λ
Sequence Observatory

5,320,284

22 × 3 × 127 × 3491
Abundant Even Composite

Starting at 5,320,284, the Collatz iteration reaches 1 after 118 steps. The first transition is 2660142; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 127 × 3491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,515,328
Proper Divisor Sum 7,195,044
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5320279 ← → #5320297

Radix Representation

Decimal 5320284
Binary 10100010010111001011100 (23 bits)
Octal 0o24227134
Hexadecimal 0x512E5C

Divisor Catalog (24)

1 2 3 4 6 12 127 254 381 508 762 1,524 3,491 6,982 10,473 13,964 20,946 41,892 443,357 886,714 1,330,071 1,773,428 2,660,142 5,320,284

Collatz Trajectory (118 steps to reach 1)

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

5,320,284 2,660,142 1,330,071 3,990,214 1,995,107 5,985,322 2,992,661 8,977,984 4,488,992 2,244,496 1,122,248 561,124 280,562 140,281 420,844 210,422 105,211 315,634 157,817 473,452 236,726 118,363 355,090 177,545 532,636 266,318 133,159 399,478 199,739 599,218 299,609 898,828 449,414 224,707 674,122 337,061 1,011,184 505,592 252,796 126,398 63,199 189,598 94,799 284,398 142,199 426,598 213,299 639,898 319,949 959,848 479,924 239,962 119,981 359,944 179,972 89,986 44,993 134,980 67,490 33,745

More profiles

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