λ
Harmonic Matrix

5,181,240

23 × 3 × 5 × 43177
Abundant Even Composite

5,181,240 has digital root 3. The neighboring primes are 5181223 and 5181251; its proper-divisor sum differs from the starting integer by 5,181,600.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 43177
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,544,080
Proper Divisor Sum 10,362,840
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5181223 ← → #5181251

Radix Representation

Decimal 5181240
Binary 10011110000111100111000 (23 bits)
Octal 0o23607470
Hexadecimal 0x4F0F38

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 43,177 86,354 129,531 172,708 215,885 259,062 345,416 431,770 518,124 647,655 863,540 1,036,248 1,295,310 1,727,080 2,590,620 5,181,240

Collatz Trajectory (294 steps to reach 1)

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

5,181,240 2,590,620 1,295,310 647,655 1,942,966 971,483 2,914,450 1,457,225 4,371,676 2,185,838 1,092,919 3,278,758 1,639,379 4,918,138 2,459,069 7,377,208 3,688,604 1,844,302 922,151 2,766,454 1,383,227 4,149,682 2,074,841 6,224,524 3,112,262 1,556,131 4,668,394 2,334,197 7,002,592 3,501,296 1,750,648 875,324 437,662 218,831 656,494 328,247 984,742 492,371 1,477,114 738,557 2,215,672 1,107,836 553,918 276,959 830,878 415,439 1,246,318 623,159 1,869,478 934,739 2,804,218 1,402,109 4,206,328 2,103,164 1,051,582 525,791 1,577,374 788,687 2,366,062 1,183,031

More profiles

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