λ
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Atlas › Integer Profiles › Node 17,673,172

17,673,172

22 × 11 × 43 × 9341
Deficient Even Composite

17,673,172 factors as 2^2 × 11 × 43 × 9341. Its 24 positive divisors give a proper-divisor sum of 16,854,860, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 43 × 9341
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 34,528,032
Proper Divisor Sum 16,854,860
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #17673167 ← → #17673181

Radix Representation

Decimal 17673172
Binary 1000011011010101111010100 (25 bits)
Octal 0o103325724
Hexadecimal 0x10DABD4

Divisor Catalog (24)

1 2 4 11 22 43 44 86 172 473 946 1,892 9,341 18,682 37,364 102,751 205,502 401,663 411,004 803,326 1,606,652 4,418,293 8,836,586 17,673,172

Collatz Trajectory (151 steps to reach 1)

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

17,673,172 8,836,586 4,418,293 13,254,880 6,627,440 3,313,720 1,656,860 828,430 414,215 1,242,646 621,323 1,863,970 931,985 2,795,956 1,397,978 698,989 2,096,968 1,048,484 524,242 262,121 786,364 393,182 196,591 589,774 294,887 884,662 442,331 1,326,994 663,497 1,990,492 995,246 497,623 1,492,870 746,435 2,239,306 1,119,653 3,358,960 1,679,480 839,740 419,870 209,935 629,806 314,903 944,710 472,355 1,417,066 708,533 2,125,600 1,062,800 531,400 265,700 132,850 66,425 199,276 99,638 49,819 149,458 74,729 224,188 112,094

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