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Atlas › Integer Profiles › Node 28,076,004

28,076,004

22 × 33 × 11 × 23633
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 23633
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 79,410,240
Proper Divisor Sum 51,334,236
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #28075991 ← → #28076057

Radix Representation

Decimal 28076004
Binary 1101011000110011111100100 (25 bits)
Octal 0o153063744
Hexadecimal 0x1AC67E4

Divisor Catalog (48)

1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1,188 23,633 47,266 70,899 94,532 141,798 212,697 259,963 283,596 425,394 519,926 638,091 779,889 850,788 1,039,852 1,276,182 1,559,778 2,339,667 2,552,364 3,119,556 4,679,334 7,019,001 9,358,668 14,038,002 28,076,004

Collatz Trajectory (131 steps to reach 1)

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

28,076,004 14,038,002 7,019,001 21,057,004 10,528,502 5,264,251 15,792,754 7,896,377 23,689,132 11,844,566 5,922,283 17,766,850 8,883,425 26,650,276 13,325,138 6,662,569 19,987,708 9,993,854 4,996,927 14,990,782 7,495,391 22,486,174 11,243,087 33,729,262 16,864,631 50,593,894 25,296,947 75,890,842 37,945,421 113,836,264 56,918,132 28,459,066 14,229,533 42,688,600 21,344,300 10,672,150 5,336,075 16,008,226 8,004,113 24,012,340 12,006,170 6,003,085 18,009,256 9,004,628 4,502,314 2,251,157 6,753,472 3,376,736 1,688,368 844,184 422,092 211,046 105,523 316,570 158,285 474,856 237,428 118,714 59,357 178,072

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