412,011

3² × 45779

412,011 factors as 3^2 × 45779. Its 6 positive divisors give a proper-divisor sum of 183,129, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 3^2 × 45779

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 595,140

Proper Divisor Sum 183,129

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #412007 ← → #412019

Radix Representation

Decimal	412011
Binary	1100100100101101011 (19 bits)
Octal	0o1444553
Hexadecimal	0x6496B

Divisor Catalog (6)

1 3 9 45,779 137,337 412,011

Collatz Trajectory (174 steps to reach 1)

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

412,011 1,236,034 618,017 1,854,052 927,026 463,513 1,390,540 695,270 347,635 1,042,906 521,453 1,564,360 782,180 391,090 195,545 586,636 293,318 146,659 439,978 219,989 659,968 329,984 164,992 82,496 41,248 20,624 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73

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