973,925

5² × 163 × 239

Starting at 973,925, the Collatz iteration reaches 1 after 320 steps. The first transition is 2921776; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 163 × 239

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,220,160

Proper Divisor Sum 246,235

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #973919 ← → #973957

Radix Representation

Decimal	973925
Binary	11101101110001100101 (20 bits)
Octal	0o3556145
Hexadecimal	0xEDC65

Divisor Catalog (12)

1 5 25 163 239 815 1,195 4,075 5,975 38,957 194,785 973,925

Collatz Trajectory (320 steps to reach 1)

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

973,925 2,921,776 1,460,888 730,444 365,222 182,611 547,834 273,917 821,752 410,876 205,438 102,719 308,158 154,079 462,238 231,119 693,358 346,679 1,040,038 520,019 1,560,058 780,029 2,340,088 1,170,044 585,022 292,511 877,534 438,767 1,316,302 658,151 1,974,454 987,227 2,961,682 1,480,841 4,442,524 2,221,262 1,110,631 3,331,894 1,665,947 4,997,842 2,498,921 7,496,764 3,748,382 1,874,191 5,622,574 2,811,287 8,433,862 4,216,931 12,650,794 6,325,397 18,976,192 9,488,096 4,744,048 2,372,024 1,186,012 593,006 296,503 889,510 444,755 1,334,266

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