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Atlas › Integer Profiles › Node 24,322,166

24,322,166

2 × 11 × 19 × 31 × 1877
Deficient Even Composite

24,322,166 factors as 2 × 11 × 19 × 31 × 1877. Its 32 positive divisors give a proper-divisor sum of 18,946,954, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2 × 11 × 19 × 31 × 1877
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 43,269,120
Proper Divisor Sum 18,946,954
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #24322157 ← → #24322169

Radix Representation

Decimal 24322166
Binary 1011100110010000001110110 (25 bits)
Octal 0o134620166
Hexadecimal 0x1732076

Divisor Catalog (32)

1 2 11 19 22 31 38 62 209 341 418 589 682 1,178 1,877 3,754 6,479 12,958 20,647 35,663 41,294 58,187 71,326 116,374 392,293 640,057 784,586 1,105,553 1,280,114 2,211,106 12,161,083 24,322,166

Collatz Trajectory (141 steps to reach 1)

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

24,322,166 12,161,083 36,483,250 18,241,625 54,724,876 27,362,438 13,681,219 41,043,658 20,521,829 61,565,488 30,782,744 15,391,372 7,695,686 3,847,843 11,543,530 5,771,765 17,315,296 8,657,648 4,328,824 2,164,412 1,082,206 541,103 1,623,310 811,655 2,434,966 1,217,483 3,652,450 1,826,225 5,478,676 2,739,338 1,369,669 4,109,008 2,054,504 1,027,252 513,626 256,813 770,440 385,220 192,610 96,305 288,916 144,458 72,229 216,688 108,344 54,172 27,086 13,543 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425 154,276

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