λ
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Atlas › Integer Profiles › Node 3,378,045

3,378,045

3 × 5 × 11 × 59 × 347
Deficient Odd Composite

3,378,045 factors as 3 × 5 × 11 × 59 × 347. Its 32 positive divisors give a proper-divisor sum of 2,635,395, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 59 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,013,440
Proper Divisor Sum 2,635,395
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3378043 ← → #3378047

Radix Representation

Decimal 3378045
Binary 1100111000101101111101 (22 bits)
Octal 0o14705575
Hexadecimal 0x338B7D

Divisor Catalog (32)

1 3 5 11 15 33 55 59 165 177 295 347 649 885 1,041 1,735 1,947 3,245 3,817 5,205 9,735 11,451 19,085 20,473 57,255 61,419 102,365 225,203 307,095 675,609 1,126,015 3,378,045

Collatz Trajectory (84 steps to reach 1)

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

3,378,045 10,134,136 5,067,068 2,533,534 1,266,767 3,800,302 1,900,151 5,700,454 2,850,227 8,550,682 4,275,341 12,826,024 6,413,012 3,206,506 1,603,253 4,809,760 2,404,880 1,202,440 601,220 300,610 150,305 450,916 225,458 112,729 338,188 169,094 84,547 253,642 126,821 380,464 190,232 95,116 47,558 23,779 71,338 35,669 107,008 53,504 26,752 13,376 6,688 3,344 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101

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