λ
Ratio Atlas
Atlas › Integer Profiles › Node 103,200

103,200

25 × 3 × 52 × 43
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 343,728
Proper Divisor Sum 240,528
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #103183 ← → #103217

Radix Representation

Decimal 103200
Binary 11001001100100000 (17 bits)
Octal 0o311440
Hexadecimal 0x19320

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 43 48 50 60 75 80 86 96 100 120 129 150 160 172 200 215 240 258 300 344 400 430 480 516 600 645 688 800 860 1,032 1,075 1,200 1,290 1,376 1,720 2,064 2,150 2,400 2,580 3,225 3,440 4,128 4,300

Collatz Trajectory (66 steps to reach 1)

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

103,200 51,600 25,800 12,900 6,450 3,225 9,676 4,838 2,419 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #103,199 Browse Full Index Next Integer #103,201 →