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Atlas › Integer Profiles › Node 4,120,935

4,120,935

3 × 5 × 7 × 13 × 3019
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 3019
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,117,760
Proper Divisor Sum 3,996,825
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4120931 ← → #4120937

Radix Representation

Decimal 4120935
Binary 1111101110000101100111 (22 bits)
Octal 0o17560547
Hexadecimal 0x3EE167

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1,365 3,019 9,057 15,095 21,133 39,247 45,285 63,399 105,665 117,741 196,235 274,729 316,995 588,705 824,187 1,373,645 4,120,935

Collatz Trajectory (216 steps to reach 1)

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

4,120,935 12,362,806 6,181,403 18,544,210 9,272,105 27,816,316 13,908,158 6,954,079 20,862,238 10,431,119 31,293,358 15,646,679 46,940,038 23,470,019 70,410,058 35,205,029 105,615,088 52,807,544 26,403,772 13,201,886 6,600,943 19,802,830 9,901,415 29,704,246 14,852,123 44,556,370 22,278,185 66,834,556 33,417,278 16,708,639 50,125,918 25,062,959 75,188,878 37,594,439 112,783,318 56,391,659 169,174,978 84,587,489 253,762,468 126,881,234 63,440,617 190,321,852 95,160,926 47,580,463 142,741,390 71,370,695 214,112,086 107,056,043 321,168,130 160,584,065 481,752,196 240,876,098 120,438,049 361,314,148 180,657,074 90,328,537 270,985,612 135,492,806 67,746,403 203,239,210

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