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Atlas › Integer Profiles › Node 3,691,368

3,691,368

23 × 32 × 167 × 307
Abundant Even Composite

3,691,368 factors as 2^3 × 3^2 × 167 × 307. Its 48 positive divisors give a proper-divisor sum of 6,398,712, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 167 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,090,080
Proper Divisor Sum 6,398,712
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3691367 ← → #3691403

Radix Representation

Decimal 3691368
Binary 1110000101001101101000 (22 bits)
Octal 0o16051550
Hexadecimal 0x385368

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 167 307 334 501 614 668 921 1,002 1,228 1,336 1,503 1,842 2,004 2,456 2,763 3,006 3,684 4,008 5,526 6,012 7,368 11,052 12,024 22,104 51,269 102,538 153,807 205,076 307,614 410,152 461,421 615,228 922,842 1,230,456 1,845,684 3,691,368

Collatz Trajectory (234 steps to reach 1)

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

3,691,368 1,845,684 922,842 461,421 1,384,264 692,132 346,066 173,033 519,100 259,550 129,775 389,326 194,663 583,990 291,995 875,986 437,993 1,313,980 656,990 328,495 985,486 492,743 1,478,230 739,115 2,217,346 1,108,673 3,326,020 1,663,010 831,505 2,494,516 1,247,258 623,629 1,870,888 935,444 467,722 233,861 701,584 350,792 175,396 87,698 43,849 131,548 65,774 32,887 98,662 49,331 147,994 73,997 221,992 110,996 55,498 27,749 83,248 41,624 20,812 10,406 5,203 15,610 7,805 23,416

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