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Atlas › Integer Profiles › Node 17,514,304

17,514,304

26 × 283 × 967
Deficient Even Composite

17,514,304 factors as 2^6 × 283 × 967. Its 28 positive divisors give a proper-divisor sum of 17,399,520, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^6 × 283 × 967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 34,913,824
Proper Divisor Sum 17,399,520
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17514281 ← → #17514313

Radix Representation

Decimal 17514304
Binary 1000010110011111101000000 (25 bits)
Octal 0o102637500
Hexadecimal 0x10B3F40

Divisor Catalog (28)

1 2 4 8 16 32 64 283 566 967 1,132 1,934 2,264 3,868 4,528 7,736 9,056 15,472 18,112 30,944 61,888 273,661 547,322 1,094,644 2,189,288 4,378,576 8,757,152 17,514,304

Collatz Trajectory (169 steps to reach 1)

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

17,514,304 8,757,152 4,378,576 2,189,288 1,094,644 547,322 273,661 820,984 410,492 205,246 102,623 307,870 153,935 461,806 230,903 692,710 346,355 1,039,066 519,533 1,558,600 779,300 389,650 194,825 584,476 292,238 146,119 438,358 219,179 657,538 328,769 986,308 493,154 246,577 739,732 369,866 184,933 554,800 277,400 138,700 69,350 34,675 104,026 52,013 156,040 78,020 39,010 19,505 58,516 29,258 14,629 43,888 21,944 10,972 5,486 2,743 8,230 4,115 12,346 6,173 18,520

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