λ
Prime Ledger

3,390,782

2 × 41 × 41351
Deficient Even Composite

3,390,782 has the prime decomposition 2 × 41 × 41351. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 41 × 41351
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,210,352
Proper Divisor Sum 1,819,570
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3390763 ← → #3390787

Radix Representation

Decimal 3390782
Binary 1100111011110100111110 (22 bits)
Octal 0o14736476
Hexadecimal 0x33BD3E

Divisor Catalog (8)

1 2 41 82 41,351 82,702 1,695,391 3,390,782

Collatz Trajectory (159 steps to reach 1)

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

3,390,782 1,695,391 5,086,174 2,543,087 7,629,262 3,814,631 11,443,894 5,721,947 17,165,842 8,582,921 25,748,764 12,874,382 6,437,191 19,311,574 9,655,787 28,967,362 14,483,681 43,451,044 21,725,522 10,862,761 32,588,284 16,294,142 8,147,071 24,441,214 12,220,607 36,661,822 18,330,911 54,992,734 27,496,367 82,489,102 41,244,551 123,733,654 61,866,827 185,600,482 92,800,241 278,400,724 139,200,362 69,600,181 208,800,544 104,400,272 52,200,136 26,100,068 13,050,034 6,525,017 19,575,052 9,787,526 4,893,763 14,681,290 7,340,645 22,021,936 11,010,968 5,505,484 2,752,742 1,376,371 4,129,114 2,064,557 6,193,672 3,096,836 1,548,418 774,209

More profiles

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