9,943,914

2 × 3 × 73² × 311

Starting at 9,943,914, the Collatz iteration reaches 1 after 114 steps. The first transition is 4971957; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 73^2 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,228,832

Proper Divisor Sum 10,284,918

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9943907 ← → #9943943

Radix Representation

Decimal	9943914
Binary	100101111011101101101010 (24 bits)
Octal	0o45735552
Hexadecimal	0x97BB6A

Divisor Catalog (24)

1 2 3 6 73 146 219 311 438 622 933 1,866 5,329 10,658 15,987 22,703 31,974 45,406 68,109 136,218 1,657,319 3,314,638 4,971,957 9,943,914

Collatz Trajectory (114 steps to reach 1)

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

9,943,914 4,971,957 14,915,872 7,457,936 3,728,968 1,864,484 932,242 466,121 1,398,364 699,182 349,591 1,048,774 524,387 1,573,162 786,581 2,359,744 1,179,872 589,936 294,968 147,484 73,742 36,871 110,614 55,307 165,922 82,961 248,884 124,442 62,221 186,664 93,332 46,666 23,333 70,000 35,000 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528

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