λ
Harmonic Matrix

5,491,122

2 × 3 × 7 × 13 × 89 × 113
Abundant Even Composite

5,491,122 has digital root 6. The neighboring primes are 5491117 and 5491139; its proper-divisor sum differs from the starting integer by 2,807,196.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 89 × 113
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,789,440
Proper Divisor Sum 8,298,318
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5491117 ← → #5491139

Radix Representation

Decimal 5491122
Binary 10100111100100110110010 (23 bits)
Octal 0o24744662
Hexadecimal 0x53C9B2

Divisor Catalog (60 of 64)

1 2 3 6 7 13 14 21 26 39 42 78 89 91 113 178 182 226 267 273 339 534 546 623 678 791 1,157 1,246 1,469 1,582 1,869 2,314 2,373 2,938 3,471 3,738 4,407 4,746 6,942 8,099 8,814 10,057 10,283 16,198 20,114 20,566 24,297 30,171 30,849 48,594 60,342 61,698 70,399 130,741 140,798 211,197 261,482 392,223 422,394 784,446

Collatz Trajectory (108 steps to reach 1)

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

5,491,122 2,745,561 8,236,684 4,118,342 2,059,171 6,177,514 3,088,757 9,266,272 4,633,136 2,316,568 1,158,284 579,142 289,571 868,714 434,357 1,303,072 651,536 325,768 162,884 81,442 40,721 122,164 61,082 30,541 91,624 45,812 22,906 11,453 34,360 17,180 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812

More profiles

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