λ
Ratio Atlas

24,809,790

2 × 3 × 5 × 29 × 28517
Abundant Even Composite

24,809,790 factors as 2 × 3 × 5 × 29 × 28517. Its 32 positive divisors give a proper-divisor sum of 36,789,090, so this integer is abundant. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 29 × 28517
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 61,598,880
Proper Divisor Sum 36,789,090
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #24809767 ← → #24809791

Radix Representation

Decimal 24809790
Binary 1011110101001000100111110 (25 bits)
Octal 0o136510476
Hexadecimal 0x17A913E

Divisor Catalog (32)

Collatz Trajectory (260 steps to reach 1)

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

24,809,790 12,404,895 37,214,686 18,607,343 55,822,030 27,911,015 83,733,046 41,866,523 125,599,570 62,799,785 188,399,356 94,199,678 47,099,839 141,299,518 70,649,759 211,949,278 105,974,639 317,923,918 158,961,959 476,885,878 238,442,939 715,328,818 357,664,409 1,072,993,228 536,496,614 268,248,307 804,744,922 402,372,461 1,207,117,384 603,558,692 301,779,346 150,889,673 452,669,020 226,334,510 113,167,255 339,501,766 169,750,883 509,252,650 254,626,325 763,878,976 381,939,488 190,969,744 95,484,872 47,742,436 23,871,218 11,935,609 35,806,828 17,903,414 8,951,707 26,855,122 13,427,561 40,282,684 20,141,342 10,070,671 30,212,014 15,106,007 45,318,022 22,659,011 67,977,034 33,988,517

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