51,007,200

2⁵ × 3 × 5² × 53 × 401

51,007,200 factors as 2^5 × 3 × 5^2 × 53 × 401. Its 144 positive divisors give a proper-divisor sum of 118,575,696, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 53 × 401

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 169,582,896

Proper Divisor Sum 118,575,696

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #51007199 ← → #51007207

Radix Representation

Decimal	51007200
Binary	11000010100100111011100000 (26 bits)
Octal	0o302447340
Hexadecimal	0x30A4EE0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 75 80 96 100 106 120 150 159 160 200 212 240 265 300 318 400 401 424 480 530 600 636 795 800 802 848 1,060 1,200 1,203 1,272 1,325 1,590 1,604 1,696 2,005 2,120 2,400 2,406 2,544

Collatz Trajectory (199 steps to reach 1)

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

51,007,200 25,503,600 12,751,800 6,375,900 3,187,950 1,593,975 4,781,926 2,390,963 7,172,890 3,586,445 10,759,336 5,379,668 2,689,834 1,344,917 4,034,752 2,017,376 1,008,688 504,344 252,172 126,086 63,043 189,130 94,565 283,696 141,848 70,924 35,462 17,731 53,194 26,597 79,792 39,896 19,948 9,974 4,987 14,962 7,481 22,444 11,222 5,611 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #51,007,199 Browse Full Index Next Integer #51,007,201 →