17,836,828

2² × 257 × 17351

17,836,828 factors as 2^2 × 257 × 17351. Its 12 positive divisors give a proper-divisor sum of 13,500,884, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 257 × 17351

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 31,337,712

Proper Divisor Sum 13,500,884

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #17836823 ← → #17836831

Radix Representation

Decimal	17836828
Binary	1000100000010101100011100 (25 bits)
Octal	0o104025434
Hexadecimal	0x1102B1C

Divisor Catalog (12)

1 2 4 257 514 1,028 17,351 34,702 69,404 4,459,207 8,918,414 17,836,828

Collatz Trajectory (164 steps to reach 1)

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

17,836,828 8,918,414 4,459,207 13,377,622 6,688,811 20,066,434 10,033,217 30,099,652 15,049,826 7,524,913 22,574,740 11,287,370 5,643,685 16,931,056 8,465,528 4,232,764 2,116,382 1,058,191 3,174,574 1,587,287 4,761,862 2,380,931 7,142,794 3,571,397 10,714,192 5,357,096 2,678,548 1,339,274 669,637 2,008,912 1,004,456 502,228 251,114 125,557 376,672 188,336 94,168 47,084 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143

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