λ
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Atlas › Integer Profiles › Node 1,042,216

1,042,216

23 × 7 × 37 × 503
Abundant Even Composite

1,042,216 factors as 2^3 × 7 × 37 × 503. Its 32 positive divisors give a proper-divisor sum of 1,256,024, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 37 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,298,240
Proper Divisor Sum 1,256,024
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1042211 ← → #1042241

Radix Representation

Decimal 1042216
Binary 11111110011100101000 (20 bits)
Octal 0o3763450
Hexadecimal 0xFE728

Divisor Catalog (32)

1 2 4 7 8 14 28 37 56 74 148 259 296 503 518 1,006 1,036 2,012 2,072 3,521 4,024 7,042 14,084 18,611 28,168 37,222 74,444 130,277 148,888 260,554 521,108 1,042,216

Collatz Trajectory (165 steps to reach 1)

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

1,042,216 521,108 260,554 130,277 390,832 195,416 97,708 48,854 24,427 73,282 36,641 109,924 54,962 27,481 82,444 41,222 20,611 61,834 30,917 92,752 46,376 23,188 11,594 5,797 17,392 8,696 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31

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