8,436,620

2² × 5 × 421831

8,436,620 factors as 2^2 × 5 × 421831. Its 12 positive divisors give a proper-divisor sum of 9,280,324, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 421831

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,716,944

Proper Divisor Sum 9,280,324

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8436613 ← → #8436671

Radix Representation

Decimal	8436620
Binary	100000001011101110001100 (24 bits)
Octal	0o40135614
Hexadecimal	0x80BB8C

Divisor Catalog (12)

1 2 4 5 10 20 421,831 843,662 1,687,324 2,109,155 4,218,310 8,436,620

Collatz Trajectory (129 steps to reach 1)

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

8,436,620 4,218,310 2,109,155 6,327,466 3,163,733 9,491,200 4,745,600 2,372,800 1,186,400 593,200 296,600 148,300 74,150 37,075 111,226 55,613 166,840 83,420 41,710 20,855 62,566 31,283 93,850 46,925 140,776 70,388 35,194 17,597 52,792 26,396 13,198 6,599 19,798 9,899 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923

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