752,925

3 × 5² × 10039

Starting at 752,925, the Collatz iteration reaches 1 after 87 steps. The first transition is 2258776; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 10039

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,244,960

Proper Divisor Sum 492,035

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #752911 ← → #752929

Radix Representation

Decimal	752925
Binary	10110111110100011101 (20 bits)
Octal	0o2676435
Hexadecimal	0xB7D1D

Divisor Catalog (12)

1 3 5 15 25 75 10,039 30,117 50,195 150,585 250,975 752,925

Collatz Trajectory (87 steps to reach 1)

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

752,925 2,258,776 1,129,388 564,694 282,347 847,042 423,521 1,270,564 635,282 317,641 952,924 476,462 238,231 714,694 357,347 1,072,042 536,021 1,608,064 804,032 402,016 201,008 100,504 50,252 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134

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