8,525,139

3 × 7 × 405959

Starting at 8,525,139, the Collatz iteration reaches 1 after 150 steps. The first transition is 25575418; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 405959

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,990,720

Proper Divisor Sum 4,465,581

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8525131 ← → #8525141

Radix Representation

Decimal	8525139
Binary	100000100001010101010011 (24 bits)
Octal	0o40412523
Hexadecimal	0x821553

Divisor Catalog (8)

1 3 7 21 405,959 1,217,877 2,841,713 8,525,139

Collatz Trajectory (150 steps to reach 1)

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

8,525,139 25,575,418 12,787,709 38,363,128 19,181,564 9,590,782 4,795,391 14,386,174 7,193,087 21,579,262 10,789,631 32,368,894 16,184,447 48,553,342 24,276,671 72,830,014 36,415,007 109,245,022 54,622,511 163,867,534 81,933,767 245,801,302 122,900,651 368,701,954 184,350,977 553,052,932 276,526,466 138,263,233 414,789,700 207,394,850 103,697,425 311,092,276 155,546,138 77,773,069 233,319,208 116,659,604 58,329,802 29,164,901 87,494,704 43,747,352 21,873,676 10,936,838 5,468,419 16,405,258 8,202,629 24,607,888 12,303,944 6,151,972 3,075,986 1,537,993 4,613,980 2,306,990 1,153,495 3,460,486 1,730,243 5,190,730 2,595,365 7,786,096 3,893,048 1,946,524

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