λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,742,050

2,742,050

2 × 52 × 173 × 317
Deficient Even Composite

2,742,050 factors as 2 × 5^2 × 173 × 317. Its 24 positive divisors give a proper-divisor sum of 2,403,826, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 173 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,145,876
Proper Divisor Sum 2,403,826
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2742041 ← → #2742073

Radix Representation

Decimal 2742050
Binary 1010011101011100100010 (22 bits)
Octal 0o12353442
Hexadecimal 0x29D722

Divisor Catalog (24)

1 2 5 10 25 50 173 317 346 634 865 1,585 1,730 3,170 4,325 7,925 8,650 15,850 54,841 109,682 274,205 548,410 1,371,025 2,742,050

Collatz Trajectory (107 steps to reach 1)

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

2,742,050 1,371,025 4,113,076 2,056,538 1,028,269 3,084,808 1,542,404 771,202 385,601 1,156,804 578,402 289,201 867,604 433,802 216,901 650,704 325,352 162,676 81,338 40,669 122,008 61,004 30,502 15,251 45,754 22,877 68,632 34,316 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #2,742,049 Browse Full Index Next Integer #2,742,051 →