5,760,168

2³ × 3 × 240007

5,760,168 has digital root 6. The neighboring primes are 5760163 and 5760193; its proper-divisor sum differs from the starting integer by 2,880,144.

Prime Factor Structure

Factorization String 2^3 × 3 × 240007

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,400,480

Proper Divisor Sum 8,640,312

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5760163 ← → #5760193

Radix Representation

Decimal	5760168
Binary	10101111110010010101000 (23 bits)
Octal	0o25762250
Hexadecimal	0x57E4A8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 240,007 480,014 720,021 960,028 1,440,042 1,920,056 2,880,084 5,760,168

Collatz Trajectory (69 steps to reach 1)

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

5,760,168 2,880,084 1,440,042 720,021 2,160,064 1,080,032 540,016 270,008 135,004 67,502 33,751 101,254 50,627 151,882 75,941 227,824 113,912 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170

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