λ
Ratio Atlas
Atlas › Integer Profiles › Node 11,645,848

11,645,848

23 × 472 × 659
Deficient Even Composite

11,645,848 factors as 2^3 × 47^2 × 659. Its 24 positive divisors give a proper-divisor sum of 10,698,452, so this integer is deficient. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^3 × 47^2 × 659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,344,300
Proper Divisor Sum 10,698,452
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #11645831 ← → #11645857

Radix Representation

Decimal 11645848
Binary 101100011011001110011000 (24 bits)
Octal 0o54331630
Hexadecimal 0xB1B398

Divisor Catalog (24)

1 2 4 8 47 94 188 376 659 1,318 2,209 2,636 4,418 5,272 8,836 17,672 30,973 61,946 123,892 247,784 1,455,731 2,911,462 5,822,924 11,645,848

Collatz Trajectory (78 steps to reach 1)

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

11,645,848 5,822,924 2,911,462 1,455,731 4,367,194 2,183,597 6,550,792 3,275,396 1,637,698 818,849 2,456,548 1,228,274 614,137 1,842,412 921,206 460,603 1,381,810 690,905 2,072,716 1,036,358 518,179 1,554,538 777,269 2,331,808 1,165,904 582,952 291,476 145,738 72,869 218,608 109,304 54,652 27,326 13,663 40,990 20,495 61,486 30,743 92,230 46,115 138,346 69,173 207,520 103,760 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216 608 304 152 76 38 19 58

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #11,645,847 Browse Full Index Next Integer #11,645,849 →