λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,752,200

1,752,200

23 × 52 × 8761
Abundant Even Composite

1,752,200 factors as 2^3 × 5^2 × 8761. Its 24 positive divisors give a proper-divisor sum of 2,322,130, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 8761
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,074,330
Proper Divisor Sum 2,322,130
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1752197 ← → #1752211

Radix Representation

Decimal 1752200
Binary 110101011110010001000 (21 bits)
Octal 0o6536210
Hexadecimal 0x1ABC88

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 8,761 17,522 35,044 43,805 70,088 87,610 175,220 219,025 350,440 438,050 876,100 1,752,200

Collatz Trajectory (150 steps to reach 1)

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

1,752,200 876,100 438,050 219,025 657,076 328,538 164,269 492,808 246,404 123,202 61,601 184,804 92,402 46,201 138,604 69,302 34,651 103,954 51,977 155,932 77,966 38,983 116,950 58,475 175,426 87,713 263,140 131,570 65,785 197,356 98,678 49,339 148,018 74,009 222,028 111,014 55,507 166,522 83,261 249,784 124,892 62,446 31,223 93,670 46,835 140,506 70,253 210,760 105,380 52,690 26,345 79,036 39,518 19,759 59,278 29,639 88,918 44,459 133,378 66,689

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,752,199 Browse Full Index Next Integer #1,752,201 →