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4,501,790

2 × 5 × 233 × 37
Deficient Even Composite

4,501,790 factors as 2 × 5 × 23^3 × 37. Its 32 positive divisors give a proper-divisor sum of 4,198,690, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23^3 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,700,480
Proper Divisor Sum 4,198,690
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4501781 ← → #4501817

Radix Representation

Decimal 4501790
Binary 10001001011000100011110 (23 bits)
Octal 0o21130436
Hexadecimal 0x44B11E

Divisor Catalog (32)

1 2 5 10 23 37 46 74 115 185 230 370 529 851 1,058 1,702 2,645 4,255 5,290 8,510 12,167 19,573 24,334 39,146 60,835 97,865 121,670 195,730 450,179 900,358 2,250,895 4,501,790

Collatz Trajectory (136 steps to reach 1)

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

4,501,790 2,250,895 6,752,686 3,376,343 10,129,030 5,064,515 15,193,546 7,596,773 22,790,320 11,395,160 5,697,580 2,848,790 1,424,395 4,273,186 2,136,593 6,409,780 3,204,890 1,602,445 4,807,336 2,403,668 1,201,834 600,917 1,802,752 901,376 450,688 225,344 112,672 56,336 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769

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