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Atlas › Integer Profiles › Node 21,576,825

21,576,825

32 × 52 × 17 × 5641
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 17 × 5641
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 40,927,068
Proper Divisor Sum 19,350,243
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #21576817 ← → #21576827

Radix Representation

Decimal 21576825
Binary 1010010010011110001111001 (25 bits)
Octal 0o122236171
Hexadecimal 0x1493C79

Divisor Catalog (36)

1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1,275 3,825 5,641 16,923 28,205 50,769 84,615 95,897 141,025 253,845 287,691 423,075 479,485 863,073 1,269,225 1,438,455 2,397,425 4,315,365 7,192,275 21,576,825

Collatz Trajectory (141 steps to reach 1)

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

21,576,825 64,730,476 32,365,238 16,182,619 48,547,858 24,273,929 72,821,788 36,410,894 18,205,447 54,616,342 27,308,171 81,924,514 40,962,257 122,886,772 61,443,386 30,721,693 92,165,080 46,082,540 23,041,270 11,520,635 34,561,906 17,280,953 51,842,860 25,921,430 12,960,715 38,882,146 19,441,073 58,323,220 29,161,610 14,580,805 43,742,416 21,871,208 10,935,604 5,467,802 2,733,901 8,201,704 4,100,852 2,050,426 1,025,213 3,075,640 1,537,820 768,910 384,455 1,153,366 576,683 1,730,050 865,025 2,595,076 1,297,538 648,769 1,946,308 973,154 486,577 1,459,732 729,866 364,933 1,094,800 547,400 273,700 136,850

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