6,007,444

2² × 43 × 53 × 659

Starting at 6,007,444, the Collatz iteration reaches 1 after 258 steps. The first transition is 3003722; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 43 × 53 × 659

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,977,120

Proper Divisor Sum 4,969,676

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6007433 ← → #6007447

Radix Representation

Decimal	6007444
Binary	10110111010101010010100 (23 bits)
Octal	0o26725224
Hexadecimal	0x5BAA94

Divisor Catalog (24)

1 2 4 43 53 86 106 172 212 659 1,318 2,279 2,636 4,558 9,116 28,337 34,927 56,674 69,854 113,348 139,708 1,501,861 3,003,722 6,007,444

Collatz Trajectory (258 steps to reach 1)

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

6,007,444 3,003,722 1,501,861 4,505,584 2,252,792 1,126,396 563,198 281,599 844,798 422,399 1,267,198 633,599 1,900,798 950,399 2,851,198 1,425,599 4,276,798 2,138,399 6,415,198 3,207,599 9,622,798 4,811,399 14,434,198 7,217,099 21,651,298 10,825,649 32,476,948 16,238,474 8,119,237 24,357,712 12,178,856 6,089,428 3,044,714 1,522,357 4,567,072 2,283,536 1,141,768 570,884 285,442 142,721 428,164 214,082 107,041 321,124 160,562 80,281 240,844 120,422 60,211 180,634 90,317 270,952 135,476 67,738 33,869 101,608 50,804 25,402 12,701 38,104

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