λ
Sigma Notebook

335,729

335729
Deficient Odd Prime

335,729 is odd and not a perfect square. Its factorization is 335729 and its 2 divisors sum to 335,730.

Prime Factor Structure

Factorization String 335729
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 335,730
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #335719 ← → #335743

Radix Representation

Decimal 335729
Binary 1010001111101110001 (19 bits)
Octal 0o1217561
Hexadecimal 0x51F71

Divisor Catalog (2)

1 335,729

Collatz Trajectory (91 steps to reach 1)

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

335,729 1,007,188 503,594 251,797 755,392 377,696 188,848 94,424 47,212 23,606 11,803 35,410 17,705 53,116 26,558 13,279 39,838 19,919 59,758 29,879 89,638 44,819 134,458 67,229 201,688 100,844 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932 11,966 5,983 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355

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