7,707,388

2² × 13 × 19 × 29 × 269

7,707,388 has the prime decomposition 2^2 × 13 × 19 × 29 × 269. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 29 × 269

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,876,000

Proper Divisor Sum 8,168,612

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7707383 ← → #7707397

Radix Representation

Decimal	7707388
Binary	11101011001101011111100 (23 bits)
Octal	0o35315374
Hexadecimal	0x759AFC

Divisor Catalog (48)

1 2 4 13 19 26 29 38 52 58 76 116 247 269 377 494 538 551 754 988 1,076 1,102 1,508 2,204 3,497 5,111 6,994 7,163 7,801 10,222 13,988 14,326 15,602 20,444 28,652 31,204 66,443 101,413 132,886 148,219 202,826 265,772 296,438 405,652 592,876 1,926,847 3,853,694 7,707,388

Collatz Trajectory (155 steps to reach 1)

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

7,707,388 3,853,694 1,926,847 5,780,542 2,890,271 8,670,814 4,335,407 13,006,222 6,503,111 19,509,334 9,754,667 29,264,002 14,632,001 43,896,004 21,948,002 10,974,001 32,922,004 16,461,002 8,230,501 24,691,504 12,345,752 6,172,876 3,086,438 1,543,219 4,629,658 2,314,829 6,944,488 3,472,244 1,736,122 868,061 2,604,184 1,302,092 651,046 325,523 976,570 488,285 1,464,856 732,428 366,214 183,107 549,322 274,661 823,984 411,992 205,996 102,998 51,499 154,498 77,249 231,748 115,874 57,937 173,812 86,906 43,453 130,360 65,180 32,590 16,295 48,886

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