λ
Ratio Atlas
Atlas › Integer Profiles › Node 11,637,610

11,637,610

2 × 5 × 37 × 71 × 443
Deficient Even Composite

11,637,610 factors as 2 × 5 × 37 × 71 × 443. Its 32 positive divisors give a proper-divisor sum of 10,228,502, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 71 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,866,112
Proper Divisor Sum 10,228,502
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #11637607 ← → #11637611

Radix Representation

Decimal 11637610
Binary 101100011001001101101010 (24 bits)
Octal 0o54311552
Hexadecimal 0xB1936A

Divisor Catalog (32)

1 2 5 10 37 71 74 142 185 355 370 443 710 886 2,215 2,627 4,430 5,254 13,135 16,391 26,270 31,453 32,782 62,906 81,955 157,265 163,910 314,530 1,163,761 2,327,522 5,818,805 11,637,610

Collatz Trajectory (228 steps to reach 1)

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

11,637,610 5,818,805 17,456,416 8,728,208 4,364,104 2,182,052 1,091,026 545,513 1,636,540 818,270 409,135 1,227,406 613,703 1,841,110 920,555 2,761,666 1,380,833 4,142,500 2,071,250 1,035,625 3,106,876 1,553,438 776,719 2,330,158 1,165,079 3,495,238 1,747,619 5,242,858 2,621,429 7,864,288 3,932,144 1,966,072 983,036 491,518 245,759 737,278 368,639 1,105,918 552,959 1,658,878 829,439 2,488,318 1,244,159 3,732,478 1,866,239 5,598,718 2,799,359 8,398,078 4,199,039 12,597,118 6,298,559 18,895,678 9,447,839 28,343,518 14,171,759 42,515,278 21,257,639 63,772,918 31,886,459 95,659,378

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #11,637,609 Browse Full Index Next Integer #11,637,611 →