λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,928,024

24,928,024

23 × 11 × 229 × 1237
Abundant Even Composite

24,928,024 factors as 2^3 × 11 × 229 × 1237. Its 32 positive divisors give a proper-divisor sum of 26,325,176, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 229 × 1237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,253,200
Proper Divisor Sum 26,325,176
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #24927997 ← → #24928039

Radix Representation

Decimal 24928024
Binary 1011111000101111100011000 (25 bits)
Octal 0o137057430
Hexadecimal 0x17C5F18

Divisor Catalog (32)

1 2 4 8 11 22 44 88 229 458 916 1,237 1,832 2,474 2,519 4,948 5,038 9,896 10,076 13,607 20,152 27,214 54,428 108,856 283,273 566,546 1,133,092 2,266,184 3,116,003 6,232,006 12,464,012 24,928,024

Collatz Trajectory (198 steps to reach 1)

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

24,928,024 12,464,012 6,232,006 3,116,003 9,348,010 4,674,005 14,022,016 7,011,008 3,505,504 1,752,752 876,376 438,188 219,094 109,547 328,642 164,321 492,964 246,482 123,241 369,724 184,862 92,431 277,294 138,647 415,942 207,971 623,914 311,957 935,872 467,936 233,968 116,984 58,492 29,246 14,623 43,870 21,935 65,806 32,903 98,710 49,355 148,066 74,033 222,100 111,050 55,525 166,576 83,288 41,644 20,822 10,411 31,234 15,617 46,852 23,426 11,713 35,140 17,570 8,785 26,356

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #24,928,023 Browse Full Index Next Integer #24,928,025 →