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Atlas › Integer Profiles › Node 3,966,744

3,966,744

23 × 3 × 19 × 8699
Abundant Even Composite

3,966,744 factors as 2^3 × 3 × 19 × 8699. Its 32 positive divisors give a proper-divisor sum of 6,473,256, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 8699
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,440,000
Proper Divisor Sum 6,473,256
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3966727 ← → #3966761

Radix Representation

Decimal 3966744
Binary 1111001000011100011000 (22 bits)
Octal 0o17103430
Hexadecimal 0x3C8718

Divisor Catalog (32)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 8,699 17,398 26,097 34,796 52,194 69,592 104,388 165,281 208,776 330,562 495,843 661,124 991,686 1,322,248 1,983,372 3,966,744

Collatz Trajectory (61 steps to reach 1)

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

3,966,744 1,983,372 991,686 495,843 1,487,530 743,765 2,231,296 1,115,648 557,824 278,912 139,456 69,728 34,864 17,432 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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