λ
Harmonic Matrix

2,629,522

2 × 7 × 187823
Deficient Even Composite

2,629,522 has digital root 1. The neighboring primes are 2629519 and 2629537; its proper-divisor sum differs from the starting integer by -751,268.

Prime Factor Structure

Factorization String 2 × 7 × 187823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,507,776
Proper Divisor Sum 1,878,254
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2629519 ← → #2629537

Radix Representation

Decimal 2629522
Binary 1010000001111110010010 (22 bits)
Octal 0o12017622
Hexadecimal 0x281F92

Divisor Catalog (8)

1 2 7 14 187,823 375,646 1,314,761 2,629,522

Collatz Trajectory (262 steps to reach 1)

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

2,629,522 1,314,761 3,944,284 1,972,142 986,071 2,958,214 1,479,107 4,437,322 2,218,661 6,655,984 3,327,992 1,663,996 831,998 415,999 1,247,998 623,999 1,871,998 935,999 2,807,998 1,403,999 4,211,998 2,105,999 6,317,998 3,158,999 9,476,998 4,738,499 14,215,498 7,107,749 21,323,248 10,661,624 5,330,812 2,665,406 1,332,703 3,998,110 1,999,055 5,997,166 2,998,583 8,995,750 4,497,875 13,493,626 6,746,813 20,240,440 10,120,220 5,060,110 2,530,055 7,590,166 3,795,083 11,385,250 5,692,625 17,077,876 8,538,938 4,269,469 12,808,408 6,404,204 3,202,102 1,601,051 4,803,154 2,401,577 7,204,732 3,602,366

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