7,428,900

2² × 3 × 5² × 24763

Starting at 7,428,900, the Collatz iteration reaches 1 after 173 steps. The first transition is 3714450; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 24763

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 21,495,152

Proper Divisor Sum 14,066,252

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7428899 ← → #7428917

Radix Representation

Decimal	7428900
Binary	11100010101101100100100 (23 bits)
Octal	0o34255444
Hexadecimal	0x715B24

Divisor Catalog (36)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 24,763 49,526 74,289 99,052 123,815 148,578 247,630 297,156 371,445 495,260 619,075 742,890 1,238,150 1,485,780 1,857,225 2,476,300 3,714,450 7,428,900

Collatz Trajectory (173 steps to reach 1)

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

7,428,900 3,714,450 1,857,225 5,571,676 2,785,838 1,392,919 4,178,758 2,089,379 6,268,138 3,134,069 9,402,208 4,701,104 2,350,552 1,175,276 587,638 293,819 881,458 440,729 1,322,188 661,094 330,547 991,642 495,821 1,487,464 743,732 371,866 185,933 557,800 278,900 139,450 69,725 209,176 104,588 52,294 26,147 78,442 39,221 117,664 58,832 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220

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