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Atlas › Integer Profiles › Node 21,931,024

21,931,024

24 × 89 × 15401
Deficient Even Composite

21,931,024 factors as 2^4 × 89 × 15401. Its 20 positive divisors give a proper-divisor sum of 21,040,556, so this integer is deficient. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^4 × 89 × 15401
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 42,971,580
Proper Divisor Sum 21,040,556
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #21931001 ← → #21931027

Radix Representation

Decimal 21931024
Binary 1010011101010010000010000 (25 bits)
Octal 0o123522020
Hexadecimal 0x14EA410

Divisor Catalog (20)

1 2 4 8 16 89 178 356 712 1,424 15,401 30,802 61,604 123,208 246,416 1,370,689 2,741,378 5,482,756 10,965,512 21,931,024

Collatz Trajectory (58 steps to reach 1)

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

21,931,024 10,965,512 5,482,756 2,741,378 1,370,689 4,112,068 2,056,034 1,028,017 3,084,052 1,542,026 771,013 2,313,040 1,156,520 578,260 289,130 144,565 433,696 216,848 108,424 54,212 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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