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67,436,624

24 × 19 × 221831
Abundant Even Composite

67,436,624 factors as 2^4 × 19 × 221831. Its 20 positive divisors give a proper-divisor sum of 70,099,216, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 221831
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 137,535,840
Proper Divisor Sum 70,099,216
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #67436623 ← → #67436669

Radix Representation

Decimal 67436624
Binary 100000001010000000001010000 (27 bits)
Octal 0o401200120
Hexadecimal 0x4050050

Divisor Catalog (20)

1 2 4 8 16 19 38 76 152 304 221,831 443,662 887,324 1,774,648 3,549,296 4,214,789 8,429,578 16,859,156 33,718,312 67,436,624

Collatz Trajectory (65 steps to reach 1)

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

67,436,624 33,718,312 16,859,156 8,429,578 4,214,789 12,644,368 6,322,184 3,161,092 1,580,546 790,273 2,370,820 1,185,410 592,705 1,778,116 889,058 444,529 1,333,588 666,794 333,397 1,000,192 500,096 250,048 125,024 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10

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