6,080,976

2⁴ × 3² × 11² × 349

6,080,976 has the prime decomposition 2^4 × 3^2 × 11^2 × 349. Its 4 distinct prime factors produce 90 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11^2 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 18,759,650

Proper Divisor Sum 12,678,674

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6080959 ← → #6081013

Radix Representation

Decimal	6080976
Binary	10111001100100111010000 (23 bits)
Octal	0o27144720
Hexadecimal	0x5CC9D0

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 349 363 396 484 528 698 726 792 968 1,047 1,089 1,396 1,452 1,584 1,936 2,094 2,178 2,792 2,904 3,141 3,839 4,188 4,356 5,584 5,808 6,282 7,678 8,376 8,712 11,517 12,564 15,356

Collatz Trajectory (227 steps to reach 1)

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

6,080,976 3,040,488 1,520,244 760,122 380,061 1,140,184 570,092 285,046 142,523 427,570 213,785 641,356 320,678 160,339 481,018 240,509 721,528 360,764 180,382 90,191 270,574 135,287 405,862 202,931 608,794 304,397 913,192 456,596 228,298 114,149 342,448 171,224 85,612 42,806 21,403 64,210 32,105 96,316 48,158 24,079 72,238 36,119 108,358 54,179 162,538 81,269 243,808 121,904 60,952 30,476 15,238 7,619 22,858 11,429 34,288 17,144 8,572 4,286 2,143 6,430

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