23,826,071

67 × 199 × 1787

23,826,071 factors as 67 × 199 × 1787. Its 8 positive divisors give a proper-divisor sum of 490,729, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 67 × 199 × 1787

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 24,316,800

Proper Divisor Sum 490,729

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #23826067 ← → #23826107

Radix Representation

Decimal	23826071
Binary	1011010111000111010010111 (25 bits)
Octal	0o132707227
Hexadecimal	0x16B8E97

Divisor Catalog (8)

1 67 199 1,787 13,333 119,729 355,613 23,826,071

Collatz Trajectory (123 steps to reach 1)

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

23,826,071 71,478,214 35,739,107 107,217,322 53,608,661 160,825,984 80,412,992 40,206,496 20,103,248 10,051,624 5,025,812 2,512,906 1,256,453 3,769,360 1,884,680 942,340 471,170 235,585 706,756 353,378 176,689 530,068 265,034 132,517 397,552 198,776 99,388 49,694 24,847 74,542 37,271 111,814 55,907 167,722 83,861 251,584 125,792 62,896 31,448 15,724 7,862 3,931 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198

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