17,518,998

2 × 3 × 7 × 417119

17,518,998 factors as 2 × 3 × 7 × 417119. Its 16 positive divisors give a proper-divisor sum of 22,524,522, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 417119

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 40,043,520

Proper Divisor Sum 22,524,522

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #17518997 ← → #17519009

Radix Representation

Decimal	17518998
Binary	1000010110101000110010110 (25 bits)
Octal	0o102650626
Hexadecimal	0x10B5196

Divisor Catalog (16)

1 2 3 6 7 14 21 42 417,119 834,238 1,251,357 2,502,714 2,919,833 5,839,666 8,759,499 17,518,998

Collatz Trajectory (169 steps to reach 1)

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

17,518,998 8,759,499 26,278,498 13,139,249 39,417,748 19,708,874 9,854,437 29,563,312 14,781,656 7,390,828 3,695,414 1,847,707 5,543,122 2,771,561 8,314,684 4,157,342 2,078,671 6,236,014 3,118,007 9,354,022 4,677,011 14,031,034 7,015,517 21,046,552 10,523,276 5,261,638 2,630,819 7,892,458 3,946,229 11,838,688 5,919,344 2,959,672 1,479,836 739,918 369,959 1,109,878 554,939 1,664,818 832,409 2,497,228 1,248,614 624,307 1,872,922 936,461 2,809,384 1,404,692 702,346 351,173 1,053,520 526,760 263,380 131,690 65,845 197,536 98,768 49,384 24,692 12,346 6,173 18,520

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