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Atlas › Integer Profiles › Node 3,301,536

3,301,536

25 × 3 × 7 × 173
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 17^3
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 10,523,520
Proper Divisor Sum 7,221,984
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3301513 ← → #3301541

Radix Representation

Decimal 3301536
Binary 1100100110000010100000 (22 bits)
Octal 0o14460240
Hexadecimal 0x3260A0

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 289 336 357 408 476 544 578 672 714 816 867 952 1,156 1,428 1,632 1,734 1,904 2,023 2,312 2,856 3,468 3,808 4,046 4,624 4,913 5,712 6,069 6,936

Collatz Trajectory (71 steps to reach 1)

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

3,301,536 1,650,768 825,384 412,692 206,346 103,173 309,520 154,760 77,380 38,690 19,345 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17

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