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47,464,784

24 × 37 × 80177
Deficient Even Composite

47,464,784 factors as 2^4 × 37 × 80177. Its 20 positive divisors give a proper-divisor sum of 46,984,900, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^4 × 37 × 80177
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 94,449,684
Proper Divisor Sum 46,984,900
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #47464777 ← → #47464787

Radix Representation

Decimal 47464784
Binary 10110101000100000101010000 (26 bits)
Octal 0o265040520
Hexadecimal 0x2D44150

Divisor Catalog (20)

1 2 4 8 16 37 74 148 296 592 80,177 160,354 320,708 641,416 1,282,832 2,966,549 5,933,098 11,866,196 23,732,392 47,464,784

Collatz Trajectory (67 steps to reach 1)

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

47,464,784 23,732,392 11,866,196 5,933,098 2,966,549 8,899,648 4,449,824 2,224,912 1,112,456 556,228 278,114 139,057 417,172 208,586 104,293 312,880 156,440 78,220 39,110 19,555 58,666 29,333 88,000 44,000 22,000 11,000 5,500 2,750 1,375 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40

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