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Atlas › Integer Profiles › Node 5,774,932

5,774,932

22 × 23 × 41 × 1531
Deficient Even Composite

5,774,932 factors as 2^2 × 23 × 41 × 1531. Its 24 positive divisors give a proper-divisor sum of 5,034,860, so this integer is deficient. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 41 × 1531
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,809,792
Proper Divisor Sum 5,034,860
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5774911 ← → #5774939

Radix Representation

Decimal 5774932
Binary 10110000001111001010100 (23 bits)
Octal 0o26017124
Hexadecimal 0x581E54

Divisor Catalog (24)

1 2 4 23 41 46 82 92 164 943 1,531 1,886 3,062 3,772 6,124 35,213 62,771 70,426 125,542 140,852 251,084 1,443,733 2,887,466 5,774,932

Collatz Trajectory (170 steps to reach 1)

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

5,774,932 2,887,466 1,443,733 4,331,200 2,165,600 1,082,800 541,400 270,700 135,350 67,675 203,026 101,513 304,540 152,270 76,135 228,406 114,203 342,610 171,305 513,916 256,958 128,479 385,438 192,719 578,158 289,079 867,238 433,619 1,300,858 650,429 1,951,288 975,644 487,822 243,911 731,734 365,867 1,097,602 548,801 1,646,404 823,202 411,601 1,234,804 617,402 308,701 926,104 463,052 231,526 115,763 347,290 173,645 520,936 260,468 130,234 65,117 195,352 97,676 48,838 24,419 73,258 36,629

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