λ
Prime Ledger

665,723

665723
Deficient Odd Prime

665,723 has the prime decomposition 665723. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 665723
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 665,724
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #665719 ← → #665747

Radix Representation

Decimal 665723
Binary 10100010100001111011 (20 bits)
Octal 0o2424173
Hexadecimal 0xA287B

Divisor Catalog (2)

1 665,723

Collatz Trajectory (115 steps to reach 1)

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

665,723 1,997,170 998,585 2,995,756 1,497,878 748,939 2,246,818 1,123,409 3,370,228 1,685,114 842,557 2,527,672 1,263,836 631,918 315,959 947,878 473,939 1,421,818 710,909 2,132,728 1,066,364 533,182 266,591 799,774 399,887 1,199,662 599,831 1,799,494 899,747 2,699,242 1,349,621 4,048,864 2,024,432 1,012,216 506,108 253,054 126,527 379,582 189,791 569,374 284,687 854,062 427,031 1,281,094 640,547 1,921,642 960,821 2,882,464 1,441,232 720,616 360,308 180,154 90,077 270,232 135,116 67,558 33,779 101,338 50,669 152,008

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