5,772,312

2³ × 3² × 7 × 13 × 881

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 13 × 881

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 19,262,880

Proper Divisor Sum 13,490,568

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5772311 ← → #5772317

Radix Representation

Decimal	5772312
Binary	10110000001010000011000 (23 bits)
Octal	0o26012030
Hexadecimal	0x581418

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 881 936 1,092 1,638 1,762 2,184 2,643 3,276 3,524 5,286 6,167 6,552 7,048 7,929 10,572 11,453 12,334 15,858

Collatz Trajectory (214 steps to reach 1)

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

5,772,312 2,886,156 1,443,078 721,539 2,164,618 1,082,309 3,246,928 1,623,464 811,732 405,866 202,933 608,800 304,400 152,200 76,100 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625

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