5,887,107

3³ × 37 × 71 × 83

Starting at 5,887,107, the Collatz iteration reaches 1 after 90 steps. The first transition is 17661322; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 37 × 71 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,192,960

Proper Divisor Sum 3,305,853

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5887097 ← → #5887109

Radix Representation

Decimal	5887107
Binary	10110011101010010000011 (23 bits)
Octal	0o26352203
Hexadecimal	0x59D483

Divisor Catalog (32)

1 3 9 27 37 71 83 111 213 249 333 639 747 999 1,917 2,241 2,627 3,071 5,893 7,881 9,213 17,679 23,643 27,639 53,037 70,929 82,917 159,111 218,041 654,123 1,962,369 5,887,107

Collatz Trajectory (90 steps to reach 1)

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

5,887,107 17,661,322 8,830,661 26,491,984 13,245,992 6,622,996 3,311,498 1,655,749 4,967,248 2,483,624 1,241,812 620,906 310,453 931,360 465,680 232,840 116,420 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173

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