λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,136,200

23,136,200

23 × 52 × 29 × 3989
Abundant Even Composite

23,136,200 factors as 2^3 × 5^2 × 29 × 3989. Its 48 positive divisors give a proper-divisor sum of 32,524,300, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 29 × 3989
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 55,660,500
Proper Divisor Sum 32,524,300
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #23136187 ← → #23136203

Radix Representation

Decimal 23136200
Binary 1011000010000011111001000 (25 bits)
Octal 0o130203710
Hexadecimal 0x16107C8

Divisor Catalog (48)

1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1,160 1,450 2,900 3,989 5,800 7,978 15,956 19,945 31,912 39,890 79,780 99,725 115,681 159,560 199,450 231,362 398,900 462,724 578,405 797,800 925,448 1,156,810 2,313,620 2,892,025 4,627,240 5,784,050 11,568,100 23,136,200

Collatz Trajectory (172 steps to reach 1)

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

23,136,200 11,568,100 5,784,050 2,892,025 8,676,076 4,338,038 2,169,019 6,507,058 3,253,529 9,760,588 4,880,294 2,440,147 7,320,442 3,660,221 10,980,664 5,490,332 2,745,166 1,372,583 4,117,750 2,058,875 6,176,626 3,088,313 9,264,940 4,632,470 2,316,235 6,948,706 3,474,353 10,423,060 5,211,530 2,605,765 7,817,296 3,908,648 1,954,324 977,162 488,581 1,465,744 732,872 366,436 183,218 91,609 274,828 137,414 68,707 206,122 103,061 309,184 154,592 77,296 38,648 19,324 9,662 4,831 14,494 7,247 21,742 10,871 32,614 16,307 48,922 24,461

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #23,136,199 Browse Full Index Next Integer #23,136,201 →