λ
Harmonic Matrix

3,341,978

2 × 137 × 12197
Deficient Even Composite

3,341,978 has digital root 8. The neighboring primes are 3341971 and 3341993; its proper-divisor sum differs from the starting integer by -1,633,984.

Prime Factor Structure

Factorization String 2 × 137 × 12197
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,049,972
Proper Divisor Sum 1,707,994
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3341971 ← → #3341993

Radix Representation

Decimal 3341978
Binary 1100101111111010011010 (22 bits)
Octal 0o14577232
Hexadecimal 0x32FE9A

Divisor Catalog (8)

1 2 137 274 12,197 24,394 1,670,989 3,341,978

Collatz Trajectory (84 steps to reach 1)

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

3,341,978 1,670,989 5,012,968 2,506,484 1,253,242 626,621 1,879,864 939,932 469,966 234,983 704,950 352,475 1,057,426 528,713 1,586,140 793,070 396,535 1,189,606 594,803 1,784,410 892,205 2,676,616 1,338,308 669,154 334,577 1,003,732 501,866 250,933 752,800 376,400 188,200 94,100 47,050 23,525 70,576 35,288 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592

More profiles

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