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Atlas › Integer Profiles › Node 36,836,858

36,836,858

2 × 17 × 19 × 127 × 449
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 17 × 19 × 127 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,208,000
Proper Divisor Sum 25,371,142
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #36836857 ← → #36836881

Radix Representation

Decimal 36836858
Binary 10001100100001010111111010 (26 bits)
Octal 0o214412772
Hexadecimal 0x23215FA

Divisor Catalog (32)

1 2 17 19 34 38 127 254 323 449 646 898 2,159 2,413 4,318 4,826 7,633 8,531 15,266 17,062 41,021 57,023 82,042 114,046 145,027 290,054 969,391 1,083,437 1,938,782 2,166,874 18,418,429 36,836,858

Collatz Trajectory (214 steps to reach 1)

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

36,836,858 18,418,429 55,255,288 27,627,644 13,813,822 6,906,911 20,720,734 10,360,367 31,081,102 15,540,551 46,621,654 23,310,827 69,932,482 34,966,241 104,898,724 52,449,362 26,224,681 78,674,044 39,337,022 19,668,511 59,005,534 29,502,767 88,508,302 44,254,151 132,762,454 66,381,227 199,143,682 99,571,841 298,715,524 149,357,762 74,678,881 224,036,644 112,018,322 56,009,161 168,027,484 84,013,742 42,006,871 126,020,614 63,010,307 189,030,922 94,515,461 283,546,384 141,773,192 70,886,596 35,443,298 17,721,649 53,164,948 26,582,474 13,291,237 39,873,712 19,936,856 9,968,428 4,984,214 2,492,107 7,476,322 3,738,161 11,214,484 5,607,242 2,803,621 8,410,864

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