λ
Ratio Atlas
Atlas › Integer Profiles › Node 54,341,800

54,341,800

23 × 52 × 167 × 1627
Abundant Even Composite

54,341,800 factors as 2^3 × 5^2 × 167 × 1627. Its 48 positive divisors give a proper-divisor sum of 72,837,560, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 167 × 1627
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 127,179,360
Proper Divisor Sum 72,837,560
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #54341797 ← → #54341803

Radix Representation

Decimal 54341800
Binary 11001111010011000010101000 (26 bits)
Octal 0o317230250
Hexadecimal 0x33D30A8

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 100 167 200 334 668 835 1,336 1,627 1,670 3,254 3,340 4,175 6,508 6,680 8,135 8,350 13,016 16,270 16,700 32,540 33,400 40,675 65,080 81,350 162,700 271,709 325,400 543,418 1,086,836 1,358,545 2,173,672 2,717,090 5,434,180 6,792,725 10,868,360 13,585,450 27,170,900 54,341,800

Collatz Trajectory (88 steps to reach 1)

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

54,341,800 27,170,900 13,585,450 6,792,725 20,378,176 10,189,088 5,094,544 2,547,272 1,273,636 636,818 318,409 955,228 477,614 238,807 716,422 358,211 1,074,634 537,317 1,611,952 805,976 402,988 201,494 100,747 302,242 151,121 453,364 226,682 113,341 340,024 170,012 85,006 42,503 127,510 63,755 191,266 95,633 286,900 143,450 71,725 215,176 107,588 53,794 26,897 80,692 40,346 20,173 60,520 30,260 15,130 7,565 22,696 11,348 5,674 2,837 8,512 4,256 2,128 1,064 532 266

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 #54,341,799 Browse Full Index Next Integer #54,341,801 →