3,115,992

2³ × 3 × 11² × 29 × 37

3,115,992 has the prime decomposition 2^3 × 3 × 11^2 × 29 × 37. Its 5 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 11^2 × 29 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 9,097,200

Proper Divisor Sum 5,981,208

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3115991 ← → #3115993

Radix Representation

Decimal	3115992
Binary	1011111000101111011000 (22 bits)
Octal	0o13705730
Hexadecimal	0x2F8BD8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 11 12 22 24 29 33 37 44 58 66 74 87 88 111 116 121 132 148 174 222 232 242 264 296 319 348 363 407 444 484 638 696 726 814 888 957 968 1,073 1,221 1,276 1,452 1,628 1,914 2,146 2,442 2,552 2,904 3,219 3,256 3,509 3,828 4,292 4,477 4,884

Collatz Trajectory (76 steps to reach 1)

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

3,115,992 1,557,996 778,998 389,499 1,168,498 584,249 1,752,748 876,374 438,187 1,314,562 657,281 1,971,844 985,922 492,961 1,478,884 739,442 369,721 1,109,164 554,582 277,291 831,874 415,937 1,247,812 623,906 311,953 935,860 467,930 233,965 701,896 350,948 175,474 87,737 263,212 131,606 65,803 197,410 98,705 296,116 148,058 74,029 222,088 111,044 55,522 27,761 83,284 41,642 20,821 62,464 31,232 15,616 7,808 3,904 1,952 976 488 244 122 61 184 92

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