290,900

2² × 5² × 2909

290,900 factors as 2^2 × 5^2 × 2909. Its 18 positive divisors give a proper-divisor sum of 340,570, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 2909

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 631,470

Proper Divisor Sum 340,570

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #290897 ← → #290923

Radix Representation

Decimal	290900
Binary	1000111000001010100 (19 bits)
Octal	0o1070124
Hexadecimal	0x47054

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 2,909 5,818 11,636 14,545 29,090 58,180 72,725 145,450 290,900

Collatz Trajectory (145 steps to reach 1)

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

290,900 145,450 72,725 218,176 109,088 54,544 27,272 13,636 6,818 3,409 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310

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