λ
Prime Ledger

3,482,950

2 × 52 × 41 × 1699
Deficient Even Composite

3,482,950 has the prime decomposition 2 × 5^2 × 41 × 1699. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 41 × 1699
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,640,200
Proper Divisor Sum 3,157,250
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3482939 ← → #3482953

Radix Representation

Decimal 3482950
Binary 1101010010010101000110 (22 bits)
Octal 0o15222506
Hexadecimal 0x352546

Divisor Catalog (24)

1 2 5 10 25 41 50 82 205 410 1,025 1,699 2,050 3,398 8,495 16,990 42,475 69,659 84,950 139,318 348,295 696,590 1,741,475 3,482,950

Collatz Trajectory (234 steps to reach 1)

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

3,482,950 1,741,475 5,224,426 2,612,213 7,836,640 3,918,320 1,959,160 979,580 489,790 244,895 734,686 367,343 1,102,030 551,015 1,653,046 826,523 2,479,570 1,239,785 3,719,356 1,859,678 929,839 2,789,518 1,394,759 4,184,278 2,092,139 6,276,418 3,138,209 9,414,628 4,707,314 2,353,657 7,060,972 3,530,486 1,765,243 5,295,730 2,647,865 7,943,596 3,971,798 1,985,899 5,957,698 2,978,849 8,936,548 4,468,274 2,234,137 6,702,412 3,351,206 1,675,603 5,026,810 2,513,405 7,540,216 3,770,108 1,885,054 942,527 2,827,582 1,413,791 4,241,374 2,120,687 6,362,062 3,181,031 9,543,094 4,771,547

More profiles

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