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Atlas › Integer Profiles › Node 4,775,112

4,775,112

23 × 34 × 7369
Abundant Even Composite

4,775,112 factors as 2^3 × 3^4 × 7369. Its 40 positive divisors give a proper-divisor sum of 8,601,438, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 7369
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,376,550
Proper Divisor Sum 8,601,438
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4775093 ← → #4775119

Radix Representation

Decimal 4775112
Binary 10010001101110011001000 (23 bits)
Octal 0o22156310
Hexadecimal 0x48DCC8

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 7,369 14,738 22,107 29,476 44,214 58,952 66,321 88,428 132,642 176,856 198,963 265,284 397,926 530,568 596,889 795,852 1,193,778 1,591,704 2,387,556 4,775,112

Collatz Trajectory (105 steps to reach 1)

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

4,775,112 2,387,556 1,193,778 596,889 1,790,668 895,334 447,667 1,343,002 671,501 2,014,504 1,007,252 503,626 251,813 755,440 377,720 188,860 94,430 47,215 141,646 70,823 212,470 106,235 318,706 159,353 478,060 239,030 119,515 358,546 179,273 537,820 268,910 134,455 403,366 201,683 605,050 302,525 907,576 453,788 226,894 113,447 340,342 170,171 510,514 255,257 765,772 382,886 191,443 574,330 287,165 861,496 430,748 215,374 107,687 323,062 161,531 484,594 242,297 726,892 363,446 181,723

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