7,667,615

5 × 41 × 113 × 331

7,667,615 has the prime decomposition 5 × 41 × 113 × 331. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 41 × 113 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,537,696

Proper Divisor Sum 1,870,081

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7667609 ← → #7667641

Radix Representation

Decimal	7667615
Binary	11101001111111110011111 (23 bits)
Octal	0o35177637
Hexadecimal	0x74FF9F

Divisor Catalog (16)

1 5 41 113 205 331 565 1,655 4,633 13,571 23,165 37,403 67,855 187,015 1,533,523 7,667,615

Collatz Trajectory (248 steps to reach 1)

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

7,667,615 23,002,846 11,501,423 34,504,270 17,252,135 51,756,406 25,878,203 77,634,610 38,817,305 116,451,916 58,225,958 29,112,979 87,338,938 43,669,469 131,008,408 65,504,204 32,752,102 16,376,051 49,128,154 24,564,077 73,692,232 36,846,116 18,423,058 9,211,529 27,634,588 13,817,294 6,908,647 20,725,942 10,362,971 31,088,914 15,544,457 46,633,372 23,316,686 11,658,343 34,975,030 17,487,515 52,462,546 26,231,273 78,693,820 39,346,910 19,673,455 59,020,366 29,510,183 88,530,550 44,265,275 132,795,826 66,397,913 199,193,740 99,596,870 49,798,435 149,395,306 74,697,653 224,092,960 112,046,480 56,023,240 28,011,620 14,005,810 7,002,905 21,008,716 10,504,358

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