λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,957,766

5,957,766

2 × 33 × 31 × 3559
Abundant Even Composite

5,957,766 factors as 2 × 3^3 × 31 × 3559. Its 32 positive divisors give a proper-divisor sum of 7,712,634, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 31 × 3559
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,670,400
Proper Divisor Sum 7,712,634
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5957753 ← → #5957771

Radix Representation

Decimal 5957766
Binary 10110101110100010000110 (23 bits)
Octal 0o26564206
Hexadecimal 0x5AE886

Divisor Catalog (32)

1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1,674 3,559 7,118 10,677 21,354 32,031 64,062 96,093 110,329 192,186 220,658 330,987 661,974 992,961 1,985,922 2,978,883 5,957,766

Collatz Trajectory (121 steps to reach 1)

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

5,957,766 2,978,883 8,936,650 4,468,325 13,404,976 6,702,488 3,351,244 1,675,622 837,811 2,513,434 1,256,717 3,770,152 1,885,076 942,538 471,269 1,413,808 706,904 353,452 176,726 88,363 265,090 132,545 397,636 198,818 99,409 298,228 149,114 74,557 223,672 111,836 55,918 27,959 83,878 41,939 125,818 62,909 188,728 94,364 47,182 23,591 70,774 35,387 106,162 53,081 159,244 79,622 39,811 119,434 59,717 179,152 89,576 44,788 22,394 11,197 33,592 16,796 8,398 4,199 12,598 6,299

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,957,765 Browse Full Index Next Integer #5,957,767 →