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Atlas › Integer Profiles › Node 6,375,754

6,375,754

2 × 7 × 11 × 19 × 2179
Deficient Even Composite

6,375,754 factors as 2 × 7 × 11 × 19 × 2179. Its 32 positive divisors give a proper-divisor sum of 6,181,046, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 19 × 2179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,556,800
Proper Divisor Sum 6,181,046
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6375751 ← → #6375757

Radix Representation

Decimal 6375754
Binary 11000010100100101001010 (23 bits)
Octal 0o30244512
Hexadecimal 0x61494A

Divisor Catalog (32)

1 2 7 11 14 19 22 38 77 133 154 209 266 418 1,463 2,179 2,926 4,358 15,253 23,969 30,506 41,401 47,938 82,802 167,783 289,807 335,566 455,411 579,614 910,822 3,187,877 6,375,754

Collatz Trajectory (147 steps to reach 1)

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

6,375,754 3,187,877 9,563,632 4,781,816 2,390,908 1,195,454 597,727 1,793,182 896,591 2,689,774 1,344,887 4,034,662 2,017,331 6,051,994 3,025,997 9,077,992 4,538,996 2,269,498 1,134,749 3,404,248 1,702,124 851,062 425,531 1,276,594 638,297 1,914,892 957,446 478,723 1,436,170 718,085 2,154,256 1,077,128 538,564 269,282 134,641 403,924 201,962 100,981 302,944 151,472 75,736 37,868 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445

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