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Atlas › Integer Profiles › Node 6,236,775

6,236,775

32 × 52 × 53 × 523
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 53 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,403,288
Proper Divisor Sum 5,166,513
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6236771 ← → #6236801

Radix Representation

Decimal 6236775
Binary 10111110010101001100111 (23 bits)
Octal 0o27625147
Hexadecimal 0x5F2A67

Divisor Catalog (36)

1 3 5 9 15 25 45 53 75 159 225 265 477 523 795 1,325 1,569 2,385 2,615 3,975 4,707 7,845 11,925 13,075 23,535 27,719 39,225 83,157 117,675 138,595 249,471 415,785 692,975 1,247,355 2,078,925 6,236,775

Collatz Trajectory (196 steps to reach 1)

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

6,236,775 18,710,326 9,355,163 28,065,490 14,032,745 42,098,236 21,049,118 10,524,559 31,573,678 15,786,839 47,360,518 23,680,259 71,040,778 35,520,389 106,561,168 53,280,584 26,640,292 13,320,146 6,660,073 19,980,220 9,990,110 4,995,055 14,985,166 7,492,583 22,477,750 11,238,875 33,716,626 16,858,313 50,574,940 25,287,470 12,643,735 37,931,206 18,965,603 56,896,810 28,448,405 85,345,216 42,672,608 21,336,304 10,668,152 5,334,076 2,667,038 1,333,519 4,000,558 2,000,279 6,000,838 3,000,419 9,001,258 4,500,629 13,501,888 6,750,944 3,375,472 1,687,736 843,868 421,934 210,967 632,902 316,451 949,354 474,677 1,424,032

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