λ
Harmonic Matrix

1,675,780

22 × 5 × 23 × 3643
Abundant Even Composite

1,675,780 has digital root 7. The neighboring primes are 1675771 and 1675787; its proper-divisor sum differs from the starting integer by 321,592.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 3643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,673,152
Proper Divisor Sum 1,997,372
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1675771 ← → #1675787

Radix Representation

Decimal 1675780
Binary 110011001001000000100 (21 bits)
Octal 0o6311004
Hexadecimal 0x199204

Divisor Catalog (24)

1 2 4 5 10 20 23 46 92 115 230 460 3,643 7,286 14,572 18,215 36,430 72,860 83,789 167,578 335,156 418,945 837,890 1,675,780

Collatz Trajectory (114 steps to reach 1)

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

1,675,780 837,890 418,945 1,256,836 628,418 314,209 942,628 471,314 235,657 706,972 353,486 176,743 530,230 265,115 795,346 397,673 1,193,020 596,510 298,255 894,766 447,383 1,342,150 671,075 2,013,226 1,006,613 3,019,840 1,509,920 754,960 377,480 188,740 94,370 47,185 141,556 70,778 35,389 106,168 53,084 26,542 13,271 39,814 19,907 59,722 29,861 89,584 44,792 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631

More profiles

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