24,367,540

2² × 5 × 29 × 42013

24,367,540 factors as 2^2 × 5 × 29 × 42013. Its 24 positive divisors give a proper-divisor sum of 28,570,100, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 42013

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 52,937,640

Proper Divisor Sum 28,570,100

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #24367537 ← → #24367547

Radix Representation

Decimal	24367540
Binary	1011100111101000110110100 (25 bits)
Octal	0o134750664
Hexadecimal	0x173D1B4

Divisor Catalog (24)

Collatz Trajectory (198 steps to reach 1)

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

24,367,540 12,183,770 6,091,885 18,275,656 9,137,828 4,568,914 2,284,457 6,853,372 3,426,686 1,713,343 5,140,030 2,570,015 7,710,046 3,855,023 11,565,070 5,782,535 17,347,606 8,673,803 26,021,410 13,010,705 39,032,116 19,516,058 9,758,029 29,274,088 14,637,044 7,318,522 3,659,261 10,977,784 5,488,892 2,744,446 1,372,223 4,116,670 2,058,335 6,175,006 3,087,503 9,262,510 4,631,255 13,893,766 6,946,883 20,840,650 10,420,325 31,260,976 15,630,488 7,815,244 3,907,622 1,953,811 5,861,434 2,930,717 8,792,152 4,396,076 2,198,038 1,099,019 3,297,058 1,648,529 4,945,588 2,472,794 1,236,397 3,709,192 1,854,596 927,298

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