26,172,058

2 × 11² × 83 × 1303

26,172,058 factors as 2 × 11^2 × 83 × 1303. Its 24 positive divisors give a proper-divisor sum of 17,532,806, so this integer is deficient. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 83 × 1303

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 43,704,864

Proper Divisor Sum 17,532,806

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #26172053 ← → #26172077

Radix Representation

Decimal	26172058
Binary	1100011110101101010011010 (25 bits)
Octal	0o143655232
Hexadecimal	0x18F5A9A

Divisor Catalog (24)

Collatz Trajectory (242 steps to reach 1)

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

26,172,058 13,086,029 39,258,088 19,629,044 9,814,522 4,907,261 14,721,784 7,360,892 3,680,446 1,840,223 5,520,670 2,760,335 8,281,006 4,140,503 12,421,510 6,210,755 18,632,266 9,316,133 27,948,400 13,974,200 6,987,100 3,493,550 1,746,775 5,240,326 2,620,163 7,860,490 3,930,245 11,790,736 5,895,368 2,947,684 1,473,842 736,921 2,210,764 1,105,382 552,691 1,658,074 829,037 2,487,112 1,243,556 621,778 310,889 932,668 466,334 233,167 699,502 349,751 1,049,254 524,627 1,573,882 786,941 2,360,824 1,180,412 590,206 295,103 885,310 442,655 1,327,966 663,983 1,991,950 995,975

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