428,580

2² × 3² × 5 × 2381

428,580 factors as 2^2 × 3^2 × 5 × 2381. Its 36 positive divisors give a proper-divisor sum of 871,992, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 2381

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,300,572

Proper Divisor Sum 871,992

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #428579 ← → #428629

Radix Representation

Decimal	428580
Binary	1101000101000100100 (19 bits)
Octal	0o1505044
Hexadecimal	0x68A24

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2,381 4,762 7,143 9,524 11,905 14,286 21,429 23,810 28,572 35,715 42,858 47,620 71,430 85,716 107,145 142,860 214,290 428,580

Collatz Trajectory (187 steps to reach 1)

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

428,580 214,290 107,145 321,436 160,718 80,359 241,078 120,539 361,618 180,809 542,428 271,214 135,607 406,822 203,411 610,234 305,117 915,352 457,676 228,838 114,419 343,258 171,629 514,888 257,444 128,722 64,361 193,084 96,542 48,271 144,814 72,407 217,222 108,611 325,834 162,917 488,752 244,376 122,188 61,094 30,547 91,642 45,821 137,464 68,732 34,366 17,183 51,550 25,775 77,326 38,663 115,990 57,995 173,986 86,993 260,980 130,490 65,245 195,736 97,868

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