λ
Math Directory

9,734,789

967 × 10067
Deficient Odd Composite

9,734,789 factors as 967 × 10067. Its 4 positive divisors give a proper-divisor sum of 11,035, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 967 × 10067
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,745,824
Proper Divisor Sum 11,035
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9734729 ← → #9734797

Radix Representation

Decimal 9734789
Binary 100101001000101010000101 (24 bits)
Octal 0o45105205
Hexadecimal 0x948A85

Divisor Catalog (4)

1 967 10,067 9,734,789

Collatz Trajectory (114 steps to reach 1)

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

9,734,789 29,204,368 14,602,184 7,301,092 3,650,546 1,825,273 5,475,820 2,737,910 1,368,955 4,106,866 2,053,433 6,160,300 3,080,150 1,540,075 4,620,226 2,310,113 6,930,340 3,465,170 1,732,585 5,197,756 2,598,878 1,299,439 3,898,318 1,949,159 5,847,478 2,923,739 8,771,218 4,385,609 13,156,828 6,578,414 3,289,207 9,867,622 4,933,811 14,801,434 7,400,717 22,202,152 11,101,076 5,550,538 2,775,269 8,325,808 4,162,904 2,081,452 1,040,726 520,363 1,561,090 780,545 2,341,636 1,170,818 585,409 1,756,228 878,114 439,057 1,317,172 658,586 329,293 987,880 493,940 246,970 123,485 370,456

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