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Atlas › Integer Profiles › Node 24,673,464

24,673,464

23 × 33 × 114229
Abundant Even Composite

24,673,464 factors as 2^3 × 3^3 × 114229. Its 32 positive divisors give a proper-divisor sum of 43,864,536, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 114229
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,538,000
Proper Divisor Sum 43,864,536
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #24673459 ← → #24673471

Radix Representation

Decimal 24673464
Binary 1011110000111110010111000 (25 bits)
Octal 0o136076270
Hexadecimal 0x1787CB8

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 114,229 228,458 342,687 456,916 685,374 913,832 1,028,061 1,370,748 2,056,122 2,741,496 3,084,183 4,112,244 6,168,366 8,224,488 12,336,732 24,673,464

Collatz Trajectory (242 steps to reach 1)

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

24,673,464 12,336,732 6,168,366 3,084,183 9,252,550 4,626,275 13,878,826 6,939,413 20,818,240 10,409,120 5,204,560 2,602,280 1,301,140 650,570 325,285 975,856 487,928 243,964 121,982 60,991 182,974 91,487 274,462 137,231 411,694 205,847 617,542 308,771 926,314 463,157 1,389,472 694,736 347,368 173,684 86,842 43,421 130,264 65,132 32,566 16,283 48,850 24,425 73,276 36,638 18,319 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086

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