7,642,386

2 × 3² × 424577

7,642,386 has digital root 9. The neighboring primes are 7642373 and 7642403; its proper-divisor sum differs from the starting integer by 1,273,770.

Prime Factor Structure

Factorization String 2 × 3^2 × 424577

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,558,542

Proper Divisor Sum 8,916,156

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7642373 ← → #7642403

Radix Representation

Decimal	7642386
Binary	11101001001110100010010 (23 bits)
Octal	0o35116422
Hexadecimal	0x749D12

Divisor Catalog (12)

1 2 3 6 9 18 424,577 849,154 1,273,731 2,547,462 3,821,193 7,642,386

Collatz Trajectory (310 steps to reach 1)

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

7,642,386 3,821,193 11,463,580 5,731,790 2,865,895 8,597,686 4,298,843 12,896,530 6,448,265 19,344,796 9,672,398 4,836,199 14,508,598 7,254,299 21,762,898 10,881,449 32,644,348 16,322,174 8,161,087 24,483,262 12,241,631 36,724,894 18,362,447 55,087,342 27,543,671 82,631,014 41,315,507 123,946,522 61,973,261 185,919,784 92,959,892 46,479,946 23,239,973 69,719,920 34,859,960 17,429,980 8,714,990 4,357,495 13,072,486 6,536,243 19,608,730 9,804,365 29,413,096 14,706,548 7,353,274 3,676,637 11,029,912 5,514,956 2,757,478 1,378,739 4,136,218 2,068,109 6,204,328 3,102,164 1,551,082 775,541 2,326,624 1,163,312 581,656 290,828

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