λ
Prime Ledger

6,401,037

3 × 37 × 57667
Deficient Odd Composite

6,401,037 has the prime decomposition 3 × 37 × 57667. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 57667
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,765,536
Proper Divisor Sum 2,364,499
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6401033 ← → #6401069

Radix Representation

Decimal 6401037
Binary 11000011010110000001101 (23 bits)
Octal 0o30326015
Hexadecimal 0x61AC0D

Divisor Catalog (8)

1 3 37 111 57,667 173,001 2,133,679 6,401,037

Collatz Trajectory (95 steps to reach 1)

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

6,401,037 19,203,112 9,601,556 4,800,778 2,400,389 7,201,168 3,600,584 1,800,292 900,146 450,073 1,350,220 675,110 337,555 1,012,666 506,333 1,519,000 759,500 379,750 189,875 569,626 284,813 854,440 427,220 213,610 106,805 320,416 160,208 80,104 40,052 20,026 10,013 30,040 15,020 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129

More profiles

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