λ
Harmonic Matrix

2,734,985

5 × 11 × 49727
Deficient Odd Composite

2,734,985 has digital root 2. The neighboring primes are 2734981 and 2735009; its proper-divisor sum differs from the starting integer by -1,889,554.

Prime Factor Structure

Factorization String 5 × 11 × 49727
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,580,416
Proper Divisor Sum 845,431
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2734981 ← → #2735009

Radix Representation

Decimal 2734985
Binary 1010011011101110001001 (22 bits)
Octal 0o12335611
Hexadecimal 0x29BB89

Divisor Catalog (8)

1 5 11 55 49,727 248,635 546,997 2,734,985

Collatz Trajectory (81 steps to reach 1)

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

2,734,985 8,204,956 4,102,478 2,051,239 6,153,718 3,076,859 9,230,578 4,615,289 13,845,868 6,922,934 3,461,467 10,384,402 5,192,201 15,576,604 7,788,302 3,894,151 11,682,454 5,841,227 17,523,682 8,761,841 26,285,524 13,142,762 6,571,381 19,714,144 9,857,072 4,928,536 2,464,268 1,232,134 616,067 1,848,202 924,101 2,772,304 1,386,152 693,076 346,538 173,269 519,808 259,904 129,952 64,976 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896

More profiles

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