λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,253,728
24,253,728
25 × 3 × 19 × 13297
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 19 × 13297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 67,021,920
Proper Divisor Sum 42,768,192
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #24253727 ← → #24253729

Radix Representation

Decimal 24253728
Binary 1011100100001010100100000 (25 bits)
Octal 0o134412440
Hexadecimal 0x1721520

Divisor Catalog (48)

1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1,824 13,297 26,594 39,891 53,188 79,782 106,376 159,564 212,752 252,643 319,128 425,504 505,286 638,256 757,929 1,010,572 1,276,512 1,515,858 2,021,144 3,031,716 4,042,288 6,063,432 8,084,576 12,126,864 24,253,728

Collatz Trajectory (216 steps to reach 1)

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

24,253,728 12,126,864 6,063,432 3,031,716 1,515,858 757,929 2,273,788 1,136,894 568,447 1,705,342 852,671 2,558,014 1,279,007 3,837,022 1,918,511 5,755,534 2,877,767 8,633,302 4,316,651 12,949,954 6,474,977 19,424,932 9,712,466 4,856,233 14,568,700 7,284,350 3,642,175 10,926,526 5,463,263 16,389,790 8,194,895 24,584,686 12,292,343 36,877,030 18,438,515 55,315,546 27,657,773 82,973,320 41,486,660 20,743,330 10,371,665 31,114,996 15,557,498 7,778,749 23,336,248 11,668,124 5,834,062 2,917,031 8,751,094 4,375,547 13,126,642 6,563,321 19,689,964 9,844,982 4,922,491 14,767,474 7,383,737 22,151,212 11,075,606 5,537,803

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #24,253,727 Browse Full Index Next Integer #24,253,729 →