10,541

83 × 127

Starting at 10,541, the Collatz iteration reaches 1 after 55 steps. The first transition is 31624; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 83 × 127

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,752

Proper Divisor Sum 211

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #10531 ← → #10559

Radix Representation

Decimal	10541
Binary	10100100101101 (14 bits)
Octal	0o24455
Hexadecimal	0x292D

Divisor Catalog (4)

1 83 127 10,541

Collatz Trajectory (55 steps to reach 1)

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

10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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