λ
Harmonic Matrix

5,960,780

22 × 5 × 7 × 42577
Abundant Even Composite

5,960,780 has digital root 8. The neighboring primes are 5960777 and 5960791; its proper-divisor sum differs from the starting integer by 2,384,648.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 42577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,306,208
Proper Divisor Sum 8,345,428
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5960777 ← → #5960791

Radix Representation

Decimal 5960780
Binary 10110101111010001001100 (23 bits)
Octal 0o26572114
Hexadecimal 0x5AF44C

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 42,577 85,154 170,308 212,885 298,039 425,770 596,078 851,540 1,192,156 1,490,195 2,980,390 5,960,780

Collatz Trajectory (214 steps to reach 1)

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

5,960,780 2,980,390 1,490,195 4,470,586 2,235,293 6,705,880 3,352,940 1,676,470 838,235 2,514,706 1,257,353 3,772,060 1,886,030 943,015 2,829,046 1,414,523 4,243,570 2,121,785 6,365,356 3,182,678 1,591,339 4,774,018 2,387,009 7,161,028 3,580,514 1,790,257 5,370,772 2,685,386 1,342,693 4,028,080 2,014,040 1,007,020 503,510 251,755 755,266 377,633 1,132,900 566,450 283,225 849,676 424,838 212,419 637,258 318,629 955,888 477,944 238,972 119,486 59,743 179,230 89,615 268,846 134,423 403,270 201,635 604,906 302,453 907,360 453,680 226,840

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