λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,579,696

2,579,696

24 × 7 × 31 × 743
Abundant Even Composite

2,579,696 factors as 2^4 × 7 × 31 × 743. Its 40 positive divisors give a proper-divisor sum of 3,324,688, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 31 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,904,384
Proper Divisor Sum 3,324,688
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #2579693 ← → #2579711

Radix Representation

Decimal 2579696
Binary 1001110101110011110000 (22 bits)
Octal 0o11656360
Hexadecimal 0x275CF0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 743 868 1,486 1,736 2,972 3,472 5,201 5,944 10,402 11,888 20,804 23,033 41,608 46,066 83,216 92,132 161,231 184,264 322,462 368,528 644,924 1,289,848 2,579,696

Collatz Trajectory (187 steps to reach 1)

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

2,579,696 1,289,848 644,924 322,462 161,231 483,694 241,847 725,542 362,771 1,088,314 544,157 1,632,472 816,236 408,118 204,059 612,178 306,089 918,268 459,134 229,567 688,702 344,351 1,033,054 516,527 1,549,582 774,791 2,324,374 1,162,187 3,486,562 1,743,281 5,229,844 2,614,922 1,307,461 3,922,384 1,961,192 980,596 490,298 245,149 735,448 367,724 183,862 91,931 275,794 137,897 413,692 206,846 103,423 310,270 155,135 465,406 232,703 698,110 349,055 1,047,166 523,583 1,570,750 785,375 2,356,126 1,178,063 3,534,190

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,579,695 Browse Full Index Next Integer #2,579,697 →