λ
Harmonic Matrix

2,807,974

2 × 13 × 107999
Deficient Even Composite

2,807,974 has digital root 1. The neighboring primes are 2807971 and 2807977; its proper-divisor sum differs from the starting integer by -1,079,948.

Prime Factor Structure

Factorization String 2 × 13 × 107999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,536,000
Proper Divisor Sum 1,728,026
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2807971 ← → #2807977

Radix Representation

Decimal 2807974
Binary 1010101101100010100110 (22 bits)
Octal 0o12554246
Hexadecimal 0x2AD8A6

Divisor Catalog (8)

1 2 13 26 107,999 215,998 1,403,987 2,807,974

Collatz Trajectory (130 steps to reach 1)

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

2,807,974 1,403,987 4,211,962 2,105,981 6,317,944 3,158,972 1,579,486 789,743 2,369,230 1,184,615 3,553,846 1,776,923 5,330,770 2,665,385 7,996,156 3,998,078 1,999,039 5,997,118 2,998,559 8,995,678 4,497,839 13,493,518 6,746,759 20,240,278 10,120,139 30,360,418 15,180,209 45,540,628 22,770,314 11,385,157 34,155,472 17,077,736 8,538,868 4,269,434 2,134,717 6,404,152 3,202,076 1,601,038 800,519 2,401,558 1,200,779 3,602,338 1,801,169 5,403,508 2,701,754 1,350,877 4,052,632 2,026,316 1,013,158 506,579 1,519,738 759,869 2,279,608 1,139,804 569,902 284,951 854,854 427,427 1,282,282 641,141

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