λ
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56,483,284

22 × 112 × 13 × 47 × 191
Abundant Even Composite

56,483,284 factors as 2^2 × 11^2 × 13 × 47 × 191. Its 72 positive divisors give a proper-divisor sum of 63,638,060, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 13 × 47 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 120,121,344
Proper Divisor Sum 63,638,060
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #56483261 ← → #56483293

Radix Representation

Decimal 56483284
Binary 11010111011101110111010100 (26 bits)
Octal 0o327356724
Hexadecimal 0x35DDDD4

Divisor Catalog (60 of 72)

1 2 4 11 13 22 26 44 47 52 94 121 143 188 191 242 286 382 484 517 572 611 764 1,034 1,222 1,573 2,068 2,101 2,444 2,483 3,146 4,202 4,966 5,687 6,292 6,721 8,404 8,977 9,932 11,374 13,442 17,954 22,748 23,111 26,884 27,313 35,908 46,222 54,626 73,931 92,444 98,747 109,252 116,701 147,862 197,494 233,402 295,724 300,443 394,988

Collatz Trajectory (163 steps to reach 1)

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

56,483,284 28,241,642 14,120,821 42,362,464 21,181,232 10,590,616 5,295,308 2,647,654 1,323,827 3,971,482 1,985,741 5,957,224 2,978,612 1,489,306 744,653 2,233,960 1,116,980 558,490 279,245 837,736 418,868 209,434 104,717 314,152 157,076 78,538 39,269 117,808 58,904 29,452 14,726 7,363 22,090 11,045 33,136 16,568 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47

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