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5,773,420

22 × 5 × 127 × 2273
Abundant Even Composite

5,773,420 factors as 2^2 × 5 × 127 × 2273. Its 24 positive divisors give a proper-divisor sum of 6,451,604, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 127 × 2273
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,225,024
Proper Divisor Sum 6,451,604
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5773393 ← → #5773423

Radix Representation

Decimal 5773420
Binary 10110000001100001101100 (23 bits)
Octal 0o26014154
Hexadecimal 0x58186C

Divisor Catalog (24)

1 2 4 5 10 20 127 254 508 635 1,270 2,273 2,540 4,546 9,092 11,365 22,730 45,460 288,671 577,342 1,154,684 1,443,355 2,886,710 5,773,420

Collatz Trajectory (214 steps to reach 1)

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

5,773,420 2,886,710 1,443,355 4,330,066 2,165,033 6,495,100 3,247,550 1,623,775 4,871,326 2,435,663 7,306,990 3,653,495 10,960,486 5,480,243 16,440,730 8,220,365 24,661,096 12,330,548 6,165,274 3,082,637 9,247,912 4,623,956 2,311,978 1,155,989 3,467,968 1,733,984 866,992 433,496 216,748 108,374 54,187 162,562 81,281 243,844 121,922 60,961 182,884 91,442 45,721 137,164 68,582 34,291 102,874 51,437 154,312 77,156 38,578 19,289 57,868 28,934 14,467 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104

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