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Atlas › Integer Profiles › Node 9,769,848

9,769,848

23 × 3 × 11 × 23 × 1609
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 23 × 1609
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 27,820,800
Proper Divisor Sum 18,050,952
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #9769817 ← → #9769891

Radix Representation

Decimal 9769848
Binary 100101010001001101111000 (24 bits)
Octal 0o45211570
Hexadecimal 0x951378

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1,012 1,518 1,609 2,024 3,036 3,218 4,827 6,072 6,436 9,654 12,872 17,699 19,308 35,398 37,007 38,616 53,097 70,796 74,014 106,194 111,021 141,592 148,028 212,388 222,042 296,056 407,077 424,776 444,084 814,154 888,168 1,221,231 1,628,308

Collatz Trajectory (176 steps to reach 1)

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

9,769,848 4,884,924 2,442,462 1,221,231 3,663,694 1,831,847 5,495,542 2,747,771 8,243,314 4,121,657 12,364,972 6,182,486 3,091,243 9,273,730 4,636,865 13,910,596 6,955,298 3,477,649 10,432,948 5,216,474 2,608,237 7,824,712 3,912,356 1,956,178 978,089 2,934,268 1,467,134 733,567 2,200,702 1,100,351 3,301,054 1,650,527 4,951,582 2,475,791 7,427,374 3,713,687 11,141,062 5,570,531 16,711,594 8,355,797 25,067,392 12,533,696 6,266,848 3,133,424 1,566,712 783,356 391,678 195,839 587,518 293,759 881,278 440,639 1,321,918 660,959 1,982,878 991,439 2,974,318 1,487,159 4,461,478 2,230,739

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