7,353,020

2² × 5 × 367651

Starting at 7,353,020, the Collatz iteration reaches 1 after 235 steps. The first transition is 3676510; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 367651

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,441,384

Proper Divisor Sum 8,088,364

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7353011 ← → #7353029

Radix Representation

Decimal	7353020
Binary	11100000011001010111100 (23 bits)
Octal	0o34031274
Hexadecimal	0x7032BC

Divisor Catalog (12)

1 2 4 5 10 20 367,651 735,302 1,470,604 1,838,255 3,676,510 7,353,020

Collatz Trajectory (235 steps to reach 1)

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

7,353,020 3,676,510 1,838,255 5,514,766 2,757,383 8,272,150 4,136,075 12,408,226 6,204,113 18,612,340 9,306,170 4,653,085 13,959,256 6,979,628 3,489,814 1,744,907 5,234,722 2,617,361 7,852,084 3,926,042 1,963,021 5,889,064 2,944,532 1,472,266 736,133 2,208,400 1,104,200 552,100 276,050 138,025 414,076 207,038 103,519 310,558 155,279 465,838 232,919 698,758 349,379 1,048,138 524,069 1,572,208 786,104 393,052 196,526 98,263 294,790 147,395 442,186 221,093 663,280 331,640 165,820 82,910 41,455 124,366 62,183 186,550 93,275 279,826

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