618,189

3 × 11² × 13 × 131

618,189 has digital root 6. The neighboring primes are 618173 and 618199; its proper-divisor sum differs from the starting integer by -253,242.

Prime Factor Structure

Factorization String 3 × 11^2 × 13 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 983,136

Proper Divisor Sum 364,947

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #618173 ← → #618199

Radix Representation

Decimal	618189
Binary	10010110111011001101 (20 bits)
Octal	0o2267315
Hexadecimal	0x96ECD

Divisor Catalog (24)

1 3 11 13 33 39 121 131 143 363 393 429 1,441 1,573 1,703 4,323 4,719 5,109 15,851 18,733 47,553 56,199 206,063 618,189

Collatz Trajectory (172 steps to reach 1)

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

618,189 1,854,568 927,284 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110

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