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Atlas › Integer Profiles › Node 7,979,910

7,979,910

2 × 3 × 5 × 461 × 577
Abundant Even Composite

7,979,910 factors as 2 × 3 × 5 × 461 × 577. Its 32 positive divisors give a proper-divisor sum of 11,246,682, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 461 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,226,592
Proper Divisor Sum 11,246,682
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7979893 ← → #7979911

Radix Representation

Decimal 7979910
Binary 11110011100001110000110 (23 bits)
Octal 0o36341606
Hexadecimal 0x79C386

Divisor Catalog (32)

1 2 3 5 6 10 15 30 461 577 922 1,154 1,383 1,731 2,305 2,766 2,885 3,462 4,610 5,770 6,915 8,655 13,830 17,310 265,997 531,994 797,991 1,329,985 1,595,982 2,659,970 3,989,955 7,979,910

Collatz Trajectory (168 steps to reach 1)

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

7,979,910 3,989,955 11,969,866 5,984,933 17,954,800 8,977,400 4,488,700 2,244,350 1,122,175 3,366,526 1,683,263 5,049,790 2,524,895 7,574,686 3,787,343 11,362,030 5,681,015 17,043,046 8,521,523 25,564,570 12,782,285 38,346,856 19,173,428 9,586,714 4,793,357 14,380,072 7,190,036 3,595,018 1,797,509 5,392,528 2,696,264 1,348,132 674,066 337,033 1,011,100 505,550 252,775 758,326 379,163 1,137,490 568,745 1,706,236 853,118 426,559 1,279,678 639,839 1,919,518 959,759 2,879,278 1,439,639 4,318,918 2,159,459 6,478,378 3,239,189 9,717,568 4,858,784 2,429,392 1,214,696 607,348 303,674

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