λ
Sigma Notebook

632,031

3 × 457 × 461
Deficient Odd Composite

632,031 is odd and not a perfect square. Its factorization is 3 × 457 × 461 and its 8 divisors sum to 846,384.

Prime Factor Structure

Factorization String 3 × 457 × 461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 846,384
Proper Divisor Sum 214,353
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #632029 ← → #632041

Radix Representation

Decimal 632031
Binary 10011010010011011111 (20 bits)
Octal 0o2322337
Hexadecimal 0x9A4DF

Divisor Catalog (8)

1 3 457 461 1,371 1,383 210,677 632,031

Collatz Trajectory (172 steps to reach 1)

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

632,031 1,896,094 948,047 2,844,142 1,422,071 4,266,214 2,133,107 6,399,322 3,199,661 9,598,984 4,799,492 2,399,746 1,199,873 3,599,620 1,799,810 899,905 2,699,716 1,349,858 674,929 2,024,788 1,012,394 506,197 1,518,592 759,296 379,648 189,824 94,912 47,456 23,728 11,864 5,932 2,966 1,483 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674

More profiles

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