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Atlas › Integer Profiles › Node 6,828,087

6,828,087

3 × 7 × 19 × 109 × 157
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 19 × 109 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,123,200
Proper Divisor Sum 4,295,113
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6828083 ← → #6828089

Radix Representation

Decimal 6828087
Binary 11010000011000000110111 (23 bits)
Octal 0o32030067
Hexadecimal 0x683037

Divisor Catalog (32)

1 3 7 19 21 57 109 133 157 327 399 471 763 1,099 2,071 2,289 2,983 3,297 6,213 8,949 14,497 17,113 20,881 43,491 51,339 62,643 119,791 325,147 359,373 975,441 2,276,029 6,828,087

Collatz Trajectory (253 steps to reach 1)

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

6,828,087 20,484,262 10,242,131 30,726,394 15,363,197 46,089,592 23,044,796 11,522,398 5,761,199 17,283,598 8,641,799 25,925,398 12,962,699 38,888,098 19,444,049 58,332,148 29,166,074 14,583,037 43,749,112 21,874,556 10,937,278 5,468,639 16,405,918 8,202,959 24,608,878 12,304,439 36,913,318 18,456,659 55,369,978 27,684,989 83,054,968 41,527,484 20,763,742 10,381,871 31,145,614 15,572,807 46,718,422 23,359,211 70,077,634 35,038,817 105,116,452 52,558,226 26,279,113 78,837,340 39,418,670 19,709,335 59,128,006 29,564,003 88,692,010 44,346,005 133,038,016 66,519,008 33,259,504 16,629,752 8,314,876 4,157,438 2,078,719 6,236,158 3,118,079 9,354,238

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