5,288,004

2² × 3⁴ × 19 × 859

Starting at 5,288,004, the Collatz iteration reaches 1 after 144 steps. The first transition is 2644002; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 19 × 859

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 14,568,400

Proper Divisor Sum 9,280,396

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5287991 ← → #5288033

Radix Representation

Decimal	5288004
Binary	10100001011000001000100 (23 bits)
Octal	0o24130104
Hexadecimal	0x50B044

Divisor Catalog (60)

1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 859 1,026 1,539 1,718 2,052 2,577 3,078 3,436 5,154 6,156 7,731 10,308 15,462 16,321 23,193 30,924 32,642 46,386 48,963 65,284 69,579 92,772 97,926 139,158 146,889 195,852 278,316 293,778 440,667 587,556 881,334 1,322,001 1,762,668 2,644,002 5,288,004

Collatz Trajectory (144 steps to reach 1)

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

5,288,004 2,644,002 1,322,001 3,966,004 1,983,002 991,501 2,974,504 1,487,252 743,626 371,813 1,115,440 557,720 278,860 139,430 69,715 209,146 104,573 313,720 156,860 78,430 39,215 117,646 58,823 176,470 88,235 264,706 132,353 397,060 198,530 99,265 297,796 148,898 74,449 223,348 111,674 55,837 167,512 83,756 41,878 20,939 62,818 31,409 94,228 47,114 23,557 70,672 35,336 17,668 8,834 4,417 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932

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