λ
Harmonic Matrix

2,123,677

41 × 51797
Deficient Odd Composite

2,123,677 has digital root 1. The neighboring primes are 2123669 and 2123683; its proper-divisor sum differs from the starting integer by -2,071,838.

Prime Factor Structure

Factorization String 41 × 51797
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,175,516
Proper Divisor Sum 51,839
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2123669 ← → #2123683

Radix Representation

Decimal 2123677
Binary 1000000110011110011101 (22 bits)
Octal 0o10063635
Hexadecimal 0x20679D

Divisor Catalog (4)

1 41 51,797 2,123,677

Collatz Trajectory (166 steps to reach 1)

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

2,123,677 6,371,032 3,185,516 1,592,758 796,379 2,389,138 1,194,569 3,583,708 1,791,854 895,927 2,687,782 1,343,891 4,031,674 2,015,837 6,047,512 3,023,756 1,511,878 755,939 2,267,818 1,133,909 3,401,728 1,700,864 850,432 425,216 212,608 106,304 53,152 26,576 13,288 6,644 3,322 1,661 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376

More profiles

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