λ
Zalai Atlas

774,184

23 × 29 × 47 × 71
Abundant Even Composite

774,184 has the prime decomposition 2^3 × 29 × 47 × 71. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 29 × 47 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,555,200
Proper Divisor Sum 781,016
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #774181 ← → #774199

Radix Representation

Decimal 774184
Binary 10111101000000101000 (20 bits)
Octal 0o2750050
Hexadecimal 0xBD028

Divisor Catalog (32)

1 2 4 8 29 47 58 71 94 116 142 188 232 284 376 568 1,363 2,059 2,726 3,337 4,118 5,452 6,674 8,236 10,904 13,348 16,472 26,696 96,773 193,546 387,092 774,184

Collatz Trajectory (100 steps to reach 1)

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

774,184 387,092 193,546 96,773 290,320 145,160 72,580 36,290 18,145 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524

More profiles

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