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Atlas › Integer Profiles › Node 47,389,216

47,389,216

25 × 7 × 211559
Abundant Even Composite

47,389,216 factors as 2^5 × 7 × 211559. Its 24 positive divisors give a proper-divisor sum of 59,237,024, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 211559
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 106,626,240
Proper Divisor Sum 59,237,024
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #47389189 ← → #47389229

Radix Representation

Decimal 47389216
Binary 10110100110001101000100000 (26 bits)
Octal 0o264615040
Hexadecimal 0x2D31A20

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 211,559 423,118 846,236 1,480,913 1,692,472 2,961,826 3,384,944 5,923,652 6,769,888 11,847,304 23,694,608 47,389,216

Collatz Trajectory (173 steps to reach 1)

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

47,389,216 23,694,608 11,847,304 5,923,652 2,961,826 1,480,913 4,442,740 2,221,370 1,110,685 3,332,056 1,666,028 833,014 416,507 1,249,522 624,761 1,874,284 937,142 468,571 1,405,714 702,857 2,108,572 1,054,286 527,143 1,581,430 790,715 2,372,146 1,186,073 3,558,220 1,779,110 889,555 2,668,666 1,334,333 4,003,000 2,001,500 1,000,750 500,375 1,501,126 750,563 2,251,690 1,125,845 3,377,536 1,688,768 844,384 422,192 211,096 105,548 52,774 26,387 79,162 39,581 118,744 59,372 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098

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