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Atlas › Integer Profiles › Node 9,684,909

9,684,909

32 × 13 × 23 × 59 × 61
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13 × 23 × 59 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,248,960
Proper Divisor Sum 6,564,051
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9684907 ← → #9684923

Radix Representation

Decimal 9684909
Binary 100100111100011110101101 (24 bits)
Octal 0o44743655
Hexadecimal 0x93C7AD

Divisor Catalog (48)

1 3 9 13 23 39 59 61 69 117 177 183 207 299 531 549 767 793 897 1,357 1,403 2,301 2,379 2,691 3,599 4,071 4,209 6,903 7,137 10,797 12,213 12,627 17,641 18,239 32,391 46,787 52,923 54,717 82,777 140,361 158,769 164,151 248,331 421,083 744,993 1,076,101 3,228,303 9,684,909

Collatz Trajectory (176 steps to reach 1)

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

9,684,909 29,054,728 14,527,364 7,263,682 3,631,841 10,895,524 5,447,762 2,723,881 8,171,644 4,085,822 2,042,911 6,128,734 3,064,367 9,193,102 4,596,551 13,789,654 6,894,827 20,684,482 10,342,241 31,026,724 15,513,362 7,756,681 23,270,044 11,635,022 5,817,511 17,452,534 8,726,267 26,178,802 13,089,401 39,268,204 19,634,102 9,817,051 29,451,154 14,725,577 44,176,732 22,088,366 11,044,183 33,132,550 16,566,275 49,698,826 24,849,413 74,548,240 37,274,120 18,637,060 9,318,530 4,659,265 13,977,796 6,988,898 3,494,449 10,483,348 5,241,674 2,620,837 7,862,512 3,931,256 1,965,628 982,814 491,407 1,474,222 737,111 2,211,334

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