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Atlas › Integer Profiles › Node 3,798,575

3,798,575

52 × 11 × 19 × 727
Deficient Odd Composite

3,798,575 factors as 5^2 × 11 × 19 × 727. Its 24 positive divisors give a proper-divisor sum of 1,617,745, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 19 × 727
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,416,320
Proper Divisor Sum 1,617,745
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #3798569 ← → #3798581

Radix Representation

Decimal 3798575
Binary 1110011111011000101111 (22 bits)
Octal 0o16373057
Hexadecimal 0x39F62F

Divisor Catalog (24)

1 5 11 19 25 55 95 209 275 475 727 1,045 3,635 5,225 7,997 13,813 18,175 39,985 69,065 151,943 199,925 345,325 759,715 3,798,575

Collatz Trajectory (102 steps to reach 1)

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

3,798,575 11,395,726 5,697,863 17,093,590 8,546,795 25,640,386 12,820,193 38,460,580 19,230,290 9,615,145 28,845,436 14,422,718 7,211,359 21,634,078 10,817,039 32,451,118 16,225,559 48,676,678 24,338,339 73,015,018 36,507,509 109,522,528 54,761,264 27,380,632 13,690,316 6,845,158 3,422,579 10,267,738 5,133,869 15,401,608 7,700,804 3,850,402 1,925,201 5,775,604 2,887,802 1,443,901 4,331,704 2,165,852 1,082,926 541,463 1,624,390 812,195 2,436,586 1,218,293 3,654,880 1,827,440 913,720 456,860 228,430 114,215 342,646 171,323 513,970 256,985 770,956 385,478 192,739 578,218 289,109 867,328

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