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Atlas › Integer Profiles › Node 4,714,850

4,714,850

2 × 52 × 7 × 19 × 709
Abundant Even Composite

4,714,850 factors as 2 × 5^2 × 7 × 19 × 709. Its 48 positive divisors give a proper-divisor sum of 5,849,950, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 19 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,564,800
Proper Divisor Sum 5,849,950
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4714847 ← → #4714859

Radix Representation

Decimal 4714850
Binary 10001111111000101100010 (23 bits)
Octal 0o21770542
Hexadecimal 0x47F162

Divisor Catalog (48)

1 2 5 7 10 14 19 25 35 38 50 70 95 133 175 190 266 350 475 665 709 950 1,330 1,418 3,325 3,545 4,963 6,650 7,090 9,926 13,471 17,725 24,815 26,942 35,450 49,630 67,355 94,297 124,075 134,710 188,594 248,150 336,775 471,485 673,550 942,970 2,357,425 4,714,850

Collatz Trajectory (74 steps to reach 1)

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

4,714,850 2,357,425 7,072,276 3,536,138 1,768,069 5,304,208 2,652,104 1,326,052 663,026 331,513 994,540 497,270 248,635 745,906 372,953 1,118,860 559,430 279,715 839,146 419,573 1,258,720 629,360 314,680 157,340 78,670 39,335 118,006 59,003 177,010 88,505 265,516 132,758 66,379 199,138 99,569 298,708 149,354 74,677 224,032 112,016 56,008 28,004 14,002 7,001 21,004 10,502 5,251 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832

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