355,455

3³ × 5 × 2633

355,455 factors as 3^3 × 5 × 2633. Its 16 positive divisors give a proper-divisor sum of 276,705, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 2633

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 632,160

Proper Divisor Sum 276,705

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #355441 ← → #355457

Radix Representation

Decimal	355455
Binary	1010110110001111111 (19 bits)
Octal	0o1266177
Hexadecimal	0x56C7F

Divisor Catalog (16)

1 3 5 9 15 27 45 135 2,633 7,899 13,165 23,697 39,495 71,091 118,485 355,455

Collatz Trajectory (228 steps to reach 1)

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

355,455 1,066,366 533,183 1,599,550 799,775 2,399,326 1,199,663 3,598,990 1,799,495 5,398,486 2,699,243 8,097,730 4,048,865 12,146,596 6,073,298 3,036,649 9,109,948 4,554,974 2,277,487 6,832,462 3,416,231 10,248,694 5,124,347 15,373,042 7,686,521 23,059,564 11,529,782 5,764,891 17,294,674 8,647,337 25,942,012 12,971,006 6,485,503 19,456,510 9,728,255 29,184,766 14,592,383 43,777,150 21,888,575 65,665,726 32,832,863 98,498,590 49,249,295 147,747,886 73,873,943 221,621,830 110,810,915 332,432,746 166,216,373 498,649,120 249,324,560 124,662,280 62,331,140 31,165,570 15,582,785 46,748,356 23,374,178 11,687,089 35,061,268 17,530,634

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