551,880

2³ × 3³ × 5 × 7 × 73

551,880 has digital root 9. The neighboring primes are 551861 and 551909; its proper-divisor sum differs from the starting integer by 1,027,440.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 7 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 2,131,200

Proper Divisor Sum 1,579,320

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #551861 ← → #551909

Radix Representation

Decimal	551880
Binary	10000110101111001000 (20 bits)
Octal	0o2065710
Hexadecimal	0x86BC8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 73 84 90 105 108 120 126 135 140 146 168 180 189 210 216 219 252 270 280 292 315 360 365 378 420 438 504 511 540

Collatz Trajectory (71 steps to reach 1)

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

551,880 275,940 137,970 68,985 206,956 103,478 51,739 155,218 77,609 232,828 116,414 58,207 174,622 87,311 261,934 130,967 392,902 196,451 589,354 294,677 884,032 442,016 221,008 110,504 55,252 27,626 13,813 41,440 20,720 10,360 5,180 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17

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