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Atlas › Integer Profiles › Node 9,768,795

9,768,795

3 × 5 × 17 × 29 × 1321
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 17 × 29 × 1321
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,133,120
Proper Divisor Sum 7,364,325
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #9768769 ← → #9768797

Radix Representation

Decimal 9768795
Binary 100101010000111101011011 (24 bits)
Octal 0o45207533
Hexadecimal 0x950F5B

Divisor Catalog (32)

1 3 5 15 17 29 51 85 87 145 255 435 493 1,321 1,479 2,465 3,963 6,605 7,395 19,815 22,457 38,309 67,371 112,285 114,927 191,545 336,855 574,635 651,253 1,953,759 3,256,265 9,768,795

Collatz Trajectory (220 steps to reach 1)

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

9,768,795 29,306,386 14,653,193 43,959,580 21,979,790 10,989,895 32,969,686 16,484,843 49,454,530 24,727,265 74,181,796 37,090,898 18,545,449 55,636,348 27,818,174 13,909,087 41,727,262 20,863,631 62,590,894 31,295,447 93,886,342 46,943,171 140,829,514 70,414,757 211,244,272 105,622,136 52,811,068 26,405,534 13,202,767 39,608,302 19,804,151 59,412,454 29,706,227 89,118,682 44,559,341 133,678,024 66,839,012 33,419,506 16,709,753 50,129,260 25,064,630 12,532,315 37,596,946 18,798,473 56,395,420 28,197,710 14,098,855 42,296,566 21,148,283 63,444,850 31,722,425 95,167,276 47,583,638 23,791,819 71,375,458 35,687,729 107,063,188 53,531,594 26,765,797 80,297,392

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