354,772

2² × 11² × 733

354,772 factors as 2^2 × 11^2 × 733. Its 18 positive divisors give a proper-divisor sum of 328,582, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 683,354

Proper Divisor Sum 328,582

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #354763 ← → #354779

Radix Representation

Decimal	354772
Binary	1010110100111010100 (19 bits)
Octal	0o1264724
Hexadecimal	0x569D4

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 733 1,466 2,932 8,063 16,126 32,252 88,693 177,386 354,772

Collatz Trajectory (210 steps to reach 1)

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

354,772 177,386 88,693 266,080 133,040 66,520 33,260 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 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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