λ
Harmonic Matrix

5,598,558

2 × 34 × 7 × 4937
Abundant Even Composite

5,598,558 has digital root 9. The neighboring primes are 5598553 and 5598577; its proper-divisor sum differs from the starting integer by 3,142,836.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 4937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,339,952
Proper Divisor Sum 8,741,394
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5598553 ← → #5598577

Radix Representation

Decimal 5598558
Binary 10101010110110101011110 (23 bits)
Octal 0o25266536
Hexadecimal 0x556D5E

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 4,937 9,874 14,811 29,622 34,559 44,433 69,118 88,866 103,677 133,299 207,354 266,598 311,031 399,897 622,062 799,794 933,093 1,866,186 2,799,279 5,598,558

Collatz Trajectory (157 steps to reach 1)

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

5,598,558 2,799,279 8,397,838 4,198,919 12,596,758 6,298,379 18,895,138 9,447,569 28,342,708 14,171,354 7,085,677 21,257,032 10,628,516 5,314,258 2,657,129 7,971,388 3,985,694 1,992,847 5,978,542 2,989,271 8,967,814 4,483,907 13,451,722 6,725,861 20,177,584 10,088,792 5,044,396 2,522,198 1,261,099 3,783,298 1,891,649 5,674,948 2,837,474 1,418,737 4,256,212 2,128,106 1,064,053 3,192,160 1,596,080 798,040 399,020 199,510 99,755 299,266 149,633 448,900 224,450 112,225 336,676 168,338 84,169 252,508 126,254 63,127 189,382 94,691 284,074 142,037 426,112 213,056

More profiles

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