λ
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Atlas › Integer Profiles › Node 26,324,772

26,324,772

22 × 3 × 17 × 43 × 3001
Abundant Even Composite

26,324,772 factors as 2^2 × 3 × 17 × 43 × 3001. Its 48 positive divisors give a proper-divisor sum of 40,247,580, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 43 × 3001
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 66,572,352
Proper Divisor Sum 40,247,580
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #26324743 ← → #26324773

Radix Representation

Decimal 26324772
Binary 1100100011010111100100100 (25 bits)
Octal 0o144327444
Hexadecimal 0x191AF24

Divisor Catalog (48)

1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1,462 2,193 2,924 3,001 4,386 6,002 8,772 9,003 12,004 18,006 36,012 51,017 102,034 129,043 153,051 204,068 258,086 306,102 387,129 516,172 612,204 774,258 1,548,516 2,193,731 4,387,462 6,581,193 8,774,924 13,162,386 26,324,772

Collatz Trajectory (149 steps to reach 1)

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

26,324,772 13,162,386 6,581,193 19,743,580 9,871,790 4,935,895 14,807,686 7,403,843 22,211,530 11,105,765 33,317,296 16,658,648 8,329,324 4,164,662 2,082,331 6,246,994 3,123,497 9,370,492 4,685,246 2,342,623 7,027,870 3,513,935 10,541,806 5,270,903 15,812,710 7,906,355 23,719,066 11,859,533 35,578,600 17,789,300 8,894,650 4,447,325 13,341,976 6,670,988 3,335,494 1,667,747 5,003,242 2,501,621 7,504,864 3,752,432 1,876,216 938,108 469,054 234,527 703,582 351,791 1,055,374 527,687 1,583,062 791,531 2,374,594 1,187,297 3,561,892 1,780,946 890,473 2,671,420 1,335,710 667,855 2,003,566 1,001,783

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