9,252,725

5² × 31 × 11939

Starting at 9,252,725, the Collatz iteration reaches 1 after 238 steps. The first transition is 27758176; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 31 × 11939

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,844,480

Proper Divisor Sum 2,591,755

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9252721 ← → #9252773

Radix Representation

Decimal	9252725
Binary	100011010010111101110101 (24 bits)
Octal	0o43227565
Hexadecimal	0x8D2F75

Divisor Catalog (12)

1 5 25 31 155 775 11,939 59,695 298,475 370,109 1,850,545 9,252,725

Collatz Trajectory (238 steps to reach 1)

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

9,252,725 27,758,176 13,879,088 6,939,544 3,469,772 1,734,886 867,443 2,602,330 1,301,165 3,903,496 1,951,748 975,874 487,937 1,463,812 731,906 365,953 1,097,860 548,930 274,465 823,396 411,698 205,849 617,548 308,774 154,387 463,162 231,581 694,744 347,372 173,686 86,843 260,530 130,265 390,796 195,398 97,699 293,098 146,549 439,648 219,824 109,912 54,956 27,478 13,739 41,218 20,609 61,828 30,914 15,457 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696

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