3,076,272

2⁴ × 3³ × 7121

3,076,272 has the prime decomposition 2^4 × 3^3 × 7121. Its 3 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7121

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,831,280

Proper Divisor Sum 5,755,008

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3076261 ← → #3076289

Radix Representation

Decimal	3076272
Binary	1011101111000010110000 (22 bits)
Octal	0o13570260
Hexadecimal	0x2EF0B0

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 7,121 14,242 21,363 28,484 42,726 56,968 64,089 85,452 113,936 128,178 170,904 192,267 256,356 341,808 384,534 512,712 769,068 1,025,424 1,538,136 3,076,272

Collatz Trajectory (76 steps to reach 1)

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

3,076,272 1,538,136 769,068 384,534 192,267 576,802 288,401 865,204 432,602 216,301 648,904 324,452 162,226 81,113 243,340 121,670 60,835 182,506 91,253 273,760 136,880 68,440 34,220 17,110 8,555 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544

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