5,309,060

2² × 5 × 31 × 8563

Starting at 5,309,060, the Collatz iteration reaches 1 after 95 steps. The first transition is 2654530; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 8563

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,510,016

Proper Divisor Sum 6,200,956

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #5309053 ← → #5309069

Radix Representation

Decimal	5309060
Binary	10100010000001010000100 (23 bits)
Octal	0o24201204
Hexadecimal	0x510284

Divisor Catalog (24)

1 2 4 5 10 20 31 62 124 155 310 620 8,563 17,126 34,252 42,815 85,630 171,260 265,453 530,906 1,061,812 1,327,265 2,654,530 5,309,060

Collatz Trajectory (95 steps to reach 1)

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

5,309,060 2,654,530 1,327,265 3,981,796 1,990,898 995,449 2,986,348 1,493,174 746,587 2,239,762 1,119,881 3,359,644 1,679,822 839,911 2,519,734 1,259,867 3,779,602 1,889,801 5,669,404 2,834,702 1,417,351 4,252,054 2,126,027 6,378,082 3,189,041 9,567,124 4,783,562 2,391,781 7,175,344 3,587,672 1,793,836 896,918 448,459 1,345,378 672,689 2,018,068 1,009,034 504,517 1,513,552 756,776 378,388 189,194 94,597 283,792 141,896 70,948 35,474 17,737 53,212 26,606 13,303 39,910 19,955 59,866 29,933 89,800 44,900 22,450 11,225 33,676

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