λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,606,512

5,606,512

24 × 29 × 43 × 281
Abundant Even Composite

5,606,512 factors as 2^4 × 29 × 43 × 281. Its 40 positive divisors give a proper-divisor sum of 5,932,928, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 43 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 11,539,440
Proper Divisor Sum 5,932,928
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5606509 ← → #5606519

Radix Representation

Decimal 5606512
Binary 10101011000110001110000 (23 bits)
Octal 0o25306160
Hexadecimal 0x558C70

Divisor Catalog (40)

1 2 4 8 16 29 43 58 86 116 172 232 281 344 464 562 688 1,124 1,247 2,248 2,494 4,496 4,988 8,149 9,976 12,083 16,298 19,952 24,166 32,596 48,332 65,192 96,664 130,384 193,328 350,407 700,814 1,401,628 2,803,256 5,606,512

Collatz Trajectory (108 steps to reach 1)

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

5,606,512 2,803,256 1,401,628 700,814 350,407 1,051,222 525,611 1,576,834 788,417 2,365,252 1,182,626 591,313 1,773,940 886,970 443,485 1,330,456 665,228 332,614 166,307 498,922 249,461 748,384 374,192 187,096 93,548 46,774 23,387 70,162 35,081 105,244 52,622 26,311 78,934 39,467 118,402 59,201 177,604 88,802 44,401 133,204 66,602 33,301 99,904 49,952 24,976 12,488 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,606,511 Browse Full Index Next Integer #5,606,513 →