1,629,918

2 × 3² × 23 × 31 × 127

1,629,918 has digital root 9. The neighboring primes are 1629899 and 1629919; its proper-divisor sum differs from the starting integer by 574,020.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 31 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,833,856

Proper Divisor Sum 2,203,938

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1629899 ← → #1629919

Radix Representation

Decimal	1629918
Binary	110001101111011011110 (21 bits)
Octal	0o6157336
Hexadecimal	0x18DEDE

Divisor Catalog (48)

1 2 3 6 9 18 23 31 46 62 69 93 127 138 186 207 254 279 381 414 558 713 762 1,143 1,426 2,139 2,286 2,921 3,937 4,278 5,842 6,417 7,874 8,763 11,811 12,834 17,526 23,622 26,289 35,433 52,578 70,866 90,551 181,102 271,653 543,306 814,959 1,629,918

Collatz Trajectory (145 steps to reach 1)

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

1,629,918 814,959 2,444,878 1,222,439 3,667,318 1,833,659 5,500,978 2,750,489 8,251,468 4,125,734 2,062,867 6,188,602 3,094,301 9,282,904 4,641,452 2,320,726 1,160,363 3,481,090 1,740,545 5,221,636 2,610,818 1,305,409 3,916,228 1,958,114 979,057 2,937,172 1,468,586 734,293 2,202,880 1,101,440 550,720 275,360 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343

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