λ
Prime Ledger

997,741

997741
Deficient Odd Prime

997,741 has the prime decomposition 997741. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 997741
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 997,742
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #997739 ← → #997751

Radix Representation

Decimal 997741
Binary 11110011100101101101 (20 bits)
Octal 0o3634555
Hexadecimal 0xF396D

Divisor Catalog (2)

Collatz Trajectory (113 steps to reach 1)

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

997,741 2,993,224 1,496,612 748,306 374,153 1,122,460 561,230 280,615 841,846 420,923 1,262,770 631,385 1,894,156 947,078 473,539 1,420,618 710,309 2,130,928 1,065,464 532,732 266,366 133,183 399,550 199,775 599,326 299,663 898,990 449,495 1,348,486 674,243 2,022,730 1,011,365 3,034,096 1,517,048 758,524 379,262 189,631 568,894 284,447 853,342 426,671 1,280,014 640,007 1,920,022 960,011 2,880,034 1,440,017 4,320,052 2,160,026 1,080,013 3,240,040 1,620,020 810,010 405,005 1,215,016 607,508 303,754 151,877 455,632 227,816

More profiles

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