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Atlas › Integer Profiles › Node 3,909,477

3,909,477

3 × 11 × 132 × 701
Deficient Odd Composite

3,909,477 factors as 3 × 11 × 13^2 × 701. Its 24 positive divisors give a proper-divisor sum of 2,256,891, so this integer is deficient. The Collatz stopping time is 40 steps.

Prime Factor Structure

Factorization String 3 × 11 × 13^2 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,166,368
Proper Divisor Sum 2,256,891
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3909469 ← → #3909481

Radix Representation

Decimal 3909477
Binary 1110111010011101100101 (22 bits)
Octal 0o16723545
Hexadecimal 0x3BA765

Divisor Catalog (24)

1 3 11 13 33 39 143 169 429 507 701 1,859 2,103 5,577 7,711 9,113 23,133 27,339 100,243 118,469 300,729 355,407 1,303,159 3,909,477

Collatz Trajectory (40 steps to reach 1)

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

3,909,477 11,728,432 5,864,216 2,932,108 1,466,054 733,027 2,199,082 1,099,541 3,298,624 1,649,312 824,656 412,328 206,164 103,082 51,541 154,624 77,312 38,656 19,328 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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