7,688,335

5 × 17 × 29 × 3119

7,688,335 factors as 5 × 17 × 29 × 3119. Its 16 positive divisors give a proper-divisor sum of 2,420,465, so this integer is deficient. The Collatz stopping time is 292 steps.

Prime Factor Structure

Factorization String 5 × 17 × 29 × 3119

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,108,800

Proper Divisor Sum 2,420,465

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7688333 ← → #7688389

Radix Representation

Decimal	7688335
Binary	11101010101000010001111 (23 bits)
Octal	0o35250217
Hexadecimal	0x75508F

Divisor Catalog (16)

1 5 17 29 85 145 493 2,465 3,119 15,595 53,023 90,451 265,115 452,255 1,537,667 7,688,335

Collatz Trajectory (292 steps to reach 1)

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

7,688,335 23,065,006 11,532,503 34,597,510 17,298,755 51,896,266 25,948,133 77,844,400 38,922,200 19,461,100 9,730,550 4,865,275 14,595,826 7,297,913 21,893,740 10,946,870 5,473,435 16,420,306 8,210,153 24,630,460 12,315,230 6,157,615 18,472,846 9,236,423 27,709,270 13,854,635 41,563,906 20,781,953 62,345,860 31,172,930 15,586,465 46,759,396 23,379,698 11,689,849 35,069,548 17,534,774 8,767,387 26,302,162 13,151,081 39,453,244 19,726,622 9,863,311 29,589,934 14,794,967 44,384,902 22,192,451 66,577,354 33,288,677 99,866,032 49,933,016 24,966,508 12,483,254 6,241,627 18,724,882 9,362,441 28,087,324 14,043,662 7,021,831 21,065,494 10,532,747

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