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Atlas › Integer Profiles › Node 9,718,425

9,718,425

32 × 52 × 47 × 919
Deficient Odd Composite

9,718,425 factors as 3^2 × 5^2 × 47 × 919. Its 36 positive divisors give a proper-divisor sum of 8,078,055, so this integer is deficient. The Collatz stopping time is 344 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 47 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,796,480
Proper Divisor Sum 8,078,055
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9718391 ← → #9718427

Radix Representation

Decimal 9718425
Binary 100101000100101010011001 (24 bits)
Octal 0o45045231
Hexadecimal 0x944A99

Divisor Catalog (36)

1 3 5 9 15 25 45 47 75 141 225 235 423 705 919 1,175 2,115 2,757 3,525 4,595 8,271 10,575 13,785 22,975 41,355 43,193 68,925 129,579 206,775 215,965 388,737 647,895 1,079,825 1,943,685 3,239,475 9,718,425

Collatz Trajectory (344 steps to reach 1)

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

9,718,425 29,155,276 14,577,638 7,288,819 21,866,458 10,933,229 32,799,688 16,399,844 8,199,922 4,099,961 12,299,884 6,149,942 3,074,971 9,224,914 4,612,457 13,837,372 6,918,686 3,459,343 10,378,030 5,189,015 15,567,046 7,783,523 23,350,570 11,675,285 35,025,856 17,512,928 8,756,464 4,378,232 2,189,116 1,094,558 547,279 1,641,838 820,919 2,462,758 1,231,379 3,694,138 1,847,069 5,541,208 2,770,604 1,385,302 692,651 2,077,954 1,038,977 3,116,932 1,558,466 779,233 2,337,700 1,168,850 584,425 1,753,276 876,638 438,319 1,314,958 657,479 1,972,438 986,219 2,958,658 1,479,329 4,437,988 2,218,994

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