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Atlas › Integer Profiles › Node 3,973,560

3,973,560

23 × 3 × 5 × 33113
Abundant Even Composite

3,973,560 factors as 2^3 × 3 × 5 × 33113. Its 32 positive divisors give a proper-divisor sum of 7,947,480, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 33113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,921,040
Proper Divisor Sum 7,947,480
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3973553 ← → #3973561

Radix Representation

Decimal 3973560
Binary 1111001010000110111000 (22 bits)
Octal 0o17120670
Hexadecimal 0x3CA1B8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 33,113 66,226 99,339 132,452 165,565 198,678 264,904 331,130 397,356 496,695 662,260 794,712 993,390 1,324,520 1,986,780 3,973,560

Collatz Trajectory (92 steps to reach 1)

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

3,973,560 1,986,780 993,390 496,695 1,490,086 745,043 2,235,130 1,117,565 3,352,696 1,676,348 838,174 419,087 1,257,262 628,631 1,885,894 942,947 2,828,842 1,414,421 4,243,264 2,121,632 1,060,816 530,408 265,204 132,602 66,301 198,904 99,452 49,726 24,863 74,590 37,295 111,886 55,943 167,830 83,915 251,746 125,873 377,620 188,810 94,405 283,216 141,608 70,804 35,402 17,701 53,104 26,552 13,276 6,638 3,319 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202

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