8,834,825

5² × 47 × 73 × 103

Starting at 8,834,825, the Collatz iteration reaches 1 after 93 steps. The first transition is 26504476; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 47 × 73 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,451,648

Proper Divisor Sum 2,616,823

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8834797 ← → #8834827

Radix Representation

Decimal	8834825
Binary	100001101100111100001001 (24 bits)
Octal	0o41547411
Hexadecimal	0x86CF09

Divisor Catalog (24)

1 5 25 47 73 103 235 365 515 1,175 1,825 2,575 3,431 4,841 7,519 17,155 24,205 37,595 85,775 121,025 187,975 353,393 1,766,965 8,834,825

Collatz Trajectory (93 steps to reach 1)

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

8,834,825 26,504,476 13,252,238 6,626,119 19,878,358 9,939,179 29,817,538 14,908,769 44,726,308 22,363,154 11,181,577 33,544,732 16,772,366 8,386,183 25,158,550 12,579,275 37,737,826 18,868,913 56,606,740 28,303,370 14,151,685 42,455,056 21,227,528 10,613,764 5,306,882 2,653,441 7,960,324 3,980,162 1,990,081 5,970,244 2,985,122 1,492,561 4,477,684 2,238,842 1,119,421 3,358,264 1,679,132 839,566 419,783 1,259,350 629,675 1,889,026 944,513 2,833,540 1,416,770 708,385 2,125,156 1,062,578 531,289 1,593,868 796,934 398,467 1,195,402 597,701 1,793,104 896,552 448,276 224,138 112,069 336,208

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