8,216,631

3² × 912959

8,216,631 factors as 3^2 × 912959. Its 6 positive divisors give a proper-divisor sum of 3,651,849, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3^2 × 912959

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 11,868,480

Proper Divisor Sum 3,651,849

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8216609 ← → #8216641

Radix Representation

Decimal	8216631
Binary	11111010110000000110111 (23 bits)
Octal	0o37260067
Hexadecimal	0x7D6037

Divisor Catalog (6)

1 3 9 912,959 2,738,877 8,216,631

Collatz Trajectory (199 steps to reach 1)

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

8,216,631 24,649,894 12,324,947 36,974,842 18,487,421 55,462,264 27,731,132 13,865,566 6,932,783 20,798,350 10,399,175 31,197,526 15,598,763 46,796,290 23,398,145 70,194,436 35,097,218 17,548,609 52,645,828 26,322,914 13,161,457 39,484,372 19,742,186 9,871,093 29,613,280 14,806,640 7,403,320 3,701,660 1,850,830 925,415 2,776,246 1,388,123 4,164,370 2,082,185 6,246,556 3,123,278 1,561,639 4,684,918 2,342,459 7,027,378 3,513,689 10,541,068 5,270,534 2,635,267 7,905,802 3,952,901 11,858,704 5,929,352 2,964,676 1,482,338 741,169 2,223,508 1,111,754 555,877 1,667,632 833,816 416,908 208,454 104,227 312,682

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