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Atlas › Integer Profiles › Node 3,585,264

3,585,264

24 × 3 × 113 × 661
Abundant Even Composite

3,585,264 factors as 2^4 × 3 × 113 × 661. Its 40 positive divisors give a proper-divisor sum of 5,772,768, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 113 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,358,032
Proper Divisor Sum 5,772,768
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3585259 ← → #3585271

Radix Representation

Decimal 3585264
Binary 1101101011010011110000 (22 bits)
Octal 0o15532360
Hexadecimal 0x36B4F0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 113 226 339 452 661 678 904 1,322 1,356 1,808 1,983 2,644 2,712 3,966 5,288 5,424 7,932 10,576 15,864 31,728 74,693 149,386 224,079 298,772 448,158 597,544 896,316 1,195,088 1,792,632 3,585,264

Collatz Trajectory (97 steps to reach 1)

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

3,585,264 1,792,632 896,316 448,158 224,079 672,238 336,119 1,008,358 504,179 1,512,538 756,269 2,268,808 1,134,404 567,202 283,601 850,804 425,402 212,701 638,104 319,052 159,526 79,763 239,290 119,645 358,936 179,468 89,734 44,867 134,602 67,301 201,904 100,952 50,476 25,238 12,619 37,858 18,929 56,788 28,394 14,197 42,592 21,296 10,648 5,324 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634

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