7,679,988

2² × 3³ × 17 × 47 × 89

7,679,988 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 17 × 47 × 89 and its 96 divisors sum to 21,772,800.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 47 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,772,800

Proper Divisor Sum 14,092,812

Digit Sum / Digital Root 54 (Root: 9)

Adjacent Primes #7679981 ← → #7679993

Radix Representation

Decimal	7679988
Binary	11101010010111111110100 (23 bits)
Octal	0o35227764
Hexadecimal	0x752FF4

Divisor Catalog (60 of 96)

1 2 3 4 6 9 12 17 18 27 34 36 47 51 54 68 89 94 102 108 141 153 178 188 204 267 282 306 356 423 459 534 564 612 799 801 846 918 1,068 1,269 1,513 1,598 1,602 1,692 1,836 2,397 2,403 2,538 3,026 3,196 3,204 4,183 4,539 4,794 4,806 5,076 6,052 7,191 8,366 9,078

Collatz Trajectory (279 steps to reach 1)

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

7,679,988 3,839,994 1,919,997 5,759,992 2,879,996 1,439,998 719,999 2,159,998 1,079,999 3,239,998 1,619,999 4,859,998 2,429,999 7,289,998 3,644,999 10,934,998 5,467,499 16,402,498 8,201,249 24,603,748 12,301,874 6,150,937 18,452,812 9,226,406 4,613,203 13,839,610 6,919,805 20,759,416 10,379,708 5,189,854 2,594,927 7,784,782 3,892,391 11,677,174 5,838,587 17,515,762 8,757,881 26,273,644 13,136,822 6,568,411 19,705,234 9,852,617 29,557,852 14,778,926 7,389,463 22,168,390 11,084,195 33,252,586 16,626,293 49,878,880 24,939,440 12,469,720 6,234,860 3,117,430 1,558,715 4,676,146 2,338,073 7,014,220 3,507,110 1,753,555

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