λ
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3,133,536

25 × 3 × 7 × 4663
Abundant Even Composite

3,133,536 factors as 2^5 × 3 × 7 × 4663. Its 48 positive divisors give a proper-divisor sum of 6,269,088, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 4663
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,402,624
Proper Divisor Sum 6,269,088
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3133531 ← → #3133541

Radix Representation

Decimal 3133536
Binary 1011111101000001100000 (22 bits)
Octal 0o13750140
Hexadecimal 0x2FD060

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4,663 9,326 13,989 18,652 27,978 32,641 37,304 55,956 65,282 74,608 97,923 111,912 130,564 149,216 195,846 223,824 261,128 391,692 447,648 522,256 783,384 1,044,512 1,566,768 3,133,536

Collatz Trajectory (71 steps to reach 1)

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

3,133,536 1,566,768 783,384 391,692 195,846 97,923 293,770 146,885 440,656 220,328 110,164 55,082 27,541 82,624 41,312 20,656 10,328 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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