24,379,950

2 × 3 × 5² × 7² × 31 × 107

24,379,950 factors as 2 × 3 × 5^2 × 7^2 × 31 × 107. Its 144 positive divisors give a proper-divisor sum of 48,901,074, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7^2 × 31 × 107

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 73,281,024

Proper Divisor Sum 48,901,074

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #24379937 ← → #24379951

Radix Representation

Decimal	24379950
Binary	1011101000000001000101110 (25 bits)
Octal	0o135001056
Hexadecimal	0x174022E

Divisor Catalog (60 of 144)

1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 49 50 62 70 75 93 98 105 107 147 150 155 175 186 210 214 217 245 294 310 321 350 434 465 490 525 535 642 651 735 749 775 930 1,050 1,070 1,085 1,225 1,302 1,470 1,498 1,519 1,550 1,605 2,170 2,247

Collatz Trajectory (92 steps to reach 1)

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

24,379,950 12,189,975 36,569,926 18,284,963 54,854,890 27,427,445 82,282,336 41,141,168 20,570,584 10,285,292 5,142,646 2,571,323 7,713,970 3,856,985 11,570,956 5,785,478 2,892,739 8,678,218 4,339,109 13,017,328 6,508,664 3,254,332 1,627,166 813,583 2,440,750 1,220,375 3,661,126 1,830,563 5,491,690 2,745,845 8,237,536 4,118,768 2,059,384 1,029,692 514,846 257,423 772,270 386,135 1,158,406 579,203 1,737,610 868,805 2,606,416 1,303,208 651,604 325,802 162,901 488,704 244,352 122,176 61,088 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716

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