λ
Sigma Notebook

4,727,653

7 × 53 × 12743
Deficient Odd Composite

4,727,653 is odd and not a perfect square. Its factorization is 7 × 53 × 12743 and its 8 divisors sum to 5,505,408.

Prime Factor Structure

Factorization String 7 × 53 × 12743
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,505,408
Proper Divisor Sum 777,755
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4727647 ← → #4727687

Radix Representation

Decimal 4727653
Binary 10010000010001101100101 (23 bits)
Octal 0o22021545
Hexadecimal 0x482365

Divisor Catalog (8)

1 7 53 371 12,743 89,201 675,379 4,727,653

Collatz Trajectory (149 steps to reach 1)

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

4,727,653 14,182,960 7,091,480 3,545,740 1,772,870 886,435 2,659,306 1,329,653 3,988,960 1,994,480 997,240 498,620 249,310 124,655 373,966 186,983 560,950 280,475 841,426 420,713 1,262,140 631,070 315,535 946,606 473,303 1,419,910 709,955 2,129,866 1,064,933 3,194,800 1,597,400 798,700 399,350 199,675 599,026 299,513 898,540 449,270 224,635 673,906 336,953 1,010,860 505,430 252,715 758,146 379,073 1,137,220 568,610 284,305 852,916 426,458 213,229 639,688 319,844 159,922 79,961 239,884 119,942 59,971 179,914

More profiles

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