λ
Sigma Notebook

4,661,679

3 × 11 × 141263
Deficient Odd Composite

4,661,679 is odd and not a perfect square. Its factorization is 3 × 11 × 141263 and its 8 divisors sum to 6,780,672.

Prime Factor Structure

Factorization String 3 × 11 × 141263
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,780,672
Proper Divisor Sum 2,118,993
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4661651 ← → #4661693

Radix Representation

Decimal 4661679
Binary 10001110010000110101111 (23 bits)
Octal 0o21620657
Hexadecimal 0x4721AF

Divisor Catalog (8)

1 3 11 33 141,263 423,789 1,553,893 4,661,679

Collatz Trajectory (154 steps to reach 1)

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

4,661,679 13,985,038 6,992,519 20,977,558 10,488,779 31,466,338 15,733,169 47,199,508 23,599,754 11,799,877 35,399,632 17,699,816 8,849,908 4,424,954 2,212,477 6,637,432 3,318,716 1,659,358 829,679 2,489,038 1,244,519 3,733,558 1,866,779 5,600,338 2,800,169 8,400,508 4,200,254 2,100,127 6,300,382 3,150,191 9,450,574 4,725,287 14,175,862 7,087,931 21,263,794 10,631,897 31,895,692 15,947,846 7,973,923 23,921,770 11,960,885 35,882,656 17,941,328 8,970,664 4,485,332 2,242,666 1,121,333 3,364,000 1,682,000 841,000 420,500 210,250 105,125 315,376 157,688 78,844 39,422 19,711 59,134 29,567

More profiles

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