λ
Ratio Atlas

24,774,328

23 × 19 × 162989
Deficient Even Composite

24,774,328 factors as 2^3 × 19 × 162989. Its 16 positive divisors give a proper-divisor sum of 24,122,672, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 162989
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 48,897,000
Proper Divisor Sum 24,122,672
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #24774319 ← → #24774353

Radix Representation

Decimal 24774328
Binary 1011110100000011010111000 (25 bits)
Octal 0o136403270
Hexadecimal 0x17A06B8

Divisor Catalog (16)

1 2 4 8 19 38 76 152 162,989 325,978 651,956 1,303,912 3,096,791 6,193,582 12,387,164 24,774,328

Collatz Trajectory (167 steps to reach 1)

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

24,774,328 12,387,164 6,193,582 3,096,791 9,290,374 4,645,187 13,935,562 6,967,781 20,903,344 10,451,672 5,225,836 2,612,918 1,306,459 3,919,378 1,959,689 5,879,068 2,939,534 1,469,767 4,409,302 2,204,651 6,613,954 3,306,977 9,920,932 4,960,466 2,480,233 7,440,700 3,720,350 1,860,175 5,580,526 2,790,263 8,370,790 4,185,395 12,556,186 6,278,093 18,834,280 9,417,140 4,708,570 2,354,285 7,062,856 3,531,428 1,765,714 882,857 2,648,572 1,324,286 662,143 1,986,430 993,215 2,979,646 1,489,823 4,469,470 2,234,735 6,704,206 3,352,103 10,056,310 5,028,155 15,084,466 7,542,233 22,626,700 11,313,350 5,656,675

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