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Atlas › Integer Profiles › Node 7,704,099

7,704,099

33 × 13 × 47 × 467
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 13 × 47 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,579,840
Proper Divisor Sum 4,875,741
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7704097 ← → #7704119

Radix Representation

Decimal 7704099
Binary 11101011000111000100011 (23 bits)
Octal 0o35307043
Hexadecimal 0x758E23

Divisor Catalog (32)

1 3 9 13 27 39 47 117 141 351 423 467 611 1,269 1,401 1,833 4,203 5,499 6,071 12,609 16,497 18,213 21,949 54,639 65,847 163,917 197,541 285,337 592,623 856,011 2,568,033 7,704,099

Collatz Trajectory (354 steps to reach 1)

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

7,704,099 23,112,298 11,556,149 34,668,448 17,334,224 8,667,112 4,333,556 2,166,778 1,083,389 3,250,168 1,625,084 812,542 406,271 1,218,814 609,407 1,828,222 914,111 2,742,334 1,371,167 4,113,502 2,056,751 6,170,254 3,085,127 9,255,382 4,627,691 13,883,074 6,941,537 20,824,612 10,412,306 5,206,153 15,618,460 7,809,230 3,904,615 11,713,846 5,856,923 17,570,770 8,785,385 26,356,156 13,178,078 6,589,039 19,767,118 9,883,559 29,650,678 14,825,339 44,476,018 22,238,009 66,714,028 33,357,014 16,678,507 50,035,522 25,017,761 75,053,284 37,526,642 18,763,321 56,289,964 28,144,982 14,072,491 42,217,474 21,108,737 63,326,212

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