λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,938,770

3,938,770

2 × 5 × 11 × 61 × 587
Deficient Even Composite

3,938,770 factors as 2 × 5 × 11 × 61 × 587. Its 32 positive divisors give a proper-divisor sum of 3,935,726, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 61 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,874,496
Proper Divisor Sum 3,935,726
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3938743 ← → #3938771

Radix Representation

Decimal 3938770
Binary 1111000001100111010010 (22 bits)
Octal 0o17014722
Hexadecimal 0x3C19D2

Divisor Catalog (32)

1 2 5 10 11 22 55 61 110 122 305 587 610 671 1,174 1,342 2,935 3,355 5,870 6,457 6,710 12,914 32,285 35,807 64,570 71,614 179,035 358,070 393,877 787,754 1,969,385 3,938,770

Collatz Trajectory (198 steps to reach 1)

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

3,938,770 1,969,385 5,908,156 2,954,078 1,477,039 4,431,118 2,215,559 6,646,678 3,323,339 9,970,018 4,985,009 14,955,028 7,477,514 3,738,757 11,216,272 5,608,136 2,804,068 1,402,034 701,017 2,103,052 1,051,526 525,763 1,577,290 788,645 2,365,936 1,182,968 591,484 295,742 147,871 443,614 221,807 665,422 332,711 998,134 499,067 1,497,202 748,601 2,245,804 1,122,902 561,451 1,684,354 842,177 2,526,532 1,263,266 631,633 1,894,900 947,450 473,725 1,421,176 710,588 355,294 177,647 532,942 266,471 799,414 399,707 1,199,122 599,561 1,798,684 899,342

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,938,769 Browse Full Index Next Integer #3,938,771 →