λ
Harmonic Matrix

7,181,124

22 × 3 × 598427
Abundant Even Composite

7,181,124 has digital root 6. The neighboring primes are 7181113 and 7181131; its proper-divisor sum differs from the starting integer by 2,393,736.

Prime Factor Structure

Factorization String 2^2 × 3 × 598427
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,755,984
Proper Divisor Sum 9,574,860
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7181113 ← → #7181131

Radix Representation

Decimal 7181124
Binary 11011011001001101000100 (23 bits)
Octal 0o33311504
Hexadecimal 0x6D9344

Divisor Catalog (12)

1 2 3 4 6 12 598,427 1,196,854 1,795,281 2,393,708 3,590,562 7,181,124

Collatz Trajectory (235 steps to reach 1)

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

7,181,124 3,590,562 1,795,281 5,385,844 2,692,922 1,346,461 4,039,384 2,019,692 1,009,846 504,923 1,514,770 757,385 2,272,156 1,136,078 568,039 1,704,118 852,059 2,556,178 1,278,089 3,834,268 1,917,134 958,567 2,875,702 1,437,851 4,313,554 2,156,777 6,470,332 3,235,166 1,617,583 4,852,750 2,426,375 7,279,126 3,639,563 10,918,690 5,459,345 16,378,036 8,189,018 4,094,509 12,283,528 6,141,764 3,070,882 1,535,441 4,606,324 2,303,162 1,151,581 3,454,744 1,727,372 863,686 431,843 1,295,530 647,765 1,943,296 971,648 485,824 242,912 121,456 60,728 30,364 15,182 7,591

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