3,722,260

2² × 5 × 186113

Starting at 3,722,260, the Collatz iteration reaches 1 after 66 steps. The first transition is 1861130; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 186113

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,816,788

Proper Divisor Sum 4,094,528

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3722249 ← → #3722273

Radix Representation

Decimal	3722260
Binary	1110001100110000010100 (22 bits)
Octal	0o16146024
Hexadecimal	0x38CC14

Divisor Catalog (12)

1 2 4 5 10 20 186,113 372,226 744,452 930,565 1,861,130 3,722,260

Collatz Trajectory (66 steps to reach 1)

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

3,722,260 1,861,130 930,565 2,791,696 1,395,848 697,924 348,962 174,481 523,444 261,722 130,861 392,584 196,292 98,146 49,073 147,220 73,610 36,805 110,416 55,208 27,604 13,802 6,901 20,704 10,352 5,176 2,588 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20

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