λ
Prime Ledger

7,767,413

617 × 12589
Deficient Odd Composite

7,767,413 has the prime decomposition 617 × 12589. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 617 × 12589
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,780,620
Proper Divisor Sum 13,207
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7767401 ← → #7767421

Radix Representation

Decimal 7767413
Binary 11101101000010101110101 (23 bits)
Octal 0o35502565
Hexadecimal 0x768575

Divisor Catalog (4)

1 617 12,589 7,767,413

Collatz Trajectory (93 steps to reach 1)

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

7,767,413 23,302,240 11,651,120 5,825,560 2,912,780 1,456,390 728,195 2,184,586 1,092,293 3,276,880 1,638,440 819,220 409,610 204,805 614,416 307,208 153,604 76,802 38,401 115,204 57,602 28,801 86,404 43,202 21,601 64,804 32,402 16,201 48,604 24,302 12,151 36,454 18,227 54,682 27,341 82,024 41,012 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229

More profiles

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