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Atlas › Integer Profiles › Node 17,654,848

17,654,848

26 × 311 × 887
Deficient Even Composite

17,654,848 factors as 2^6 × 311 × 887. Its 28 positive divisors give a proper-divisor sum of 17,531,264, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^6 × 311 × 887
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 35,186,112
Proper Divisor Sum 17,531,264
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #17654843 ← → #17654849

Radix Representation

Decimal 17654848
Binary 1000011010110010001000000 (25 bits)
Octal 0o103262100
Hexadecimal 0x10D6440

Divisor Catalog (28)

1 2 4 8 16 32 64 311 622 887 1,244 1,774 2,488 3,548 4,976 7,096 9,952 14,192 19,904 28,384 56,768 275,857 551,714 1,103,428 2,206,856 4,413,712 8,827,424 17,654,848

Collatz Trajectory (151 steps to reach 1)

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

17,654,848 8,827,424 4,413,712 2,206,856 1,103,428 551,714 275,857 827,572 413,786 206,893 620,680 310,340 155,170 77,585 232,756 116,378 58,189 174,568 87,284 43,642 21,821 65,464 32,732 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682

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