λ
Prime Ledger

9,731,075

52 × 269 × 1447
Deficient Odd Composite

9,731,075 has the prime decomposition 5^2 × 269 × 1447. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 269 × 1447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,119,760
Proper Divisor Sum 2,388,685
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9731053 ← → #9731081

Radix Representation

Decimal 9731075
Binary 100101000111110000000011 (24 bits)
Octal 0o45076003
Hexadecimal 0x947C03

Divisor Catalog (12)

1 5 25 269 1,345 1,447 6,725 7,235 36,175 389,243 1,946,215 9,731,075

Collatz Trajectory (181 steps to reach 1)

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

9,731,075 29,193,226 14,596,613 43,789,840 21,894,920 10,947,460 5,473,730 2,736,865 8,210,596 4,105,298 2,052,649 6,157,948 3,078,974 1,539,487 4,618,462 2,309,231 6,927,694 3,463,847 10,391,542 5,195,771 15,587,314 7,793,657 23,380,972 11,690,486 5,845,243 17,535,730 8,767,865 26,303,596 13,151,798 6,575,899 19,727,698 9,863,849 29,591,548 14,795,774 7,397,887 22,193,662 11,096,831 33,290,494 16,645,247 49,935,742 24,967,871 74,903,614 37,451,807 112,355,422 56,177,711 168,533,134 84,266,567 252,799,702 126,399,851 379,199,554 189,599,777 568,799,332 284,399,666 142,199,833 426,599,500 213,299,750 106,649,875 319,949,626 159,974,813 479,924,440

More profiles

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