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Atlas › Integer Profiles › Node 46,999,330

46,999,330

2 × 5 × 72 × 95917
Abundant Even Composite

46,999,330 factors as 2 × 5 × 7^2 × 95917. Its 24 positive divisors give a proper-divisor sum of 51,412,538, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 95917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 98,411,868
Proper Divisor Sum 51,412,538
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #46999321 ← → #46999349

Radix Representation

Decimal 46999330
Binary 10110011010010011100100010 (26 bits)
Octal 0o263223442
Hexadecimal 0x2CD2722

Divisor Catalog (24)

1 2 5 7 10 14 35 49 70 98 245 490 95,917 191,834 479,585 671,419 959,170 1,342,838 3,357,095 4,699,933 6,714,190 9,399,866 23,499,665 46,999,330

Collatz Trajectory (199 steps to reach 1)

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

46,999,330 23,499,665 70,498,996 35,249,498 17,624,749 52,874,248 26,437,124 13,218,562 6,609,281 19,827,844 9,913,922 4,956,961 14,870,884 7,435,442 3,717,721 11,153,164 5,576,582 2,788,291 8,364,874 4,182,437 12,547,312 6,273,656 3,136,828 1,568,414 784,207 2,352,622 1,176,311 3,528,934 1,764,467 5,293,402 2,646,701 7,940,104 3,970,052 1,985,026 992,513 2,977,540 1,488,770 744,385 2,233,156 1,116,578 558,289 1,674,868 837,434 418,717 1,256,152 628,076 314,038 157,019 471,058 235,529 706,588 353,294 176,647 529,942 264,971 794,914 397,457 1,192,372 596,186 298,093

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