λ
Prime Ledger

9,731,549

67 × 337 × 431
Deficient Odd Composite

9,731,549 has the prime decomposition 67 × 337 × 431. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 67 × 337 × 431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,929,088
Proper Divisor Sum 197,539
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9731509 ← → #9731563

Radix Representation

Decimal 9731549
Binary 100101000111110111011101 (24 bits)
Octal 0o45076735
Hexadecimal 0x947DDD

Divisor Catalog (8)

1 67 337 431 22,579 28,877 145,247 9,731,549

Collatz Trajectory (88 steps to reach 1)

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

9,731,549 29,194,648 14,597,324 7,298,662 3,649,331 10,947,994 5,473,997 16,421,992 8,210,996 4,105,498 2,052,749 6,158,248 3,079,124 1,539,562 769,781 2,309,344 1,154,672 577,336 288,668 144,334 72,167 216,502 108,251 324,754 162,377 487,132 243,566 121,783 365,350 182,675 548,026 274,013 822,040 411,020 205,510 102,755 308,266 154,133 462,400 231,200 115,600 57,800 28,900 14,450 7,225 21,676 10,838 5,419 16,258 8,129 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430 1,715

More profiles

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