λ
Sigma Notebook

4,216,485

3 × 5 × 7 × 13 × 3089
Deficient Odd Composite

4,216,485 is odd and not a perfect square. Its factorization is 3 × 5 × 7 × 13 × 3089 and its 32 divisors sum to 8,305,920.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 3089
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,305,920
Proper Divisor Sum 4,089,435
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4216469 ← → #4216501

Radix Representation

Decimal 4216485
Binary 10000000101011010100101 (23 bits)
Octal 0o20053245
Hexadecimal 0x4056A5

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1,365 3,089 9,267 15,445 21,623 40,157 46,335 64,869 108,115 120,471 200,785 281,099 324,345 602,355 843,297 1,405,495 4,216,485

Collatz Trajectory (105 steps to reach 1)

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

4,216,485 12,649,456 6,324,728 3,162,364 1,581,182 790,591 2,371,774 1,185,887 3,557,662 1,778,831 5,336,494 2,668,247 8,004,742 4,002,371 12,007,114 6,003,557 18,010,672 9,005,336 4,502,668 2,251,334 1,125,667 3,377,002 1,688,501 5,065,504 2,532,752 1,266,376 633,188 316,594 158,297 474,892 237,446 118,723 356,170 178,085 534,256 267,128 133,564 66,782 33,391 100,174 50,087 150,262 75,131 225,394 112,697 338,092 169,046 84,523 253,570 126,785 380,356 190,178 95,089 285,268 142,634 71,317 213,952 106,976 53,488 26,744

More profiles

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