1,628,640

2⁵ × 3³ × 5 × 13 × 29

1,628,640 factors as 2^5 × 3^3 × 5 × 13 × 29. Its 192 positive divisors give a proper-divisor sum of 4,721,760, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 13 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 6,350,400

Proper Divisor Sum 4,721,760

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1628633 ← → #1628689

Radix Representation

Decimal	1628640
Binary	110001101100111100000 (21 bits)
Octal	0o6154740
Hexadecimal	0x18D9E0

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 29 30 32 36 39 40 45 48 52 54 58 60 65 72 78 80 87 90 96 104 108 116 117 120 130 135 144 145 156 160 174 180 195 208 216 232 234 240 260 261 270 288

Collatz Trajectory (101 steps to reach 1)

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

1,628,640 814,320 407,160 203,580 101,790 50,895 152,686 76,343 229,030 114,515 343,546 171,773 515,320 257,660 128,830 64,415 193,246 96,623 289,870 144,935 434,806 217,403 652,210 326,105 978,316 489,158 244,579 733,738 366,869 1,100,608 550,304 275,152 137,576 68,788 34,394 17,197 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726

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