8,516,100

2² × 3 × 5² × 28387

Starting at 8,516,100, the Collatz iteration reaches 1 after 98 steps. The first transition is 4258050; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 28387

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 24,640,784

Proper Divisor Sum 16,124,684

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8516083 ← → #8516153

Radix Representation

Decimal	8516100
Binary	100000011111001000000100 (24 bits)
Octal	0o40371004
Hexadecimal	0x81F204

Divisor Catalog (36)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 28,387 56,774 85,161 113,548 141,935 170,322 283,870 340,644 425,805 567,740 709,675 851,610 1,419,350 1,703,220 2,129,025 2,838,700 4,258,050 8,516,100

Collatz Trajectory (98 steps to reach 1)

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

8,516,100 4,258,050 2,129,025 6,387,076 3,193,538 1,596,769 4,790,308 2,395,154 1,197,577 3,592,732 1,796,366 898,183 2,694,550 1,347,275 4,041,826 2,020,913 6,062,740 3,031,370 1,515,685 4,547,056 2,273,528 1,136,764 568,382 284,191 852,574 426,287 1,278,862 639,431 1,918,294 959,147 2,877,442 1,438,721 4,316,164 2,158,082 1,079,041 3,237,124 1,618,562 809,281 2,427,844 1,213,922 606,961 1,820,884 910,442 455,221 1,365,664 682,832 341,416 170,708 85,354 42,677 128,032 64,016 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004

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