λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,618,596

1,618,596

22 × 33 × 7 × 2141
Abundant Even Composite

1,618,596 factors as 2^2 × 3^3 × 7 × 2141. Its 48 positive divisors give a proper-divisor sum of 3,179,484, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 2141
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,798,080
Proper Divisor Sum 3,179,484
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1618559 ← → #1618601

Radix Representation

Decimal 1618596
Binary 110001011001010100100 (21 bits)
Octal 0o6131244
Hexadecimal 0x18B2A4

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2,141 4,282 6,423 8,564 12,846 14,987 19,269 25,692 29,974 38,538 44,961 57,807 59,948 77,076 89,922 115,614 134,883 179,844 231,228 269,766 404,649 539,532 809,298 1,618,596

Collatz Trajectory (207 steps to reach 1)

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

1,618,596 809,298 404,649 1,213,948 606,974 303,487 910,462 455,231 1,365,694 682,847 2,048,542 1,024,271 3,072,814 1,536,407 4,609,222 2,304,611 6,913,834 3,456,917 10,370,752 5,185,376 2,592,688 1,296,344 648,172 324,086 162,043 486,130 243,065 729,196 364,598 182,299 546,898 273,449 820,348 410,174 205,087 615,262 307,631 922,894 461,447 1,384,342 692,171 2,076,514 1,038,257 3,114,772 1,557,386 778,693 2,336,080 1,168,040 584,020 292,010 146,005 438,016 219,008 109,504 54,752 27,376 13,688 6,844 3,422 1,711

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,618,595 Browse Full Index Next Integer #1,618,597 →