289,775

5² × 67 × 173

289,775 factors as 5^2 × 67 × 173. Its 12 positive divisors give a proper-divisor sum of 77,017, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 5^2 × 67 × 173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 366,792

Proper Divisor Sum 77,017

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #289771 ← → #289789

Radix Representation

Decimal	289775
Binary	1000110101111101111 (19 bits)
Octal	0o1065757
Hexadecimal	0x46BEF

Divisor Catalog (12)

1 5 25 67 173 335 865 1,675 4,325 11,591 57,955 289,775

Collatz Trajectory (96 steps to reach 1)

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

289,775 869,326 434,663 1,303,990 651,995 1,955,986 977,993 2,933,980 1,466,990 733,495 2,200,486 1,100,243 3,300,730 1,650,365 4,951,096 2,475,548 1,237,774 618,887 1,856,662 928,331 2,784,994 1,392,497 4,177,492 2,088,746 1,044,373 3,133,120 1,566,560 783,280 391,640 195,820 97,910 48,955 146,866 73,433 220,300 110,150 55,075 165,226 82,613 247,840 123,920 61,960 30,980 15,490 7,745 23,236 11,618 5,809 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840

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