6,407,948

2² × 31² × 1667

6,407,948 factors as 2^2 × 31^2 × 1667. Its 18 positive divisors give a proper-divisor sum of 5,186,320, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^2 × 31^2 × 1667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 11,594,268

Proper Divisor Sum 5,186,320

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6407941 ← → #6407953

Radix Representation

Decimal	6407948
Binary	11000011100011100001100 (23 bits)
Octal	0o30343414
Hexadecimal	0x61C70C

Divisor Catalog (18)

1 2 4 31 62 124 961 1,667 1,922 3,334 3,844 6,668 51,677 103,354 206,708 1,601,987 3,203,974 6,407,948

Collatz Trajectory (240 steps to reach 1)

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

6,407,948 3,203,974 1,601,987 4,805,962 2,402,981 7,208,944 3,604,472 1,802,236 901,118 450,559 1,351,678 675,839 2,027,518 1,013,759 3,041,278 1,520,639 4,561,918 2,280,959 6,842,878 3,421,439 10,264,318 5,132,159 15,396,478 7,698,239 23,094,718 11,547,359 34,642,078 17,321,039 51,963,118 25,981,559 77,944,678 38,972,339 116,917,018 58,458,509 175,375,528 87,687,764 43,843,882 21,921,941 65,765,824 32,882,912 16,441,456 8,220,728 4,110,364 2,055,182 1,027,591 3,082,774 1,541,387 4,624,162 2,312,081 6,936,244 3,468,122 1,734,061 5,202,184 2,601,092 1,300,546 650,273 1,950,820 975,410 487,705 1,463,116

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