λ
Prime Ledger

6,501,741

3 × 59 × 109 × 337
Deficient Odd Composite

6,501,741 has the prime decomposition 3 × 59 × 109 × 337. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 59 × 109 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,923,200
Proper Divisor Sum 2,421,459
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6501731 ← → #6501749

Radix Representation

Decimal 6501741
Binary 11000110011010101101101 (23 bits)
Octal 0o30632555
Hexadecimal 0x63356D

Divisor Catalog (16)

1 3 59 109 177 327 337 1,011 6,431 19,293 19,883 36,733 59,649 110,199 2,167,247 6,501,741

Collatz Trajectory (209 steps to reach 1)

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

6,501,741 19,505,224 9,752,612 4,876,306 2,438,153 7,314,460 3,657,230 1,828,615 5,485,846 2,742,923 8,228,770 4,114,385 12,343,156 6,171,578 3,085,789 9,257,368 4,628,684 2,314,342 1,157,171 3,471,514 1,735,757 5,207,272 2,603,636 1,301,818 650,909 1,952,728 976,364 488,182 244,091 732,274 366,137 1,098,412 549,206 274,603 823,810 411,905 1,235,716 617,858 308,929 926,788 463,394 231,697 695,092 347,546 173,773 521,320 260,660 130,330 65,165 195,496 97,748 48,874 24,437 73,312 36,656 18,328 9,164 4,582 2,291 6,874

More profiles

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