8,035,825

5² × 7 × 47 × 977

Starting at 8,035,825, the Collatz iteration reaches 1 after 261 steps. The first transition is 24107476; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 47 × 977

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,642,112

Proper Divisor Sum 3,606,287

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8035823 ← → #8035829

Radix Representation

Decimal	8035825
Binary	11110101001110111110001 (23 bits)
Octal	0o36516761
Hexadecimal	0x7A9DF1

Divisor Catalog (24)

1 5 7 25 35 47 175 235 329 977 1,175 1,645 4,885 6,839 8,225 24,425 34,195 45,919 170,975 229,595 321,433 1,147,975 1,607,165 8,035,825

Collatz Trajectory (261 steps to reach 1)

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

8,035,825 24,107,476 12,053,738 6,026,869 18,080,608 9,040,304 4,520,152 2,260,076 1,130,038 565,019 1,695,058 847,529 2,542,588 1,271,294 635,647 1,906,942 953,471 2,860,414 1,430,207 4,290,622 2,145,311 6,435,934 3,217,967 9,653,902 4,826,951 14,480,854 7,240,427 21,721,282 10,860,641 32,581,924 16,290,962 8,145,481 24,436,444 12,218,222 6,109,111 18,327,334 9,163,667 27,491,002 13,745,501 41,236,504 20,618,252 10,309,126 5,154,563 15,463,690 7,731,845 23,195,536 11,597,768 5,798,884 2,899,442 1,449,721 4,349,164 2,174,582 1,087,291 3,261,874 1,630,937 4,892,812 2,446,406 1,223,203 3,669,610 1,834,805

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