λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,228,964

5,228,964

22 × 32 × 13 × 11173
Abundant Even Composite

5,228,964 factors as 2^2 × 3^2 × 13 × 11173. Its 36 positive divisors give a proper-divisor sum of 9,006,712, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 11173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,235,676
Proper Divisor Sum 9,006,712
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5228963 ← → #5228969

Radix Representation

Decimal 5228964
Binary 10011111100100110100100 (23 bits)
Octal 0o23744644
Hexadecimal 0x4FC9A4

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 11,173 22,346 33,519 44,692 67,038 100,557 134,076 145,249 201,114 290,498 402,228 435,747 580,996 871,494 1,307,241 1,742,988 2,614,482 5,228,964

Collatz Trajectory (157 steps to reach 1)

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

5,228,964 2,614,482 1,307,241 3,921,724 1,960,862 980,431 2,941,294 1,470,647 4,411,942 2,205,971 6,617,914 3,308,957 9,926,872 4,963,436 2,481,718 1,240,859 3,722,578 1,861,289 5,583,868 2,791,934 1,395,967 4,187,902 2,093,951 6,281,854 3,140,927 9,422,782 4,711,391 14,134,174 7,067,087 21,201,262 10,600,631 31,801,894 15,900,947 47,702,842 23,851,421 71,554,264 35,777,132 17,888,566 8,944,283 26,832,850 13,416,425 40,249,276 20,124,638 10,062,319 30,186,958 15,093,479 45,280,438 22,640,219 67,920,658 33,960,329 101,880,988 50,940,494 25,470,247 76,410,742 38,205,371 114,616,114 57,308,057 171,924,172 85,962,086 42,981,043

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,228,963 Browse Full Index Next Integer #5,228,965 →