λ
Harmonic Matrix

6,130,940

22 × 5 × 43 × 7129
Abundant Even Composite

6,130,940 has digital root 5. The neighboring primes are 6130907 and 6130951; its proper-divisor sum differs from the starting integer by 914,360.

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 7129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,176,240
Proper Divisor Sum 7,045,300
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6130907 ← → #6130951

Radix Representation

Decimal 6130940
Binary 10111011000110011111100 (23 bits)
Octal 0o27306374
Hexadecimal 0x5D8CFC

Divisor Catalog (24)

1 2 4 5 10 20 43 86 172 215 430 860 7,129 14,258 28,516 35,645 71,290 142,580 306,547 613,094 1,226,188 1,532,735 3,065,470 6,130,940

Collatz Trajectory (183 steps to reach 1)

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

6,130,940 3,065,470 1,532,735 4,598,206 2,299,103 6,897,310 3,448,655 10,345,966 5,172,983 15,518,950 7,759,475 23,278,426 11,639,213 34,917,640 17,458,820 8,729,410 4,364,705 13,094,116 6,547,058 3,273,529 9,820,588 4,910,294 2,455,147 7,365,442 3,682,721 11,048,164 5,524,082 2,762,041 8,286,124 4,143,062 2,071,531 6,214,594 3,107,297 9,321,892 4,660,946 2,330,473 6,991,420 3,495,710 1,747,855 5,243,566 2,621,783 7,865,350 3,932,675 11,798,026 5,899,013 17,697,040 8,848,520 4,424,260 2,212,130 1,106,065 3,318,196 1,659,098 829,549 2,488,648 1,244,324 622,162 311,081 933,244 466,622 233,311

More profiles

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