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Atlas › Integer Profiles › Node 4,075,428

4,075,428

22 × 3 × 72 × 29 × 239
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 29 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 11,491,200
Proper Divisor Sum 7,415,772
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4075397 ← → #4075429

Radix Representation

Decimal 4075428
Binary 1111100010111110100100 (22 bits)
Octal 0o17427644
Hexadecimal 0x3E2FA4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 239 294 348 406 478 588 609 717 812 956 1,218 1,421 1,434 1,673 2,436 2,842 2,868 3,346 4,263 5,019 5,684 6,692 6,931 8,526 10,038 11,711 13,862 17,052 20,076 20,793 23,422 27,724 35,133 41,586 46,844 48,517 70,266 83,172

Collatz Trajectory (136 steps to reach 1)

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

4,075,428 2,037,714 1,018,857 3,056,572 1,528,286 764,143 2,292,430 1,146,215 3,438,646 1,719,323 5,157,970 2,578,985 7,736,956 3,868,478 1,934,239 5,802,718 2,901,359 8,704,078 4,352,039 13,056,118 6,528,059 19,584,178 9,792,089 29,376,268 14,688,134 7,344,067 22,032,202 11,016,101 33,048,304 16,524,152 8,262,076 4,131,038 2,065,519 6,196,558 3,098,279 9,294,838 4,647,419 13,942,258 6,971,129 20,913,388 10,456,694 5,228,347 15,685,042 7,842,521 23,527,564 11,763,782 5,881,891 17,645,674 8,822,837 26,468,512 13,234,256 6,617,128 3,308,564 1,654,282 827,141 2,481,424 1,240,712 620,356 310,178 155,089

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