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Atlas › Integer Profiles › Node 2,631,728

2,631,728

24 × 11 × 19 × 787
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 11 × 19 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,862,720
Proper Divisor Sum 3,230,992
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2631701 ← → #2631731

Radix Representation

Decimal 2631728
Binary 1010000010100000110000 (22 bits)
Octal 0o12024060
Hexadecimal 0x282830

Divisor Catalog (40)

1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 787 836 1,574 1,672 3,148 3,344 6,296 8,657 12,592 14,953 17,314 29,906 34,628 59,812 69,256 119,624 138,512 164,483 239,248 328,966 657,932 1,315,864 2,631,728

Collatz Trajectory (63 steps to reach 1)

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

2,631,728 1,315,864 657,932 328,966 164,483 493,450 246,725 740,176 370,088 185,044 92,522 46,261 138,784 69,392 34,696 17,348 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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