λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,679,880

2,679,880

23 × 5 × 7 × 17 × 563
Abundant Even Composite

2,679,880 factors as 2^3 × 5 × 7 × 17 × 563. Its 64 positive divisors give a proper-divisor sum of 4,629,560, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 17 × 563
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,309,440
Proper Divisor Sum 4,629,560
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2679877 ← → #2679899

Radix Representation

Decimal 2679880
Binary 1010001110010001001000 (22 bits)
Octal 0o12162110
Hexadecimal 0x28E448

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 563 595 680 952 1,126 1,190 2,252 2,380 2,815 3,941 4,504 4,760 5,630 7,882 9,571 11,260 15,764 19,142 19,705 22,520 31,528 38,284 39,410 47,855 66,997 76,568 78,820 95,710 133,994 157,640 191,420 267,988 334,985 382,840

Collatz Trajectory (143 steps to reach 1)

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

2,679,880 1,339,940 669,970 334,985 1,004,956 502,478 251,239 753,718 376,859 1,130,578 565,289 1,695,868 847,934 423,967 1,271,902 635,951 1,907,854 953,927 2,861,782 1,430,891 4,292,674 2,146,337 6,439,012 3,219,506 1,609,753 4,829,260 2,414,630 1,207,315 3,621,946 1,810,973 5,432,920 2,716,460 1,358,230 679,115 2,037,346 1,018,673 3,056,020 1,528,010 764,005 2,292,016 1,146,008 573,004 286,502 143,251 429,754 214,877 644,632 322,316 161,158 80,579 241,738 120,869 362,608 181,304 90,652 45,326 22,663 67,990 33,995 101,986

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,679,879 Browse Full Index Next Integer #2,679,881 →