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Atlas › Integer Profiles › Node 21,390,525

21,390,525

32 × 52 × 13 × 71 × 103
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 13 × 71 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 42,247,296
Proper Divisor Sum 20,856,771
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #21390517 ← → #21390541

Radix Representation

Decimal 21390525
Binary 1010001100110010010111101 (25 bits)
Octal 0o121462275
Hexadecimal 0x14664BD

Divisor Catalog (60 of 72)

1 3 5 9 13 15 25 39 45 65 71 75 103 117 195 213 225 309 325 355 515 585 639 923 927 975 1,065 1,339 1,545 1,775 2,575 2,769 2,925 3,195 4,017 4,615 4,635 5,325 6,695 7,313 7,725 8,307 12,051 13,845 15,975 20,085 21,939 23,075 23,175 33,475 36,565 41,535 60,255 65,817 69,225 95,069 100,425 109,695 182,825 207,675

Collatz Trajectory (265 steps to reach 1)

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

21,390,525 64,171,576 32,085,788 16,042,894 8,021,447 24,064,342 12,032,171 36,096,514 18,048,257 54,144,772 27,072,386 13,536,193 40,608,580 20,304,290 10,152,145 30,456,436 15,228,218 7,614,109 22,842,328 11,421,164 5,710,582 2,855,291 8,565,874 4,282,937 12,848,812 6,424,406 3,212,203 9,636,610 4,818,305 14,454,916 7,227,458 3,613,729 10,841,188 5,420,594 2,710,297 8,130,892 4,065,446 2,032,723 6,098,170 3,049,085 9,147,256 4,573,628 2,286,814 1,143,407 3,430,222 1,715,111 5,145,334 2,572,667 7,718,002 3,859,001 11,577,004 5,788,502 2,894,251 8,682,754 4,341,377 13,024,132 6,512,066 3,256,033 9,768,100 4,884,050

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