λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,580,728

17,580,728

23 × 11 × 29 × 832
Abundant Even Composite

17,580,728 factors as 2^3 × 11 × 29 × 83^2. Its 48 positive divisors give a proper-divisor sum of 20,073,472, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 29 × 83^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 37,654,200
Proper Divisor Sum 20,073,472
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #17580727 ← → #17580769

Radix Representation

Decimal 17580728
Binary 1000011000100001010111000 (25 bits)
Octal 0o103041270
Hexadecimal 0x10C42B8

Divisor Catalog (48)

1 2 4 8 11 22 29 44 58 83 88 116 166 232 319 332 638 664 913 1,276 1,826 2,407 2,552 3,652 4,814 6,889 7,304 9,628 13,778 19,256 26,477 27,556 52,954 55,112 75,779 105,908 151,558 199,781 211,816 303,116 399,562 606,232 799,124 1,598,248 2,197,591 4,395,182 8,790,364 17,580,728

Collatz Trajectory (182 steps to reach 1)

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

17,580,728 8,790,364 4,395,182 2,197,591 6,592,774 3,296,387 9,889,162 4,944,581 14,833,744 7,416,872 3,708,436 1,854,218 927,109 2,781,328 1,390,664 695,332 347,666 173,833 521,500 260,750 130,375 391,126 195,563 586,690 293,345 880,036 440,018 220,009 660,028 330,014 165,007 495,022 247,511 742,534 371,267 1,113,802 556,901 1,670,704 835,352 417,676 208,838 104,419 313,258 156,629 469,888 234,944 117,472 58,736 29,368 14,684 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #17,580,727 Browse Full Index Next Integer #17,580,729 →