λ
Harmonic Matrix

2,122,529

41 × 51769
Deficient Odd Composite

2,122,529 has digital root 5. The neighboring primes are 2122513 and 2122531; its proper-divisor sum differs from the starting integer by -2,070,718.

Prime Factor Structure

Factorization String 41 × 51769
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,174,340
Proper Divisor Sum 51,811
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2122513 ← → #2122531

Radix Representation

Decimal 2122529
Binary 1000000110001100100001 (22 bits)
Octal 0o10061441
Hexadecimal 0x206321

Divisor Catalog (4)

1 41 51,769 2,122,529

Collatz Trajectory (73 steps to reach 1)

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

2,122,529 6,367,588 3,183,794 1,591,897 4,775,692 2,387,846 1,193,923 3,581,770 1,790,885 5,372,656 2,686,328 1,343,164 671,582 335,791 1,007,374 503,687 1,511,062 755,531 2,266,594 1,133,297 3,399,892 1,699,946 849,973 2,549,920 1,274,960 637,480 318,740 159,370 79,685 239,056 119,528 59,764 29,882 14,941 44,824 22,412 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11

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