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Atlas › Integer Profiles › Node 17,518,816

17,518,816

25 × 7 × 197 × 397
Abundant Even Composite

17,518,816 factors as 2^5 × 7 × 197 × 397. Its 48 positive divisors give a proper-divisor sum of 22,198,400, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 197 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 39,717,216
Proper Divisor Sum 22,198,400
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #17518783 ← → #17518843

Radix Representation

Decimal 17518816
Binary 1000010110101000011100000 (25 bits)
Octal 0o102650340
Hexadecimal 0x10B50E0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 112 197 224 394 397 788 794 1,379 1,576 1,588 2,758 2,779 3,152 3,176 5,516 5,558 6,304 6,352 11,032 11,116 12,704 22,064 22,232 44,128 44,464 78,209 88,928 156,418 312,836 547,463 625,672 1,094,926 1,251,344 2,189,852 2,502,688 4,379,704 8,759,408 17,518,816

Collatz Trajectory (107 steps to reach 1)

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

17,518,816 8,759,408 4,379,704 2,189,852 1,094,926 547,463 1,642,390 821,195 2,463,586 1,231,793 3,695,380 1,847,690 923,845 2,771,536 1,385,768 692,884 346,442 173,221 519,664 259,832 129,916 64,958 32,479 97,438 48,719 146,158 73,079 219,238 109,619 328,858 164,429 493,288 246,644 123,322 61,661 184,984 92,492 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130

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