λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,272,588

4,272,588

22 × 34 × 13187
Abundant Even Composite

4,272,588 factors as 2^2 × 3^4 × 13187. Its 30 positive divisors give a proper-divisor sum of 6,897,648, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 13187
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 11,170,236
Proper Divisor Sum 6,897,648
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4272571 ← → #4272589

Radix Representation

Decimal 4272588
Binary 10000010011000111001100 (23 bits)
Octal 0o20230714
Hexadecimal 0x4131CC

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 13,187 26,374 39,561 52,748 79,122 118,683 158,244 237,366 356,049 474,732 712,098 1,068,147 1,424,196 2,136,294 4,272,588

Collatz Trajectory (123 steps to reach 1)

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

4,272,588 2,136,294 1,068,147 3,204,442 1,602,221 4,806,664 2,403,332 1,201,666 600,833 1,802,500 901,250 450,625 1,351,876 675,938 337,969 1,013,908 506,954 253,477 760,432 380,216 190,108 95,054 47,527 142,582 71,291 213,874 106,937 320,812 160,406 80,203 240,610 120,305 360,916 180,458 90,229 270,688 135,344 67,672 33,836 16,918 8,459 25,378 12,689 38,068 19,034 9,517 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754

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 #4,272,587 Browse Full Index Next Integer #4,272,589 →