4,130,356

2² × 157 × 6577

Starting at 4,130,356, the Collatz iteration reaches 1 after 198 steps. The first transition is 2065178; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 157 × 6577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,275,268

Proper Divisor Sum 3,144,912

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4130339 ← → #4130359

Radix Representation

Decimal	4130356
Binary	1111110000011000110100 (22 bits)
Octal	0o17603064
Hexadecimal	0x3F0634

Divisor Catalog (12)

1 2 4 157 314 628 6,577 13,154 26,308 1,032,589 2,065,178 4,130,356

Collatz Trajectory (198 steps to reach 1)

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

4,130,356 2,065,178 1,032,589 3,097,768 1,548,884 774,442 387,221 1,161,664 580,832 290,416 145,208 72,604 36,302 18,151 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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