λ
Harmonic Matrix

5,056,572

22 × 3 × 421381
Abundant Even Composite

5,056,572 has digital root 3. The neighboring primes are 5056567 and 5056577; its proper-divisor sum differs from the starting integer by 1,685,552.

Prime Factor Structure

Factorization String 2^2 × 3 × 421381
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,798,696
Proper Divisor Sum 6,742,124
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5056567 ← → #5056577

Radix Representation

Decimal 5056572
Binary 10011010010100000111100 (23 bits)
Octal 0o23224074
Hexadecimal 0x4D283C

Divisor Catalog (12)

1 2 3 4 6 12 421,381 842,762 1,264,143 1,685,524 2,528,286 5,056,572

Collatz Trajectory (144 steps to reach 1)

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

5,056,572 2,528,286 1,264,143 3,792,430 1,896,215 5,688,646 2,844,323 8,532,970 4,266,485 12,799,456 6,399,728 3,199,864 1,599,932 799,966 399,983 1,199,950 599,975 1,799,926 899,963 2,699,890 1,349,945 4,049,836 2,024,918 1,012,459 3,037,378 1,518,689 4,556,068 2,278,034 1,139,017 3,417,052 1,708,526 854,263 2,562,790 1,281,395 3,844,186 1,922,093 5,766,280 2,883,140 1,441,570 720,785 2,162,356 1,081,178 540,589 1,621,768 810,884 405,442 202,721 608,164 304,082 152,041 456,124 228,062 114,031 342,094 171,047 513,142 256,571 769,714 384,857 1,154,572

More profiles

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