λ
Harmonic Matrix

5,018,022

2 × 32 × 149 × 1871
Abundant Even Composite

5,018,022 has digital root 9. The neighboring primes are 5018017 and 5018023; its proper-divisor sum differs from the starting integer by 915,156.

Prime Factor Structure

Factorization String 2 × 3^2 × 149 × 1871
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,951,200
Proper Divisor Sum 5,933,178
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5018017 ← → #5018023

Radix Representation

Decimal 5018022
Binary 10011001001000110100110 (23 bits)
Octal 0o23110646
Hexadecimal 0x4C91A6

Divisor Catalog (24)

1 2 3 6 9 18 149 298 447 894 1,341 1,871 2,682 3,742 5,613 11,226 16,839 33,678 278,779 557,558 836,337 1,672,674 2,509,011 5,018,022

Collatz Trajectory (157 steps to reach 1)

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

5,018,022 2,509,011 7,527,034 3,763,517 11,290,552 5,645,276 2,822,638 1,411,319 4,233,958 2,116,979 6,350,938 3,175,469 9,526,408 4,763,204 2,381,602 1,190,801 3,572,404 1,786,202 893,101 2,679,304 1,339,652 669,826 334,913 1,004,740 502,370 251,185 753,556 376,778 188,389 565,168 282,584 141,292 70,646 35,323 105,970 52,985 158,956 79,478 39,739 119,218 59,609 178,828 89,414 44,707 134,122 67,061 201,184 100,592 50,296 25,148 12,574 6,287 18,862 9,431 28,294 14,147 42,442 21,221 63,664 31,832

More profiles

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