6,132,824

2³ × 37 × 20719

6,132,824 factors as 2^3 × 37 × 20719. Its 16 positive divisors give a proper-divisor sum of 5,677,576, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 20719

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,810,400

Proper Divisor Sum 5,677,576

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6132817 ← → #6132827

Radix Representation

Decimal	6132824
Binary	10111011001010001011000 (23 bits)
Octal	0o27312130
Hexadecimal	0x5D9458

Divisor Catalog (16)

1 2 4 8 37 74 148 296 20,719 41,438 82,876 165,752 766,603 1,533,206 3,066,412 6,132,824

Collatz Trajectory (152 steps to reach 1)

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

6,132,824 3,066,412 1,533,206 766,603 2,299,810 1,149,905 3,449,716 1,724,858 862,429 2,587,288 1,293,644 646,822 323,411 970,234 485,117 1,455,352 727,676 363,838 181,919 545,758 272,879 818,638 409,319 1,227,958 613,979 1,841,938 920,969 2,762,908 1,381,454 690,727 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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