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Atlas › Integer Profiles › Node 3,673,065

3,673,065

3 × 5 × 11 × 113 × 197
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 113 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,500,736
Proper Divisor Sum 2,827,671
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3673039 ← → #3673069

Radix Representation

Decimal 3673065
Binary 1110000000101111101001 (22 bits)
Octal 0o16005751
Hexadecimal 0x380BE9

Divisor Catalog (32)

1 3 5 11 15 33 55 113 165 197 339 565 591 985 1,243 1,695 2,167 2,955 3,729 6,215 6,501 10,835 18,645 22,261 32,505 66,783 111,305 244,871 333,915 734,613 1,224,355 3,673,065

Collatz Trajectory (115 steps to reach 1)

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

3,673,065 11,019,196 5,509,598 2,754,799 8,264,398 4,132,199 12,396,598 6,198,299 18,594,898 9,297,449 27,892,348 13,946,174 6,973,087 20,919,262 10,459,631 31,378,894 15,689,447 47,068,342 23,534,171 70,602,514 35,301,257 105,903,772 52,951,886 26,475,943 79,427,830 39,713,915 119,141,746 59,570,873 178,712,620 89,356,310 44,678,155 134,034,466 67,017,233 201,051,700 100,525,850 50,262,925 150,788,776 75,394,388 37,697,194 18,848,597 56,545,792 28,272,896 14,136,448 7,068,224 3,534,112 1,767,056 883,528 441,764 220,882 110,441 331,324 165,662 82,831 248,494 124,247 372,742 186,371 559,114 279,557 838,672

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