5,880,784

2⁴ × 7² × 13 × 577

5,880,784 has the prime decomposition 2^4 × 7^2 × 13 × 577. Its 4 distinct prime factors produce 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 13 × 577

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 14,298,564

Proper Divisor Sum 8,417,780

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #5880773 ← → #5880811

Radix Representation

Decimal	5880784
Binary	10110011011101111010000 (23 bits)
Octal	0o26335720
Hexadecimal	0x59BBD0

Divisor Catalog (60)

1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 577 637 728 784 1,154 1,274 1,456 2,308 2,548 4,039 4,616 5,096 7,501 8,078 9,232 10,192 15,002 16,156 28,273 30,004 32,312 52,507 56,546 60,008 64,624 105,014 113,092 120,016 210,028 226,184 367,549 420,056 452,368 735,098 840,112 1,470,196 2,940,392 5,880,784

Collatz Trajectory (152 steps to reach 1)

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

5,880,784 2,940,392 1,470,196 735,098 367,549 1,102,648 551,324 275,662 137,831 413,494 206,747 620,242 310,121 930,364 465,182 232,591 697,774 348,887 1,046,662 523,331 1,569,994 784,997 2,354,992 1,177,496 588,748 294,374 147,187 441,562 220,781 662,344 331,172 165,586 82,793 248,380 124,190 62,095 186,286 93,143 279,430 139,715 419,146 209,573 628,720 314,360 157,180 78,590 39,295 117,886 58,943 176,830 88,415 265,246 132,623 397,870 198,935 596,806 298,403 895,210 447,605 1,342,816

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