7,684,470

2 × 3⁴ × 5 × 53 × 179

7,684,470 factors as 2 × 3^4 × 5 × 53 × 179. Its 80 positive divisors give a proper-divisor sum of 13,485,690, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 53 × 179

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 21,170,160

Proper Divisor Sum 13,485,690

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7684447 ← → #7684477

Radix Representation

Decimal	7684470
Binary	11101010100000101110110 (23 bits)
Octal	0o35240566
Hexadecimal	0x754176

Divisor Catalog (60 of 80)

1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 179 265 270 318 358 405 477 530 537 795 810 895 954 1,074 1,431 1,590 1,611 1,790 2,385 2,685 2,862 3,222 4,293 4,770 4,833 5,370 7,155 8,055 8,586 9,487 9,666 14,310 14,499 16,110 18,974 21,465 24,165 28,461 28,998 42,930

Collatz Trajectory (98 steps to reach 1)

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

7,684,470 3,842,235 11,526,706 5,763,353 17,290,060 8,645,030 4,322,515 12,967,546 6,483,773 19,451,320 9,725,660 4,862,830 2,431,415 7,294,246 3,647,123 10,941,370 5,470,685 16,412,056 8,206,028 4,103,014 2,051,507 6,154,522 3,077,261 9,231,784 4,615,892 2,307,946 1,153,973 3,461,920 1,730,960 865,480 432,740 216,370 108,185 324,556 162,278 81,139 243,418 121,709 365,128 182,564 91,282 45,641 136,924 68,462 34,231 102,694 51,347 154,042 77,021 231,064 115,532 57,766 28,883 86,650 43,325 129,976 64,988 32,494 16,247 48,742

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