λ
Ratio Atlas

17,564,455

5 × 192 × 37 × 263
Deficient Odd Composite

17,564,455 factors as 5 × 19^2 × 37 × 263. Its 24 positive divisors give a proper-divisor sum of 5,368,697, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 5 × 19^2 × 37 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,933,152
Proper Divisor Sum 5,368,697
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #17564453 ← → #17564483

Radix Representation

Decimal 17564455
Binary 1000011000000001100100111 (25 bits)
Octal 0o103001447
Hexadecimal 0x10C0327

Divisor Catalog (24)

Collatz Trajectory (151 steps to reach 1)

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

17,564,455 52,693,366 26,346,683 79,040,050 39,520,025 118,560,076 59,280,038 29,640,019 88,920,058 44,460,029 133,380,088 66,690,044 33,345,022 16,672,511 50,017,534 25,008,767 75,026,302 37,513,151 112,539,454 56,269,727 168,809,182 84,404,591 253,213,774 126,606,887 379,820,662 189,910,331 569,730,994 284,865,497 854,596,492 427,298,246 213,649,123 640,947,370 320,473,685 961,421,056 480,710,528 240,355,264 120,177,632 60,088,816 30,044,408 15,022,204 7,511,102 3,755,551 11,266,654 5,633,327 16,899,982 8,449,991 25,349,974 12,674,987 38,024,962 19,012,481 57,037,444 28,518,722 14,259,361 42,778,084 21,389,042 10,694,521 32,083,564 16,041,782 8,020,891 24,062,674

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