λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,808,166

5,808,166

2 × 72 × 13 × 47 × 97
Deficient Even Composite

5,808,166 factors as 2 × 7^2 × 13 × 47 × 97. Its 48 positive divisors give a proper-divisor sum of 5,453,210, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 47 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,261,376
Proper Divisor Sum 5,453,210
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5808161 ← → #5808193

Radix Representation

Decimal 5808166
Binary 10110001010000000100110 (23 bits)
Octal 0o26120046
Hexadecimal 0x58A026

Divisor Catalog (48)

1 2 7 13 14 26 47 49 91 94 97 98 182 194 329 611 637 658 679 1,222 1,261 1,274 1,358 2,303 2,522 4,277 4,559 4,606 4,753 8,554 8,827 9,118 9,506 17,654 29,939 31,913 59,267 59,878 61,789 63,826 118,534 123,578 223,391 414,869 446,782 829,738 2,904,083 5,808,166

Collatz Trajectory (95 steps to reach 1)

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

5,808,166 2,904,083 8,712,250 4,356,125 13,068,376 6,534,188 3,267,094 1,633,547 4,900,642 2,450,321 7,350,964 3,675,482 1,837,741 5,513,224 2,756,612 1,378,306 689,153 2,067,460 1,033,730 516,865 1,550,596 775,298 387,649 1,162,948 581,474 290,737 872,212 436,106 218,053 654,160 327,080 163,540 81,770 40,885 122,656 61,328 30,664 15,332 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,808,165 Browse Full Index Next Integer #5,808,167 →