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Atlas › Integer Profiles › Node 46,712,464

46,712,464

24 × 17 × 199 × 863
Abundant Even Composite

46,712,464 factors as 2^4 × 17 × 199 × 863. Its 40 positive divisors give a proper-divisor sum of 49,709,936, so this integer is abundant. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 199 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 96,422,400
Proper Divisor Sum 49,709,936
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #46712459 ← → #46712503

Radix Representation

Decimal 46712464
Binary 10110010001100011010010000 (26 bits)
Octal 0o262143220
Hexadecimal 0x2C8C690

Divisor Catalog (40)

1 2 4 8 16 17 34 68 136 199 272 398 796 863 1,592 1,726 3,184 3,383 3,452 6,766 6,904 13,532 13,808 14,671 27,064 29,342 54,128 58,684 117,368 171,737 234,736 343,474 686,948 1,373,896 2,747,792 2,919,529 5,839,058 11,678,116 23,356,232 46,712,464

Collatz Trajectory (248 steps to reach 1)

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

46,712,464 23,356,232 11,678,116 5,839,058 2,919,529 8,758,588 4,379,294 2,189,647 6,568,942 3,284,471 9,853,414 4,926,707 14,780,122 7,390,061 22,170,184 11,085,092 5,542,546 2,771,273 8,313,820 4,156,910 2,078,455 6,235,366 3,117,683 9,353,050 4,676,525 14,029,576 7,014,788 3,507,394 1,753,697 5,261,092 2,630,546 1,315,273 3,945,820 1,972,910 986,455 2,959,366 1,479,683 4,439,050 2,219,525 6,658,576 3,329,288 1,664,644 832,322 416,161 1,248,484 624,242 312,121 936,364 468,182 234,091 702,274 351,137 1,053,412 526,706 263,353 790,060 395,030 197,515 592,546 296,273

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