λ
Ratio Atlas
Atlas › Integer Profiles › Node 87,041,384

87,041,384

23 × 23 × 419 × 1129
Deficient Even Composite

87,041,384 factors as 2^3 × 23 × 419 × 1129. Its 32 positive divisors give a proper-divisor sum of 83,814,616, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 419 × 1129
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 170,856,000
Proper Divisor Sum 83,814,616
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #87041369 ← → #87041389

Radix Representation

Decimal 87041384
Binary 101001100000010010101101000 (27 bits)
Octal 0o514022550
Hexadecimal 0x5302568

Divisor Catalog (32)

1 2 4 8 23 46 92 184 419 838 1,129 1,676 2,258 3,352 4,516 9,032 9,637 19,274 25,967 38,548 51,934 77,096 103,868 207,736 473,051 946,102 1,892,204 3,784,408 10,880,173 21,760,346 43,520,692 87,041,384

Collatz Trajectory (205 steps to reach 1)

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

87,041,384 43,520,692 21,760,346 10,880,173 32,640,520 16,320,260 8,160,130 4,080,065 12,240,196 6,120,098 3,060,049 9,180,148 4,590,074 2,295,037 6,885,112 3,442,556 1,721,278 860,639 2,581,918 1,290,959 3,872,878 1,936,439 5,809,318 2,904,659 8,713,978 4,356,989 13,070,968 6,535,484 3,267,742 1,633,871 4,901,614 2,450,807 7,352,422 3,676,211 11,028,634 5,514,317 16,542,952 8,271,476 4,135,738 2,067,869 6,203,608 3,101,804 1,550,902 775,451 2,326,354 1,163,177 3,489,532 1,744,766 872,383 2,617,150 1,308,575 3,925,726 1,962,863 5,888,590 2,944,295 8,832,886 4,416,443 13,249,330 6,624,665 19,873,996

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 #87,041,383 Browse Full Index Next Integer #87,041,385 →