λ
Ratio Atlas

6,301,757

7 × 11 × 223 × 367
Deficient Odd Composite

6,301,757 factors as 7 × 11 × 223 × 367. Its 16 positive divisors give a proper-divisor sum of 1,611,715, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 7 × 11 × 223 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,913,472
Proper Divisor Sum 1,611,715
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6301739 ← → #6301759

Radix Representation

Decimal 6301757
Binary 11000000010100000111101 (23 bits)
Octal 0o30024075
Hexadecimal 0x60283D

Divisor Catalog (16)

1 7 11 77 223 367 1,561 2,453 2,569 4,037 17,171 28,259 81,841 572,887 900,251 6,301,757

Collatz Trajectory (152 steps to reach 1)

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

6,301,757 18,905,272 9,452,636 4,726,318 2,363,159 7,089,478 3,544,739 10,634,218 5,317,109 15,951,328 7,975,664 3,987,832 1,993,916 996,958 498,479 1,495,438 747,719 2,243,158 1,121,579 3,364,738 1,682,369 5,047,108 2,523,554 1,261,777 3,785,332 1,892,666 946,333 2,839,000 1,419,500 709,750 354,875 1,064,626 532,313 1,596,940 798,470 399,235 1,197,706 598,853 1,796,560 898,280 449,140 224,570 112,285 336,856 168,428 84,214 42,107 126,322 63,161 189,484 94,742 47,371 142,114 71,057 213,172 106,586 53,293 159,880 79,940 39,970

More profiles

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