7,215,561

3⁴ × 229 × 389

7,215,561 has the prime decomposition 3^4 × 229 × 389. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 229 × 389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,853,700

Proper Divisor Sum 3,638,139

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7215557 ← → #7215601

Radix Representation

Decimal	7215561
Binary	11011100001100111001001 (23 bits)
Octal	0o33414711
Hexadecimal	0x6E19C9

Divisor Catalog (20)

1 3 9 27 81 229 389 687 1,167 2,061 3,501 6,183 10,503 18,549 31,509 89,081 267,243 801,729 2,405,187 7,215,561

Collatz Trajectory (116 steps to reach 1)

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

7,215,561 21,646,684 10,823,342 5,411,671 16,235,014 8,117,507 24,352,522 12,176,261 36,528,784 18,264,392 9,132,196 4,566,098 2,283,049 6,849,148 3,424,574 1,712,287 5,136,862 2,568,431 7,705,294 3,852,647 11,557,942 5,778,971 17,336,914 8,668,457 26,005,372 13,002,686 6,501,343 19,504,030 9,752,015 29,256,046 14,628,023 43,884,070 21,942,035 65,826,106 32,913,053 98,739,160 49,369,580 24,684,790 12,342,395 37,027,186 18,513,593 55,540,780 27,770,390 13,885,195 41,655,586 20,827,793 62,483,380 31,241,690 15,620,845 46,862,536 23,431,268 11,715,634 5,857,817 17,573,452 8,786,726 4,393,363 13,180,090 6,590,045 19,770,136 9,885,068

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