λ
Harmonic Matrix

1,616,532

22 × 3 × 23 × 5857
Abundant Even Composite

1,616,532 has digital root 6. The neighboring primes are 1616519 and 1616533; its proper-divisor sum differs from the starting integer by 703,512.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 5857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,936,576
Proper Divisor Sum 2,320,044
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1616519 ← → #1616533

Radix Representation

Decimal 1616532
Binary 110001010101010010100 (21 bits)
Octal 0o6125224
Hexadecimal 0x18AA94

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 5,857 11,714 17,571 23,428 35,142 70,284 134,711 269,422 404,133 538,844 808,266 1,616,532

Collatz Trajectory (238 steps to reach 1)

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

1,616,532 808,266 404,133 1,212,400 606,200 303,100 151,550 75,775 227,326 113,663 340,990 170,495 511,486 255,743 767,230 383,615 1,150,846 575,423 1,726,270 863,135 2,589,406 1,294,703 3,884,110 1,942,055 5,826,166 2,913,083 8,739,250 4,369,625 13,108,876 6,554,438 3,277,219 9,831,658 4,915,829 14,747,488 7,373,744 3,686,872 1,843,436 921,718 460,859 1,382,578 691,289 2,073,868 1,036,934 518,467 1,555,402 777,701 2,333,104 1,166,552 583,276 291,638 145,819 437,458 218,729 656,188 328,094 164,047 492,142 246,071 738,214 369,107

More profiles

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