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Atlas › Integer Profiles › Node 6,370,375

6,370,375

53 × 11 × 41 × 113
Deficient Odd Composite

6,370,375 factors as 5^3 × 11 × 41 × 113. Its 32 positive divisors give a proper-divisor sum of 2,592,761, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 5^3 × 11 × 41 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,963,136
Proper Divisor Sum 2,592,761
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6370361 ← → #6370387

Radix Representation

Decimal 6370375
Binary 11000010011010001000111 (23 bits)
Octal 0o30232107
Hexadecimal 0x613447

Divisor Catalog (32)

1 5 11 25 41 55 113 125 205 275 451 565 1,025 1,243 1,375 2,255 2,825 4,633 5,125 6,215 11,275 14,125 23,165 31,075 50,963 56,375 115,825 155,375 254,815 579,125 1,274,075 6,370,375

Collatz Trajectory (147 steps to reach 1)

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

6,370,375 19,111,126 9,555,563 28,666,690 14,333,345 43,000,036 21,500,018 10,750,009 32,250,028 16,125,014 8,062,507 24,187,522 12,093,761 36,281,284 18,140,642 9,070,321 27,210,964 13,605,482 6,802,741 20,408,224 10,204,112 5,102,056 2,551,028 1,275,514 637,757 1,913,272 956,636 478,318 239,159 717,478 358,739 1,076,218 538,109 1,614,328 807,164 403,582 201,791 605,374 302,687 908,062 454,031 1,362,094 681,047 2,043,142 1,021,571 3,064,714 1,532,357 4,597,072 2,298,536 1,149,268 574,634 287,317 861,952 430,976 215,488 107,744 53,872 26,936 13,468 6,734

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