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Atlas › Integer Profiles › Node 1,000,464

1,000,464

24 × 3 × 19 × 1097
Abundant Even Composite

1,000,464 factors as 2^4 × 3 × 19 × 1097. Its 40 positive divisors give a proper-divisor sum of 1,722,576, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 19 × 1097
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,723,040
Proper Divisor Sum 1,722,576
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1000457 ← → #1000507

Radix Representation

Decimal 1000464
Binary 11110100010000010000 (20 bits)
Octal 0o3642020
Hexadecimal 0xF4410

Divisor Catalog (40)

1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1,097 2,194 3,291 4,388 6,582 8,776 13,164 17,552 20,843 26,328 41,686 52,656 62,529 83,372 125,058 166,744 250,116 333,488 500,232 1,000,464

Collatz Trajectory (139 steps to reach 1)

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

1,000,464 500,232 250,116 125,058 62,529 187,588 93,794 46,897 140,692 70,346 35,173 105,520 52,760 26,380 13,190 6,595 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358

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