5,609,865

3 × 5 × 61 × 6131

Starting at 5,609,865, the Collatz iteration reaches 1 after 131 steps. The first transition is 16829596; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 61 × 6131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,124,416

Proper Divisor Sum 3,514,551

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5609839 ← → #5609867

Radix Representation

Decimal	5609865
Binary	10101011001100110001001 (23 bits)
Octal	0o25314611
Hexadecimal	0x559989

Divisor Catalog (16)

1 3 5 15 61 183 305 915 6,131 18,393 30,655 91,965 373,991 1,121,973 1,869,955 5,609,865

Collatz Trajectory (131 steps to reach 1)

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

5,609,865 16,829,596 8,414,798 4,207,399 12,622,198 6,311,099 18,933,298 9,466,649 28,399,948 14,199,974 7,099,987 21,299,962 10,649,981 31,949,944 15,974,972 7,987,486 3,993,743 11,981,230 5,990,615 17,971,846 8,985,923 26,957,770 13,478,885 40,436,656 20,218,328 10,109,164 5,054,582 2,527,291 7,581,874 3,790,937 11,372,812 5,686,406 2,843,203 8,529,610 4,264,805 12,794,416 6,397,208 3,198,604 1,599,302 799,651 2,398,954 1,199,477 3,598,432 1,799,216 899,608 449,804 224,902 112,451 337,354 168,677 506,032 253,016 126,508 63,254 31,627 94,882 47,441 142,324 71,162 35,581

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