2,198,461

29 × 41 × 43²

2,198,461 factors as 29 × 41 × 43^2. Its 12 positive divisors give a proper-divisor sum of 186,719, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 29 × 41 × 43^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,385,180

Proper Divisor Sum 186,719

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2198453 ← → #2198473

Radix Representation

Decimal	2198461
Binary	1000011000101110111101 (22 bits)
Octal	0o10305675
Hexadecimal	0x218BBD

Divisor Catalog (12)

1 29 41 43 1,189 1,247 1,763 1,849 51,127 53,621 75,809 2,198,461

Collatz Trajectory (117 steps to reach 1)

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

2,198,461 6,595,384 3,297,692 1,648,846 824,423 2,473,270 1,236,635 3,709,906 1,854,953 5,564,860 2,782,430 1,391,215 4,173,646 2,086,823 6,260,470 3,130,235 9,390,706 4,695,353 14,086,060 7,043,030 3,521,515 10,564,546 5,282,273 15,846,820 7,923,410 3,961,705 11,885,116 5,942,558 2,971,279 8,913,838 4,456,919 13,370,758 6,685,379 20,056,138 10,028,069 30,084,208 15,042,104 7,521,052 3,760,526 1,880,263 5,640,790 2,820,395 8,461,186 4,230,593 12,691,780 6,345,890 3,172,945 9,518,836 4,759,418 2,379,709 7,139,128 3,569,564 1,784,782 892,391 2,677,174 1,338,587 4,015,762 2,007,881 6,023,644 3,011,822

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