λ
Prime Ledger

63,031

63031
Deficient Odd Prime

63,031 has the prime decomposition 63031. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 63031
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 63,032
Proper Divisor Sum 1
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #63029 ← → #63059

Radix Representation

Decimal 63031
Binary 1111011000110111 (16 bits)
Octal 0o173067
Hexadecimal 0xF637

Divisor Catalog (2)

1 63,031

Collatz Trajectory (86 steps to reach 1)

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

63,031 189,094 94,547 283,642 141,821 425,464 212,732 106,366 53,183 159,550 79,775 239,326 119,663 358,990 179,495 538,486 269,243 807,730 403,865 1,211,596 605,798 302,899 908,698 454,349 1,363,048 681,524 340,762 170,381 511,144 255,572 127,786 63,893 191,680 95,840 47,920 23,960 11,980 5,990 2,995 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404

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