5,076,480

2⁹ × 3 × 5 × 661

5,076,480 has the prime decomposition 2^9 × 3 × 5 × 661. Its 4 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^9 × 3 × 5 × 661

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 16,253,424

Proper Divisor Sum 11,176,944

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5076473 ← → #5076503

Radix Representation

Decimal	5076480
Binary	10011010111011000000000 (23 bits)
Octal	0o23273000
Hexadecimal	0x4D7600

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 661 768 960 1,280 1,322 1,536 1,920 1,983 2,560 2,644 3,305 3,840 3,966 5,288 6,610 7,680 7,932 9,915 10,576 13,220 15,864 19,830 21,152 26,440 31,728 39,660 42,304 52,880

Collatz Trajectory (56 steps to reach 1)

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

5,076,480 2,538,240 1,269,120 634,560 317,280 158,640 79,320 39,660 19,830 9,915 29,746 14,873 44,620 22,310 11,155 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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