λ
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17,123,778

2 × 33 × 7 × 89 × 509
Abundant Even Composite

17,123,778 factors as 2 × 3^3 × 7 × 89 × 509. Its 64 positive divisors give a proper-divisor sum of 26,940,222, so this integer is abundant. The Collatz stopping time is 306 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 89 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 44,064,000
Proper Divisor Sum 26,940,222
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17123741 ← → #17123779

Radix Representation

Decimal 17123778
Binary 1000001010100100111000010 (25 bits)
Octal 0o101244702
Hexadecimal 0x10549C2

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 42 54 63 89 126 178 189 267 378 509 534 623 801 1,018 1,246 1,527 1,602 1,869 2,403 3,054 3,563 3,738 4,581 4,806 5,607 7,126 9,162 10,689 11,214 13,743 16,821 21,378 27,486 32,067 33,642 45,301 64,134 90,602 96,201 135,903 192,402 271,806 317,107 407,709 634,214 815,418 951,321 1,223,127 1,902,642 2,446,254

Collatz Trajectory (306 steps to reach 1)

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

17,123,778 8,561,889 25,685,668 12,842,834 6,421,417 19,264,252 9,632,126 4,816,063 14,448,190 7,224,095 21,672,286 10,836,143 32,508,430 16,254,215 48,762,646 24,381,323 73,143,970 36,571,985 109,715,956 54,857,978 27,428,989 82,286,968 41,143,484 20,571,742 10,285,871 30,857,614 15,428,807 46,286,422 23,143,211 69,429,634 34,714,817 104,144,452 52,072,226 26,036,113 78,108,340 39,054,170 19,527,085 58,581,256 29,290,628 14,645,314 7,322,657 21,967,972 10,983,986 5,491,993 16,475,980 8,237,990 4,118,995 12,356,986 6,178,493 18,535,480 9,267,740 4,633,870 2,316,935 6,950,806 3,475,403 10,426,210 5,213,105 15,639,316 7,819,658 3,909,829

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