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Atlas › Integer Profiles › Node 24,258,429

24,258,429

32 × 132 × 41 × 389
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13^2 × 41 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 38,968,020
Proper Divisor Sum 14,709,591
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #24258427 ← → #24258433

Radix Representation

Decimal 24258429
Binary 1011100100010011101111101 (25 bits)
Octal 0o134423575
Hexadecimal 0x172277D

Divisor Catalog (36)

1 3 9 13 39 41 117 123 169 369 389 507 533 1,167 1,521 1,599 3,501 4,797 5,057 6,929 15,171 15,949 20,787 45,513 47,847 62,361 65,741 143,541 197,223 207,337 591,669 622,011 1,866,033 2,695,381 8,086,143 24,258,429

Collatz Trajectory (247 steps to reach 1)

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

24,258,429 72,775,288 36,387,644 18,193,822 9,096,911 27,290,734 13,645,367 40,936,102 20,468,051 61,404,154 30,702,077 92,106,232 46,053,116 23,026,558 11,513,279 34,539,838 17,269,919 51,809,758 25,904,879 77,714,638 38,857,319 116,571,958 58,285,979 174,857,938 87,428,969 262,286,908 131,143,454 65,571,727 196,715,182 98,357,591 295,072,774 147,536,387 442,609,162 221,304,581 663,913,744 331,956,872 165,978,436 82,989,218 41,494,609 124,483,828 62,241,914 31,120,957 93,362,872 46,681,436 23,340,718 11,670,359 35,011,078 17,505,539 52,516,618 26,258,309 78,774,928 39,387,464 19,693,732 9,846,866 4,923,433 14,770,300 7,385,150 3,692,575 11,077,726 5,538,863

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