λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,166,352

7,166,352

24 × 3 × 173 × 863
Abundant Even Composite

7,166,352 factors as 2^4 × 3 × 173 × 863. Its 40 positive divisors give a proper-divisor sum of 11,475,312, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 173 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,641,664
Proper Divisor Sum 11,475,312
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7166339 ← → #7166353

Radix Representation

Decimal 7166352
Binary 11011010101100110010000 (23 bits)
Octal 0o33254620
Hexadecimal 0x6D5990

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 173 346 519 692 863 1,038 1,384 1,726 2,076 2,589 2,768 3,452 4,152 5,178 6,904 8,304 10,356 13,808 20,712 41,424 149,299 298,598 447,897 597,196 895,794 1,194,392 1,791,588 2,388,784 3,583,176 7,166,352

Collatz Trajectory (129 steps to reach 1)

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

7,166,352 3,583,176 1,791,588 895,794 447,897 1,343,692 671,846 335,923 1,007,770 503,885 1,511,656 755,828 377,914 188,957 566,872 283,436 141,718 70,859 212,578 106,289 318,868 159,434 79,717 239,152 119,576 59,788 29,894 14,947 44,842 22,421 67,264 33,632 16,816 8,408 4,204 2,102 1,051 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,166,351 Browse Full Index Next Integer #7,166,353 →