5,918,800

2⁴ × 5² × 14797

Starting at 5,918,800, the Collatz iteration reaches 1 after 152 steps. The first transition is 2959400; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 14797

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 14,220,878

Proper Divisor Sum 8,302,078

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5918789 ← → #5918863

Radix Representation

Decimal	5918800
Binary	10110100101000001010000 (23 bits)
Octal	0o26450120
Hexadecimal	0x5A5050

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 14,797 29,594 59,188 73,985 118,376 147,970 236,752 295,940 369,925 591,880 739,850 1,183,760 1,479,700 2,959,400 5,918,800

Collatz Trajectory (152 steps to reach 1)

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

5,918,800 2,959,400 1,479,700 739,850 369,925 1,109,776 554,888 277,444 138,722 69,361 208,084 104,042 52,021 156,064 78,032 39,016 19,508 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182

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