λ
Sigma Notebook

5,708,637

34 × 11 × 43 × 149
Deficient Odd Composite

5,708,637 is odd and not a perfect square. Its factorization is 3^4 × 11 × 43 × 149 and its 40 divisors sum to 9,583,200.

Prime Factor Structure

Factorization String 3^4 × 11 × 43 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,583,200
Proper Divisor Sum 3,874,563
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5708627 ← → #5708639

Radix Representation

Decimal 5708637
Binary 10101110001101101011101 (23 bits)
Octal 0o25615535
Hexadecimal 0x571B5D

Divisor Catalog (40)

1 3 9 11 27 33 43 81 99 129 149 297 387 447 473 891 1,161 1,341 1,419 1,639 3,483 4,023 4,257 4,917 6,407 12,069 12,771 14,751 19,221 38,313 44,253 57,663 70,477 132,759 172,989 211,431 518,967 634,293 1,902,879 5,708,637

Collatz Trajectory (126 steps to reach 1)

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

5,708,637 17,125,912 8,562,956 4,281,478 2,140,739 6,422,218 3,211,109 9,633,328 4,816,664 2,408,332 1,204,166 602,083 1,806,250 903,125 2,709,376 1,354,688 677,344 338,672 169,336 84,668 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006

More profiles

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