
Octal 0o13410200
Hexadecimal 0x2E1080

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 32 40 53 64 80 89 106 128 160 178 212 265 320 356 424 445 530 640 712 848 890 1,060 1,424 1,696 1,780 2,120 2,848 3,392 3,560 4,240 4,717 5,696 6,784 7,120 8,480 9,434 11,392 14,240 16,960 18,868 23,585 28,480 33,920 37,736 47,170 56,960 75,472 94,340 150,944 188,680 301,888 377,360

Collatz Trajectory (89 steps to reach 1)

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

3,018,880 1,509,440 754,720 377,360 188,680 94,340 47,170 23,585 70,756 35,378 17,689 53,068 26,534 13,267 39,802 19,901 59,704 29,852 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533

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