541,307

13² × 3203

541,307 factors as 13^2 × 3203. Its 6 positive divisors give a proper-divisor sum of 45,025, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 13^2 × 3203

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 586,332

Proper Divisor Sum 45,025

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #541301 ← → #541309

Radix Representation

Decimal	541307
Binary	10000100001001111011 (20 bits)
Octal	0o2041173
Hexadecimal	0x8427B

Divisor Catalog (6)

1 13 169 3,203 41,639 541,307

Collatz Trajectory (208 steps to reach 1)

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

541,307 1,623,922 811,961 2,435,884 1,217,942 608,971 1,826,914 913,457 2,740,372 1,370,186 685,093 2,055,280 1,027,640 513,820 256,910 128,455 385,366 192,683 578,050 289,025 867,076 433,538 216,769 650,308 325,154 162,577 487,732 243,866 121,933 365,800 182,900 91,450 45,725 137,176 68,588 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602

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