8,109,985

5 × 13 × 124769

8,109,985 factors as 5 × 13 × 124769. Its 8 positive divisors give a proper-divisor sum of 2,370,695, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 5 × 13 × 124769

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,480,680

Proper Divisor Sum 2,370,695

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8109973 ← → #8110009

Radix Representation

Decimal	8109985
Binary	11110111011111110100001 (23 bits)
Octal	0o36737641
Hexadecimal	0x7BBFA1

Divisor Catalog (8)

1 5 13 65 124,769 623,845 1,621,997 8,109,985

Collatz Trajectory (111 steps to reach 1)

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

8,109,985 24,329,956 12,164,978 6,082,489 18,247,468 9,123,734 4,561,867 13,685,602 6,842,801 20,528,404 10,264,202 5,132,101 15,396,304 7,698,152 3,849,076 1,924,538 962,269 2,886,808 1,443,404 721,702 360,851 1,082,554 541,277 1,623,832 811,916 405,958 202,979 608,938 304,469 913,408 456,704 228,352 114,176 57,088 28,544 14,272 7,136 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438

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