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3,940,875

32 × 53 × 31 × 113
Deficient Odd Composite

3,940,875 factors as 3^2 × 5^3 × 31 × 113. Its 48 positive divisors give a proper-divisor sum of 3,457,269, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 31 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,398,144
Proper Divisor Sum 3,457,269
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3940841 ← → #3940891

Radix Representation

Decimal 3940875
Binary 1111000010001000001011 (22 bits)
Octal 0o17021013
Hexadecimal 0x3C220B

Divisor Catalog (48)

1 3 5 9 15 25 31 45 75 93 113 125 155 225 279 339 375 465 565 775 1,017 1,125 1,395 1,695 2,325 2,825 3,503 3,875 5,085 6,975 8,475 10,509 11,625 14,125 17,515 25,425 31,527 34,875 42,375 52,545 87,575 127,125 157,635 262,725 437,875 788,175 1,313,625 3,940,875

Collatz Trajectory (216 steps to reach 1)

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

3,940,875 11,822,626 5,911,313 17,733,940 8,866,970 4,433,485 13,300,456 6,650,228 3,325,114 1,662,557 4,987,672 2,493,836 1,246,918 623,459 1,870,378 935,189 2,805,568 1,402,784 701,392 350,696 175,348 87,674 43,837 131,512 65,756 32,878 16,439 49,318 24,659 73,978 36,989 110,968 55,484 27,742 13,871 41,614 20,807 62,422 31,211 93,634 46,817 140,452 70,226 35,113 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997 149,992

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