λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,061,700

47,061,700

22 × 52 × 7 × 67231
Abundant Even Composite

47,061,700 factors as 2^2 × 5^2 × 7 × 67231. Its 36 positive divisors give a proper-divisor sum of 69,653,052, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 67231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 116,714,752
Proper Divisor Sum 69,653,052
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #47061691 ← → #47061739

Radix Representation

Decimal 47061700
Binary 10110011100001101011000100 (26 bits)
Octal 0o263415304
Hexadecimal 0x2CE1AC4

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 67,231 134,462 268,924 336,155 470,617 672,310 941,234 1,344,620 1,680,775 1,882,468 2,353,085 3,361,550 4,706,170 6,723,100 9,412,340 11,765,425 23,530,850 47,061,700

Collatz Trajectory (186 steps to reach 1)

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

47,061,700 23,530,850 11,765,425 35,296,276 17,648,138 8,824,069 26,472,208 13,236,104 6,618,052 3,309,026 1,654,513 4,963,540 2,481,770 1,240,885 3,722,656 1,861,328 930,664 465,332 232,666 116,333 349,000 174,500 87,250 43,625 130,876 65,438 32,719 98,158 49,079 147,238 73,619 220,858 110,429 331,288 165,644 82,822 41,411 124,234 62,117 186,352 93,176 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #47,061,699 Browse Full Index Next Integer #47,061,701 →