λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,141,568

46,141,568

27 × 11 × 32771
Abundant Even Composite

46,141,568 factors as 2^7 × 11 × 32771. Its 32 positive divisors give a proper-divisor sum of 54,140,752, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^7 × 11 × 32771
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 100,282,320
Proper Divisor Sum 54,140,752
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #46141549 ← → #46141577

Radix Representation

Decimal 46141568
Binary 10110000000001000010000000 (26 bits)
Octal 0o260010200
Hexadecimal 0x2C01080

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1,408 32,771 65,542 131,084 262,168 360,481 524,336 720,962 1,048,672 1,441,924 2,097,344 2,883,848 4,194,688 5,767,696 11,535,392 23,070,784 46,141,568

Collatz Trajectory (124 steps to reach 1)

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

46,141,568 23,070,784 11,535,392 5,767,696 2,883,848 1,441,924 720,962 360,481 1,081,444 540,722 270,361 811,084 405,542 202,771 608,314 304,157 912,472 456,236 228,118 114,059 342,178 171,089 513,268 256,634 128,317 384,952 192,476 96,238 48,119 144,358 72,179 216,538 108,269 324,808 162,404 81,202 40,601 121,804 60,902 30,451 91,354 45,677 137,032 68,516 34,258 17,129 51,388 25,694 12,847 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #46,141,567 Browse Full Index Next Integer #46,141,569 →