9,895,417

7 × 31² × 1471

Starting at 9,895,417, the Collatz iteration reaches 1 after 189 steps. The first transition is 29686252; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7 × 31^2 × 1471

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,693,568

Proper Divisor Sum 1,798,151

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9895397 ← → #9895429

Radix Representation

Decimal	9895417
Binary	100101101111110111111001 (24 bits)
Octal	0o45576771
Hexadecimal	0x96FDF9

Divisor Catalog (12)

1 7 31 217 961 1,471 6,727 10,297 45,601 319,207 1,413,631 9,895,417

Collatz Trajectory (189 steps to reach 1)

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

9,895,417 29,686,252 14,843,126 7,421,563 22,264,690 11,132,345 33,397,036 16,698,518 8,349,259 25,047,778 12,523,889 37,571,668 18,785,834 9,392,917 28,178,752 14,089,376 7,044,688 3,522,344 1,761,172 880,586 440,293 1,320,880 660,440 330,220 165,110 82,555 247,666 123,833 371,500 185,750 92,875 278,626 139,313 417,940 208,970 104,485 313,456 156,728 78,364 39,182 19,591 58,774 29,387 88,162 44,081 132,244 66,122 33,061 99,184 49,592 24,796 12,398 6,199 18,598 9,299 27,898 13,949 41,848 20,924 10,462

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