λ
Prime Ledger

6,409,621

37 × 107 × 1619
Deficient Odd Composite

6,409,621 has the prime decomposition 37 × 107 × 1619. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 107 × 1619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,648,480
Proper Divisor Sum 238,859
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6409607 ← → #6409633

Radix Representation

Decimal 6409621
Binary 11000011100110110010101 (23 bits)
Octal 0o30346625
Hexadecimal 0x61CD95

Divisor Catalog (8)

1 37 107 1,619 3,959 59,903 173,233 6,409,621

Collatz Trajectory (121 steps to reach 1)

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

6,409,621 19,228,864 9,614,432 4,807,216 2,403,608 1,201,804 600,902 300,451 901,354 450,677 1,352,032 676,016 338,008 169,004 84,502 42,251 126,754 63,377 190,132 95,066 47,533 142,600 71,300 35,650 17,825 53,476 26,738 13,369 40,108 20,054 10,027 30,082 15,041 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346 3,173 9,520 4,760 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133

More profiles

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