4,598,027

7 × 37 × 41 × 433

Starting at 4,598,027, the Collatz iteration reaches 1 after 180 steps. The first transition is 13794082; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 37 × 41 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,541,312

Proper Divisor Sum 943,285

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4597993 ← → #4598063

Radix Representation

Decimal	4598027
Binary	10001100010100100001011 (23 bits)
Octal	0o21424413
Hexadecimal	0x46290B

Divisor Catalog (16)

1 7 37 41 259 287 433 1,517 3,031 10,619 16,021 17,753 112,147 124,271 656,861 4,598,027

Collatz Trajectory (180 steps to reach 1)

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

4,598,027 13,794,082 6,897,041 20,691,124 10,345,562 5,172,781 15,518,344 7,759,172 3,879,586 1,939,793 5,819,380 2,909,690 1,454,845 4,364,536 2,182,268 1,091,134 545,567 1,636,702 818,351 2,455,054 1,227,527 3,682,582 1,841,291 5,523,874 2,761,937 8,285,812 4,142,906 2,071,453 6,214,360 3,107,180 1,553,590 776,795 2,330,386 1,165,193 3,495,580 1,747,790 873,895 2,621,686 1,310,843 3,932,530 1,966,265 5,898,796 2,949,398 1,474,699 4,424,098 2,212,049 6,636,148 3,318,074 1,659,037 4,977,112 2,488,556 1,244,278 622,139 1,866,418 933,209 2,799,628 1,399,814 699,907 2,099,722 1,049,861

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