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Atlas › Integer Profiles › Node 1,062,232

1,062,232

23 × 232 × 251
Deficient Even Composite

1,062,232 factors as 2^3 × 23^2 × 251. Its 24 positive divisors give a proper-divisor sum of 1,028,108, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^3 × 23^2 × 251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,090,340
Proper Divisor Sum 1,028,108
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1062203 ← → #1062251

Radix Representation

Decimal 1062232
Binary 100000011010101011000 (21 bits)
Octal 0o4032530
Hexadecimal 0x103558

Divisor Catalog (24)

1 2 4 8 23 46 92 184 251 502 529 1,004 1,058 2,008 2,116 4,232 5,773 11,546 23,092 46,184 132,779 265,558 531,116 1,062,232

Collatz Trajectory (147 steps to reach 1)

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

1,062,232 531,116 265,558 132,779 398,338 199,169 597,508 298,754 149,377 448,132 224,066 112,033 336,100 168,050 84,025 252,076 126,038 63,019 189,058 94,529 283,588 141,794 70,897 212,692 106,346 53,173 159,520 79,760 39,880 19,940 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445

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