428,655

3 × 5 × 17 × 41²

428,655 factors as 3 × 5 × 17 × 41^2. Its 24 positive divisors give a proper-divisor sum of 315,681, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 41^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 744,336

Proper Divisor Sum 315,681

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #428639 ← → #428657

Radix Representation

Decimal	428655
Binary	1101000101001101111 (19 bits)
Octal	0o1505157
Hexadecimal	0x68A6F

Divisor Catalog (24)

1 3 5 15 17 41 51 85 123 205 255 615 697 1,681 2,091 3,485 5,043 8,405 10,455 25,215 28,577 85,731 142,885 428,655

Collatz Trajectory (174 steps to reach 1)

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

428,655 1,285,966 642,983 1,928,950 964,475 2,893,426 1,446,713 4,340,140 2,170,070 1,085,035 3,255,106 1,627,553 4,882,660 2,441,330 1,220,665 3,661,996 1,830,998 915,499 2,746,498 1,373,249 4,119,748 2,059,874 1,029,937 3,089,812 1,544,906 772,453 2,317,360 1,158,680 579,340 289,670 144,835 434,506 217,253 651,760 325,880 162,940 81,470 40,735 122,206 61,103 183,310 91,655 274,966 137,483 412,450 206,225 618,676 309,338 154,669 464,008 232,004 116,002 58,001 174,004 87,002 43,501 130,504 65,252 32,626 16,313

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