λ
Ratio Atlas

17,516,617

461 × 37997
Deficient Odd Composite

17,516,617 factors as 461 × 37997. Its 4 positive divisors give a proper-divisor sum of 38,459, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 461 × 37997
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 17,555,076
Proper Divisor Sum 38,459
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #17516599 ← → #17516621

Radix Representation

Decimal 17516617
Binary 1000010110100100001001001 (25 bits)
Octal 0o102644111
Hexadecimal 0x10B4849

Divisor Catalog (4)

Collatz Trajectory (174 steps to reach 1)

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

17,516,617 52,549,852 26,274,926 13,137,463 39,412,390 19,706,195 59,118,586 29,559,293 88,677,880 44,338,940 22,169,470 11,084,735 33,254,206 16,627,103 49,881,310 24,940,655 74,821,966 37,410,983 112,232,950 56,116,475 168,349,426 84,174,713 252,524,140 126,262,070 63,131,035 189,393,106 94,696,553 284,089,660 142,044,830 71,022,415 213,067,246 106,533,623 319,600,870 159,800,435 479,401,306 239,700,653 719,101,960 359,550,980 179,775,490 89,887,745 269,663,236 134,831,618 67,415,809 202,247,428 101,123,714 50,561,857 151,685,572 75,842,786 37,921,393 113,764,180 56,882,090 28,441,045 85,323,136 42,661,568 21,330,784 10,665,392 5,332,696 2,666,348 1,333,174 666,587

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