λ
Harmonic Matrix

6,560,824

23 × 47 × 17449
Deficient Even Composite

6,560,824 has digital root 4. The neighboring primes are 6560821 and 6560843; its proper-divisor sum differs from the starting integer by -557,648.

Prime Factor Structure

Factorization String 2^3 × 47 × 17449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,564,000
Proper Divisor Sum 6,003,176
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6560821 ← → #6560843

Radix Representation

Decimal 6560824
Binary 11001000001110000111000 (23 bits)
Octal 0o31016070
Hexadecimal 0x641C38

Divisor Catalog (16)

1 2 4 8 47 94 188 376 17,449 34,898 69,796 139,592 820,103 1,640,206 3,280,412 6,560,824

Collatz Trajectory (240 steps to reach 1)

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

6,560,824 3,280,412 1,640,206 820,103 2,460,310 1,230,155 3,690,466 1,845,233 5,535,700 2,767,850 1,383,925 4,151,776 2,075,888 1,037,944 518,972 259,486 129,743 389,230 194,615 583,846 291,923 875,770 437,885 1,313,656 656,828 328,414 164,207 492,622 246,311 738,934 369,467 1,108,402 554,201 1,662,604 831,302 415,651 1,246,954 623,477 1,870,432 935,216 467,608 233,804 116,902 58,451 175,354 87,677 263,032 131,516 65,758 32,879 98,638 49,319 147,958 73,979 221,938 110,969 332,908 166,454 83,227 249,682

More profiles

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