7,434,300

2² × 3 × 5² × 24781

7,434,300 factors as 2^2 × 3 × 5^2 × 24781. Its 36 positive divisors give a proper-divisor sum of 14,076,476, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 24781

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 21,510,776

Proper Divisor Sum 14,076,476

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7434283 ← → #7434311

Radix Representation

Decimal	7434300
Binary	11100010111000000111100 (23 bits)
Octal	0o34270074
Hexadecimal	0x71703C

Divisor Catalog (36)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 24,781 49,562 74,343 99,124 123,905 148,686 247,810 297,372 371,715 495,620 619,525 743,430 1,239,050 1,486,860 1,858,575 2,478,100 3,717,150 7,434,300

Collatz Trajectory (173 steps to reach 1)

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

7,434,300 3,717,150 1,858,575 5,575,726 2,787,863 8,363,590 4,181,795 12,545,386 6,272,693 18,818,080 9,409,040 4,704,520 2,352,260 1,176,130 588,065 1,764,196 882,098 441,049 1,323,148 661,574 330,787 992,362 496,181 1,488,544 744,272 372,136 186,068 93,034 46,517 139,552 69,776 34,888 17,444 8,722 4,361 13,084 6,542 3,271 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312

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