λ
Harmonic Matrix

1,596,744

23 × 32 × 67 × 331
Abundant Even Composite

1,596,744 has digital root 9. The neighboring primes are 1596743 and 1596767; its proper-divisor sum differs from the starting integer by 1,208,832.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 67 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,402,320
Proper Divisor Sum 2,805,576
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1596743 ← → #1596767

Radix Representation

Decimal 1596744
Binary 110000101110101001000 (21 bits)
Octal 0o6056510
Hexadecimal 0x185D48

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 331 402 536 603 662 804 993 1,206 1,324 1,608 1,986 2,412 2,648 2,979 3,972 4,824 5,958 7,944 11,916 22,177 23,832 44,354 66,531 88,708 133,062 177,416 199,593 266,124 399,186 532,248 798,372 1,596,744

Collatz Trajectory (194 steps to reach 1)

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

1,596,744 798,372 399,186 199,593 598,780 299,390 149,695 449,086 224,543 673,630 336,815 1,010,446 505,223 1,515,670 757,835 2,273,506 1,136,753 3,410,260 1,705,130 852,565 2,557,696 1,278,848 639,424 319,712 159,856 79,928 39,964 19,982 9,991 29,974 14,987 44,962 22,481 67,444 33,722 16,861 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691

More profiles

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