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Atlas › Integer Profiles › Node 24,290,872

24,290,872

23 × 43 × 241 × 293
Deficient Even Composite

24,290,872 factors as 2^3 × 43 × 241 × 293. Its 32 positive divisors give a proper-divisor sum of 22,666,808, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 43 × 241 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 46,957,680
Proper Divisor Sum 22,666,808
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #24290857 ← → #24290923

Radix Representation

Decimal 24290872
Binary 1011100101010011000111000 (25 bits)
Octal 0o134523070
Hexadecimal 0x172A638

Divisor Catalog (32)

1 2 4 8 43 86 172 241 293 344 482 586 964 1,172 1,928 2,344 10,363 12,599 20,726 25,198 41,452 50,396 70,613 82,904 100,792 141,226 282,452 564,904 3,036,359 6,072,718 12,145,436 24,290,872

Collatz Trajectory (84 steps to reach 1)

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

24,290,872 12,145,436 6,072,718 3,036,359 9,109,078 4,554,539 13,663,618 6,831,809 20,495,428 10,247,714 5,123,857 15,371,572 7,685,786 3,842,893 11,528,680 5,764,340 2,882,170 1,441,085 4,323,256 2,161,628 1,080,814 540,407 1,621,222 810,611 2,431,834 1,215,917 3,647,752 1,823,876 911,938 455,969 1,367,908 683,954 341,977 1,025,932 512,966 256,483 769,450 384,725 1,154,176 577,088 288,544 144,272 72,136 36,068 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684

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