354,852

2² × 3² × 9857

354,852 factors as 2^2 × 3^2 × 9857. Its 18 positive divisors give a proper-divisor sum of 542,226, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 9857

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 897,078

Proper Divisor Sum 542,226

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #354847 ← → #354869

Radix Representation

Decimal	354852
Binary	1010110101000100100 (19 bits)
Octal	0o1265044
Hexadecimal	0x56A24

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 9,857 19,714 29,571 39,428 59,142 88,713 118,284 177,426 354,852

Collatz Trajectory (210 steps to reach 1)

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

354,852 177,426 88,713 266,140 133,070 66,535 199,606 99,803 299,410 149,705 449,116 224,558 112,279 336,838 168,419 505,258 252,629 757,888 378,944 189,472 94,736 47,368 23,684 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534

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