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Atlas › Integer Profiles › Node 4,634,847

4,634,847

33 × 7 × 137 × 179
Deficient Odd Composite

4,634,847 factors as 3^3 × 7 × 137 × 179. Its 32 positive divisors give a proper-divisor sum of 3,313,953, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 137 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,948,800
Proper Divisor Sum 3,313,953
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4634837 ← → #4634869

Radix Representation

Decimal 4634847
Binary 10001101011100011011111 (23 bits)
Octal 0o21534337
Hexadecimal 0x46B8DF

Divisor Catalog (32)

1 3 7 9 21 27 63 137 179 189 411 537 959 1,233 1,253 1,611 2,877 3,699 3,759 4,833 8,631 11,277 24,523 25,893 33,831 73,569 171,661 220,707 514,983 662,121 1,544,949 4,634,847

Collatz Trajectory (255 steps to reach 1)

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

4,634,847 13,904,542 6,952,271 20,856,814 10,428,407 31,285,222 15,642,611 46,927,834 23,463,917 70,391,752 35,195,876 17,597,938 8,798,969 26,396,908 13,198,454 6,599,227 19,797,682 9,898,841 29,696,524 14,848,262 7,424,131 22,272,394 11,136,197 33,408,592 16,704,296 8,352,148 4,176,074 2,088,037 6,264,112 3,132,056 1,566,028 783,014 391,507 1,174,522 587,261 1,761,784 880,892 440,446 220,223 660,670 330,335 991,006 495,503 1,486,510 743,255 2,229,766 1,114,883 3,344,650 1,672,325 5,016,976 2,508,488 1,254,244 627,122 313,561 940,684 470,342 235,171 705,514 352,757 1,058,272

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