λ
Harmonic Matrix

2,704,646

2 × 7 × 193189
Deficient Even Composite

2,704,646 has digital root 2. The neighboring primes are 2704607 and 2704661; its proper-divisor sum differs from the starting integer by -772,732.

Prime Factor Structure

Factorization String 2 × 7 × 193189
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,636,560
Proper Divisor Sum 1,931,914
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2704607 ← → #2704661

Radix Representation

Decimal 2704646
Binary 1010010100010100000110 (22 bits)
Octal 0o12242406
Hexadecimal 0x294506

Divisor Catalog (8)

1 2 7 14 193,189 386,378 1,352,323 2,704,646

Collatz Trajectory (68 steps to reach 1)

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

2,704,646 1,352,323 4,056,970 2,028,485 6,085,456 3,042,728 1,521,364 760,682 380,341 1,141,024 570,512 285,256 142,628 71,314 35,657 106,972 53,486 26,743 80,230 40,115 120,346 60,173 180,520 90,260 45,130 22,565 67,696 33,848 16,924 8,462 4,231 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80

More profiles

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