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Atlas › Integer Profiles › Node 11,635,965

11,635,965

32 × 5 × 112 × 2137
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 11^2 × 2137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,179,612
Proper Divisor Sum 10,543,647
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11635937 ← → #11635979

Radix Representation

Decimal 11635965
Binary 101100011000110011111101 (24 bits)
Octal 0o54306375
Hexadecimal 0xB18CFD

Divisor Catalog (36)

1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1,089 1,815 2,137 5,445 6,411 10,685 19,233 23,507 32,055 70,521 96,165 117,535 211,563 258,577 352,605 775,731 1,057,815 1,292,885 2,327,193 3,878,655 11,635,965

Collatz Trajectory (153 steps to reach 1)

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

11,635,965 34,907,896 17,453,948 8,726,974 4,363,487 13,090,462 6,545,231 19,635,694 9,817,847 29,453,542 14,726,771 44,180,314 22,090,157 66,270,472 33,135,236 16,567,618 8,283,809 24,851,428 12,425,714 6,212,857 18,638,572 9,319,286 4,659,643 13,978,930 6,989,465 20,968,396 10,484,198 5,242,099 15,726,298 7,863,149 23,589,448 11,794,724 5,897,362 2,948,681 8,846,044 4,423,022 2,211,511 6,634,534 3,317,267 9,951,802 4,975,901 14,927,704 7,463,852 3,731,926 1,865,963 5,597,890 2,798,945 8,396,836 4,198,418 2,099,209 6,297,628 3,148,814 1,574,407 4,723,222 2,361,611 7,084,834 3,542,417 10,627,252 5,313,626 2,656,813

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