λ
Sigma Notebook

150,733

11 × 71 × 193
Deficient Odd Composite

150,733 is odd and not a perfect square. Its factorization is 11 × 71 × 193 and its 8 divisors sum to 167,616.

Prime Factor Structure

Factorization String 11 × 71 × 193
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 167,616
Proper Divisor Sum 16,883
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #150721 ← → #150743

Radix Representation

Decimal 150733
Binary 100100110011001101 (18 bits)
Octal 0o446315
Hexadecimal 0x24CCD

Divisor Catalog (8)

1 11 71 193 781 2,123 13,703 150,733

Collatz Trajectory (108 steps to reach 1)

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

150,733 452,200 226,100 113,050 56,525 169,576 84,788 42,394 21,197 63,592 31,796 15,898 7,949 23,848 11,924 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962

More profiles

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