λ
Sigma Notebook

745,729

23 × 32423
Deficient Odd Composite

745,729 is odd and not a perfect square. Its factorization is 23 × 32423 and its 4 divisors sum to 778,176.

Prime Factor Structure

Factorization String 23 × 32423
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 778,176
Proper Divisor Sum 32,447
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #745727 ← → #745733

Radix Representation

Decimal 745729
Binary 10110110000100000001 (20 bits)
Octal 0o2660401
Hexadecimal 0xB6101

Divisor Catalog (4)

1 23 32,423 745,729

Collatz Trajectory (118 steps to reach 1)

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

745,729 2,237,188 1,118,594 559,297 1,677,892 838,946 419,473 1,258,420 629,210 314,605 943,816 471,908 235,954 117,977 353,932 176,966 88,483 265,450 132,725 398,176 199,088 99,544 49,772 24,886 12,443 37,330 18,665 55,996 27,998 13,999 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314

More profiles

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