4,130,410

2 × 5 × 19 × 21739

Starting at 4,130,410, the Collatz iteration reaches 1 after 198 steps. The first transition is 2065205; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 21739

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,826,400

Proper Divisor Sum 3,695,990

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #4130389 ← → #4130437

Radix Representation

Decimal	4130410
Binary	1111110000011001101010 (22 bits)
Octal	0o17603152
Hexadecimal	0x3F066A

Divisor Catalog (16)

1 2 5 10 19 38 95 190 21,739 43,478 108,695 217,390 413,041 826,082 2,065,205 4,130,410

Collatz Trajectory (198 steps to reach 1)

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

4,130,410 2,065,205 6,195,616 3,097,808 1,548,904 774,452 387,226 193,613 580,840 290,420 145,210 72,605 217,816 108,908 54,454 27,227 81,682 40,841 122,524 61,262 30,631 91,894 45,947 137,842 68,921 206,764 103,382 51,691 155,074 77,537 232,612 116,306 58,153 174,460 87,230 43,615 130,846 65,423 196,270 98,135 294,406 147,203 441,610 220,805 662,416 331,208 165,604 82,802 41,401 124,204 62,102 31,051 93,154 46,577 139,732 69,866 34,933 104,800 52,400 26,200

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