5,784,120

2³ × 3² × 5 × 16067

5,784,120 factors as 2^3 × 3^2 × 5 × 16067. Its 48 positive divisors give a proper-divisor sum of 13,015,440, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 16067

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,799,560

Proper Divisor Sum 13,015,440

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5784091 ← → #5784133

Radix Representation

Decimal	5784120
Binary	10110000100001000111000 (23 bits)
Octal	0o26041070
Hexadecimal	0x584238

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 16,067 32,134 48,201 64,268 80,335 96,402 128,536 144,603 160,670 192,804 241,005 289,206 321,340 385,608 482,010 578,412 642,680 723,015 964,020 1,156,824 1,446,030 1,928,040 2,892,060 5,784,120

Collatz Trajectory (214 steps to reach 1)

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

5,784,120 2,892,060 1,446,030 723,015 2,169,046 1,084,523 3,253,570 1,626,785 4,880,356 2,440,178 1,220,089 3,660,268 1,830,134 915,067 2,745,202 1,372,601 4,117,804 2,058,902 1,029,451 3,088,354 1,544,177 4,632,532 2,316,266 1,158,133 3,474,400 1,737,200 868,600 434,300 217,150 108,575 325,726 162,863 488,590 244,295 732,886 366,443 1,099,330 549,665 1,648,996 824,498 412,249 1,236,748 618,374 309,187 927,562 463,781 1,391,344 695,672 347,836 173,918 86,959 260,878 130,439 391,318 195,659 586,978 293,489 880,468 440,234 220,117

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