λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,469,888

5,469,888

26 × 3 × 31 × 919
Abundant Even Composite

5,469,888 factors as 2^6 × 3 × 31 × 919. Its 56 positive divisors give a proper-divisor sum of 9,485,632, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 31 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 14,955,520
Proper Divisor Sum 9,485,632
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #5469887 ← → #5469889

Radix Representation

Decimal 5469888
Binary 10100110111011011000000 (23 bits)
Octal 0o24673300
Hexadecimal 0x5376C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 919 992 1,488 1,838 1,984 2,757 2,976 3,676 5,514 5,952 7,352 11,028 14,704 22,056 28,489 29,408 44,112 56,978 58,816 85,467 88,224 113,956 170,934 176,448 227,912 341,868 455,824 683,736 911,648 1,367,472 1,823,296 2,734,944 5,469,888

Collatz Trajectory (108 steps to reach 1)

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

5,469,888 2,734,944 1,367,472 683,736 341,868 170,934 85,467 256,402 128,201 384,604 192,302 96,151 288,454 144,227 432,682 216,341 649,024 324,512 162,256 81,128 40,564 20,282 10,141 30,424 15,212 7,606 3,803 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720

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 #5,469,887 Browse Full Index Next Integer #5,469,889 →