λ
Harmonic Matrix

5,162,130

2 × 34 × 5 × 6373
Abundant Even Composite

5,162,130 has digital root 9. The neighboring primes are 5162123 and 5162141; its proper-divisor sum differs from the starting integer by 3,558,312.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 6373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,882,572
Proper Divisor Sum 8,720,442
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5162123 ← → #5162141

Radix Representation

Decimal 5162130
Binary 10011101100010010010010 (23 bits)
Octal 0o23542222
Hexadecimal 0x4EC492

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 6,373 12,746 19,119 31,865 38,238 57,357 63,730 95,595 114,714 172,071 191,190 286,785 344,142 516,213 573,570 860,355 1,032,426 1,720,710 2,581,065 5,162,130

Collatz Trajectory (219 steps to reach 1)

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

5,162,130 2,581,065 7,743,196 3,871,598 1,935,799 5,807,398 2,903,699 8,711,098 4,355,549 13,066,648 6,533,324 3,266,662 1,633,331 4,899,994 2,449,997 7,349,992 3,674,996 1,837,498 918,749 2,756,248 1,378,124 689,062 344,531 1,033,594 516,797 1,550,392 775,196 387,598 193,799 581,398 290,699 872,098 436,049 1,308,148 654,074 327,037 981,112 490,556 245,278 122,639 367,918 183,959 551,878 275,939 827,818 413,909 1,241,728 620,864 310,432 155,216 77,608 38,804 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458

More profiles

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