λ
Sequence Observatory

5,897,982

2 × 3 × 23 × 79 × 541
Abundant Even Composite

Starting at 5,897,982, the Collatz iteration reaches 1 after 170 steps. The first transition is 2948991; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 79 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,487,680
Proper Divisor Sum 6,589,698
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #5897981 ← → #5897989

Radix Representation

Decimal 5897982
Binary 10110011111111011111110 (23 bits)
Octal 0o26377376
Hexadecimal 0x59FEFE

Divisor Catalog (32)

1 2 3 6 23 46 69 79 138 158 237 474 541 1,082 1,623 1,817 3,246 3,634 5,451 10,902 12,443 24,886 37,329 42,739 74,658 85,478 128,217 256,434 982,997 1,965,994 2,948,991 5,897,982

Collatz Trajectory (170 steps to reach 1)

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

5,897,982 2,948,991 8,846,974 4,423,487 13,270,462 6,635,231 19,905,694 9,952,847 29,858,542 14,929,271 44,787,814 22,393,907 67,181,722 33,590,861 100,772,584 50,386,292 25,193,146 12,596,573 37,789,720 18,894,860 9,447,430 4,723,715 14,171,146 7,085,573 21,256,720 10,628,360 5,314,180 2,657,090 1,328,545 3,985,636 1,992,818 996,409 2,989,228 1,494,614 747,307 2,241,922 1,120,961 3,362,884 1,681,442 840,721 2,522,164 1,261,082 630,541 1,891,624 945,812 472,906 236,453 709,360 354,680 177,340 88,670 44,335 133,006 66,503 199,510 99,755 299,266 149,633 448,900 224,450

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