7,667,067

3 × 509 × 5021

7,667,067 is odd and not a perfect square. Its factorization is 3 × 509 × 5021 and its 8 divisors sum to 10,244,880.

Prime Factor Structure

Factorization String 3 × 509 × 5021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,244,880

Proper Divisor Sum 2,577,813

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7667057 ← → #7667069

Radix Representation

Decimal	7667067
Binary	11101001111110101111011 (23 bits)
Octal	0o35176573
Hexadecimal	0x74FD7B

Divisor Catalog (8)

1 3 509 1,527 5,021 15,063 2,555,689 7,667,067

Collatz Trajectory (129 steps to reach 1)

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

7,667,067 23,001,202 11,500,601 34,501,804 17,250,902 8,625,451 25,876,354 12,938,177 38,814,532 19,407,266 9,703,633 29,110,900 14,555,450 7,277,725 21,833,176 10,916,588 5,458,294 2,729,147 8,187,442 4,093,721 12,281,164 6,140,582 3,070,291 9,210,874 4,605,437 13,816,312 6,908,156 3,454,078 1,727,039 5,181,118 2,590,559 7,771,678 3,885,839 11,657,518 5,828,759 17,486,278 8,743,139 26,229,418 13,114,709 39,344,128 19,672,064 9,836,032 4,918,016 2,459,008 1,229,504 614,752 307,376 153,688 76,844 38,422 19,211 57,634 28,817 86,452 43,226 21,613 64,840 32,420 16,210 8,105

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