574,080

2⁷ × 3 × 5 × 13 × 23

574,080 factors as 2^7 × 3 × 5 × 13 × 23. Its 128 positive divisors give a proper-divisor sum of 1,482,240, so this integer is abundant. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 13 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 2,056,320

Proper Divisor Sum 1,482,240

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #574061 ← → #574081

Radix Representation

Decimal	574080
Binary	10001100001010000000 (20 bits)
Octal	0o2141200
Hexadecimal	0x8C280

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 32 39 40 46 48 52 60 64 65 69 78 80 92 96 104 115 120 128 130 138 156 160 184 192 195 208 230 240 260 276 299 312 320 345 368 384 390 416 460 480 520 552 598

Collatz Trajectory (53 steps to reach 1)

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

574,080 287,040 143,520 71,760 35,880 17,940 8,970 4,485 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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