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Atlas › Integer Profiles › Node 5,487,416

5,487,416

23 × 11 × 127 × 491
Abundant Even Composite

5,487,416 factors as 2^3 × 11 × 127 × 491. Its 32 positive divisors give a proper-divisor sum of 5,848,264, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 127 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,335,680
Proper Divisor Sum 5,848,264
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5487407 ← → #5487451

Radix Representation

Decimal 5487416
Binary 10100111011101100111000 (23 bits)
Octal 0o24735470
Hexadecimal 0x53BB38

Divisor Catalog (32)

1 2 4 8 11 22 44 88 127 254 491 508 982 1,016 1,397 1,964 2,794 3,928 5,401 5,588 10,802 11,176 21,604 43,208 62,357 124,714 249,428 498,856 685,927 1,371,854 2,743,708 5,487,416

Collatz Trajectory (139 steps to reach 1)

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

5,487,416 2,743,708 1,371,854 685,927 2,057,782 1,028,891 3,086,674 1,543,337 4,630,012 2,315,006 1,157,503 3,472,510 1,736,255 5,208,766 2,604,383 7,813,150 3,906,575 11,719,726 5,859,863 17,579,590 8,789,795 26,369,386 13,184,693 39,554,080 19,777,040 9,888,520 4,944,260 2,472,130 1,236,065 3,708,196 1,854,098 927,049 2,781,148 1,390,574 695,287 2,085,862 1,042,931 3,128,794 1,564,397 4,693,192 2,346,596 1,173,298 586,649 1,759,948 879,974 439,987 1,319,962 659,981 1,979,944 989,972 494,986 247,493 742,480 371,240 185,620 92,810 46,405 139,216 69,608 34,804

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