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Atlas › Integer Profiles › Node 3,486,945

3,486,945

3 × 5 × 7 × 11 × 3019
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 3019
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,958,080
Proper Divisor Sum 3,471,135
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3486941 ← → #3486953

Radix Representation

Decimal 3486945
Binary 1101010011010011100001 (22 bits)
Octal 0o15232341
Hexadecimal 0x3534E1

Divisor Catalog (32)

1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1,155 3,019 9,057 15,095 21,133 33,209 45,285 63,399 99,627 105,665 166,045 232,463 316,995 498,135 697,389 1,162,315 3,486,945

Collatz Trajectory (159 steps to reach 1)

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

3,486,945 10,460,836 5,230,418 2,615,209 7,845,628 3,922,814 1,961,407 5,884,222 2,942,111 8,826,334 4,413,167 13,239,502 6,619,751 19,859,254 9,929,627 29,788,882 14,894,441 44,683,324 22,341,662 11,170,831 33,512,494 16,756,247 50,268,742 25,134,371 75,403,114 37,701,557 113,104,672 56,552,336 28,276,168 14,138,084 7,069,042 3,534,521 10,603,564 5,301,782 2,650,891 7,952,674 3,976,337 11,929,012 5,964,506 2,982,253 8,946,760 4,473,380 2,236,690 1,118,345 3,355,036 1,677,518 838,759 2,516,278 1,258,139 3,774,418 1,887,209 5,661,628 2,830,814 1,415,407 4,246,222 2,123,111 6,369,334 3,184,667 9,554,002 4,777,001

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