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Atlas › Integer Profiles › Node 46,751,590

46,751,590

2 × 5 × 19 × 241 × 1021
Deficient Even Composite

46,751,590 factors as 2 × 5 × 19 × 241 × 1021. Its 32 positive divisors give a proper-divisor sum of 42,285,050, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 241 × 1021
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 89,036,640
Proper Divisor Sum 42,285,050
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #46751569 ← → #46751591

Radix Representation

Decimal 46751590
Binary 10110010010101111101100110 (26 bits)
Octal 0o262257546
Hexadecimal 0x2C95F66

Divisor Catalog (32)

1 2 5 10 19 38 95 190 241 482 1,021 1,205 2,042 2,410 4,579 5,105 9,158 10,210 19,399 22,895 38,798 45,790 96,995 193,990 246,061 492,122 1,230,305 2,460,610 4,675,159 9,350,318 23,375,795 46,751,590

Collatz Trajectory (124 steps to reach 1)

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

46,751,590 23,375,795 70,127,386 35,063,693 105,191,080 52,595,540 26,297,770 13,148,885 39,446,656 19,723,328 9,861,664 4,930,832 2,465,416 1,232,708 616,354 308,177 924,532 462,266 231,133 693,400 346,700 173,350 86,675 260,026 130,013 390,040 195,020 97,510 48,755 146,266 73,133 219,400 109,700 54,850 27,425 82,276 41,138 20,569 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242

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