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Atlas › Integer Profiles › Node 6,132,861

6,132,861

33 × 7 × 37 × 877
Deficient Odd Composite

6,132,861 factors as 3^3 × 7 × 37 × 877. Its 32 positive divisors give a proper-divisor sum of 4,543,619, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 37 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,676,480
Proper Divisor Sum 4,543,619
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6132857 ← → #6132871

Radix Representation

Decimal 6132861
Binary 10111011001010001111101 (23 bits)
Octal 0o27312175
Hexadecimal 0x5D947D

Divisor Catalog (32)

1 3 7 9 21 27 37 63 111 189 259 333 777 877 999 2,331 2,631 6,139 6,993 7,893 18,417 23,679 32,449 55,251 97,347 165,753 227,143 292,041 681,429 876,123 2,044,287 6,132,861

Collatz Trajectory (152 steps to reach 1)

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

6,132,861 18,398,584 9,199,292 4,599,646 2,299,823 6,899,470 3,449,735 10,349,206 5,174,603 15,523,810 7,761,905 23,285,716 11,642,858 5,821,429 17,464,288 8,732,144 4,366,072 2,183,036 1,091,518 545,759 1,637,278 818,639 2,455,918 1,227,959 3,683,878 1,841,939 5,525,818 2,762,909 8,288,728 4,144,364 2,072,182 1,036,091 3,108,274 1,554,137 4,662,412 2,331,206 1,165,603 3,496,810 1,748,405 5,245,216 2,622,608 1,311,304 655,652 327,826 163,913 491,740 245,870 122,935 368,806 184,403 553,210 276,605 829,816 414,908 207,454 103,727 311,182 155,591 466,774 233,387

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