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Atlas › Integer Profiles › Node 3,969,075

3,969,075

3 × 52 × 11 × 17 × 283
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 17 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,606,656
Proper Divisor Sum 3,637,581
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3969071 ← → #3969137

Radix Representation

Decimal 3969075
Binary 1111001001000000110011 (22 bits)
Octal 0o17110063
Hexadecimal 0x3C9033

Divisor Catalog (48)

1 3 5 11 15 17 25 33 51 55 75 85 165 187 255 275 283 425 561 825 849 935 1,275 1,415 2,805 3,113 4,245 4,675 4,811 7,075 9,339 14,025 14,433 15,565 21,225 24,055 46,695 52,921 72,165 77,825 120,275 158,763 233,475 264,605 360,825 793,815 1,323,025 3,969,075

Collatz Trajectory (123 steps to reach 1)

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

3,969,075 11,907,226 5,953,613 17,860,840 8,930,420 4,465,210 2,232,605 6,697,816 3,348,908 1,674,454 837,227 2,511,682 1,255,841 3,767,524 1,883,762 941,881 2,825,644 1,412,822 706,411 2,119,234 1,059,617 3,178,852 1,589,426 794,713 2,384,140 1,192,070 596,035 1,788,106 894,053 2,682,160 1,341,080 670,540 335,270 167,635 502,906 251,453 754,360 377,180 188,590 94,295 282,886 141,443 424,330 212,165 636,496 318,248 159,124 79,562 39,781 119,344 59,672 29,836 14,918 7,459 22,378 11,189 33,568 16,784 8,392 4,196

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