λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,363,776

24,363,776

28 × 19 × 5009
Abundant Even Composite

24,363,776 factors as 2^8 × 19 × 5009. Its 36 positive divisors give a proper-divisor sum of 26,838,424, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^8 × 19 × 5009
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 51,202,200
Proper Divisor Sum 26,838,424
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #24363761 ← → #24363791

Radix Representation

Decimal 24363776
Binary 1011100111100001100000000 (25 bits)
Octal 0o134741400
Hexadecimal 0x173C300

Divisor Catalog (36)

1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1,216 2,432 4,864 5,009 10,018 20,036 40,072 80,144 95,171 160,288 190,342 320,576 380,684 641,152 761,368 1,282,304 1,522,736 3,045,472 6,090,944 12,181,888 24,363,776

Collatz Trajectory (110 steps to reach 1)

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

24,363,776 12,181,888 6,090,944 3,045,472 1,522,736 761,368 380,684 190,342 95,171 285,514 142,757 428,272 214,136 107,068 53,534 26,767 80,302 40,151 120,454 60,227 180,682 90,341 271,024 135,512 67,756 33,878 16,939 50,818 25,409 76,228 38,114 19,057 57,172 28,586 14,293 42,880 21,440 10,720 5,360 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719

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 #24,363,775 Browse Full Index Next Integer #24,363,777 →