λ
Harmonic Matrix

2,653,978

2 × 1326989
Deficient Even Composite

2,653,978 has digital root 4. The neighboring primes are 2653969 and 2653979; its proper-divisor sum differs from the starting integer by -1,326,986.

Prime Factor Structure

Factorization String 2 × 1326989
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,980,970
Proper Divisor Sum 1,326,992
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2653969 ← → #2653979

Radix Representation

Decimal 2653978
Binary 1010000111111100011010 (22 bits)
Octal 0o12077432
Hexadecimal 0x287F1A

Divisor Catalog (4)

1 2 1,326,989 2,653,978

Collatz Trajectory (63 steps to reach 1)

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

2,653,978 1,326,989 3,980,968 1,990,484 995,242 497,621 1,492,864 746,432 373,216 186,608 93,304 46,652 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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